subject:(Unitary Fermi Gas)

1. Goulko, Olga. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.

Degree: PhD, 2012, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/241497https://www.repository.cam.ac.uk/bitstream/1810/241497/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241497/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241497/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241497/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/7/thesis.pdf.jpg

► Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases… (more)

▼ Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases of fermionic atoms, like 40K or 6Li that can be created and studied under laboratory conditions. It is especially interesting to study these systems at very low temperatures, where we enter the world of quantum mechanical phenomena. Due to the Fermi-Dirac statistics, a dilute system of spin-polarised fermions exhibits no interactions and can be viewed as an ideal Fermi gas. However, interactions play a crucial role for fermions of several spin species. This thesis addresses several questions concerning interacting Fermi gases, in particular the transition between the normal and the superfluid phase and dynamical properties at higher temperatures. First we will look at the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length. This system is particularly interesting as it exhibits universal behaviour. Due to the strong interactions perturbation theory is inapplicable and no exact theoretical description is available. I will describe the Determinant Diagrammatic Monte Carlo algorithm with which the unitary Fermi gas can be studied from first principles. This algorithm fails in the presence of a spin imbalance (unequal number of particles in the two components) due to a sign problem. I will show how to apply reweighting techniques to generalise the algorithm to the imbalanced case, and present results for the critical temperature and other thermodynamic observables at the critical point, namely the chemical potential, the energy per particle and the contact density. These are the first numerical results for the imbalanced unitary Fermi gas at finite temperature. I will also show how temperatures beyond the critical point can be accessed and present results for the equation of state and the temperature dependence of the contact density. At sufficiently high temperatures a semiclassical description captures all relevant physical features of the system. The dynamics of an interacting Fermi gas can then be studied via a numerical simulation of the Boltzmann equation. I will describe such a numerical setup and apply it to study the collision of two spin-polarised fermionic clouds. When the two components are separated in an elongated harmonic trap and then released, they collide and for sufficiently strong interactions can bounce off each other several times. I will discuss the different types of the qualitative behaviour, show how they can be interpreted in terms of the equilibrium properties of the system, and explain how they relate to the coupling between different excitation modes. I will also demonstrate how transport coefficients, for instance the spin drag, can be extracted from the numerical data.

Subjects/Keywords: Cold atoms; Interacting Fermi gas; Unitary Fermi gas; Quantum Monte Carlo; Superfluidity

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APA (6^th Edition):

Goulko, O. (2012). Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/241497https://www.repository.cam.ac.uk/bitstream/1810/241497/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241497/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241497/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241497/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/7/thesis.pdf.jpg

Chicago Manual of Style (16^th Edition):

Goulko, Olga. “Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.” 2012. Doctoral Dissertation, University of Cambridge. Accessed March 05, 2021. http://www.dspace.cam.ac.uk/handle/1810/241497https://www.repository.cam.ac.uk/bitstream/1810/241497/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241497/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241497/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241497/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/7/thesis.pdf.jpg.

MLA Handbook (7^th Edition):

Goulko, Olga. “Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.” 2012. Web. 05 Mar 2021.

Vancouver:

Goulko O. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2021 Mar 05]. Available from: http://www.dspace.cam.ac.uk/handle/1810/241497https://www.repository.cam.ac.uk/bitstream/1810/241497/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241497/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241497/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241497/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/7/thesis.pdf.jpg.

Council of Science Editors:

Goulko O. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: http://www.dspace.cam.ac.uk/handle/1810/241497https://www.repository.cam.ac.uk/bitstream/1810/241497/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/3/license_url ; https://www.repository.cam.ac.uk/bitstream/1810/241497/4/license_text ; https://www.repository.cam.ac.uk/bitstream/1810/241497/5/license_rdf ; https://www.repository.cam.ac.uk/bitstream/1810/241497/6/thesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/241497/7/thesis.pdf.jpg

University of Cambridge

2. Goulko, Olga. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.

Degree: PhD, 2012, University of Cambridge

URL: https://doi.org/10.17863/CAM.16110 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546952

► Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases… (more)

▼ Fermionic matter is ubiquitous in nature, from the electrons in metals and semiconductors or the neutrons in the inner crust of neutron stars, to gases of fermionic atoms, like 40K or 6Li that can be created and studied under laboratory conditions. It is especially interesting to study these systems at very low temperatures, where we enter the world of quantum mechanical phenomena. Due to the Fermi-Dirac statistics, a dilute system of spin-polarised fermions exhibits no interactions and can be viewed as an ideal Fermi gas. However, interactions play a crucial role for fermions of several spin species. This thesis addresses several questions concerning interacting Fermi gases, in particular the transition between the normal and the superfluid phase and dynamical properties at higher temperatures. First we will look at the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length. This system is particularly interesting as it exhibits universal behaviour. Due to the strong interactions perturbation theory is inapplicable and no exact theoretical description is available. I will describe the Determinant Diagrammatic Monte Carlo algorithm with which the unitary Fermi gas can be studied from first principles. This algorithm fails in the presence of a spin imbalance (unequal number of particles in the two components) due to a sign problem. I will show how to apply reweighting techniques to generalise the algorithm to the imbalanced case, and present results for the critical temperature and other thermodynamic observables at the critical point, namely the chemical potential, the energy per particle and the contact density. These are the first numerical results for the imbalanced unitary Fermi gas at finite temperature. I will also show how temperatures beyond the critical point can be accessed and present results for the equation of state and the temperature dependence of the contact density. At sufficiently high temperatures a semiclassical description captures all relevant physical features of the system. The dynamics of an interacting Fermi gas can then be studied via a numerical simulation of the Boltzmann equation. I will describe such a numerical setup and apply it to study the collision of two spin-polarised fermionic clouds. When the two components are separated in an elongated harmonic trap and then released, they collide and for sufficiently strong interactions can bounce off each other several times. I will discuss the different types of the qualitative behaviour, show how they can be interpreted in terms of the equilibrium properties of the system, and explain how they relate to the coupling between different excitation modes. I will also demonstrate how transport coefficients, for instance the spin drag, can be extracted from the numerical data.

Subjects/Keywords: 500; Cold atoms; Interacting Fermi gas; Unitary Fermi gas; Quantum Monte Carlo; Superfluidity

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APA (6^th Edition):

Goulko, O. (2012). Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.16110 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546952

Chicago Manual of Style (16^th Edition):

Goulko, Olga. “Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.” 2012. Doctoral Dissertation, University of Cambridge. Accessed March 05, 2021. https://doi.org/10.17863/CAM.16110 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546952.

MLA Handbook (7^th Edition):

Goulko, Olga. “Thermodynamic and hydrodynamic behaviour of interacting Fermi gases.” 2012. Web. 05 Mar 2021.

Vancouver:

Goulko O. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. [Internet] [Doctoral dissertation]. University of Cambridge; 2012. [cited 2021 Mar 05]. Available from: https://doi.org/10.17863/CAM.16110 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546952.

Council of Science Editors:

Goulko O. Thermodynamic and hydrodynamic behaviour of interacting Fermi gases. [Doctoral Dissertation]. University of Cambridge; 2012. Available from: https://doi.org/10.17863/CAM.16110 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.546952

University of Illinois – Urbana-Champaign

3. Knapp, Adam Christopher. A continuum path integral approach to the simulation of a unitary gas.

Degree: PhD, Chemical Physics, 2015, University of Illinois – Urbana-Champaign

URL: http://hdl.handle.net/2142/88132

► This thesis presents an investigation by simulation of a unpolarized fermionic unitary gas system composed of two interacting fermionic species. While these species do not… (more)

Subjects/Keywords: Unitary Fermi Gas; Computational Simulation of Cold Atoms

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APA (6^th Edition):

Knapp, A. C. (2015). A continuum path integral approach to the simulation of a unitary gas. (Doctoral Dissertation). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/88132

Chicago Manual of Style (16^th Edition):

Knapp, Adam Christopher. “A continuum path integral approach to the simulation of a unitary gas.” 2015. Doctoral Dissertation, University of Illinois – Urbana-Champaign. Accessed March 05, 2021. http://hdl.handle.net/2142/88132.

MLA Handbook (7^th Edition):

Knapp, Adam Christopher. “A continuum path integral approach to the simulation of a unitary gas.” 2015. Web. 05 Mar 2021.

Vancouver:

Knapp AC. A continuum path integral approach to the simulation of a unitary gas. [Internet] [Doctoral dissertation]. University of Illinois – Urbana-Champaign; 2015. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/2142/88132.

Council of Science Editors:

Knapp AC. A continuum path integral approach to the simulation of a unitary gas. [Doctoral Dissertation]. University of Illinois – Urbana-Champaign; 2015. Available from: http://hdl.handle.net/2142/88132

University of Colorado

4. Young, Ryan E. Hydrodynamics of Unitary Fermi Gases.

Degree: MA, Applied Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/appm_gradetds/40

► Unitary fermi gases have been widely studied as they provide a tabletop archetype for research on strongly coupled many body systems and perfect fluids.… (more)

Subjects/Keywords: Elliptic Flow; Lattice Boltzmann; Stochastic Hydrodynamics; Unitary Fermi Gas; Applied Mathematics; Physics

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APA (6^th Edition):

Young, R. E. (2013). Hydrodynamics of Unitary Fermi Gases. (Masters Thesis). University of Colorado. Retrieved from https://scholar.colorado.edu/appm_gradetds/40

Chicago Manual of Style (16^th Edition):

Young, Ryan E. “Hydrodynamics of Unitary Fermi Gases.” 2013. Masters Thesis, University of Colorado. Accessed March 05, 2021. https://scholar.colorado.edu/appm_gradetds/40.

MLA Handbook (7^th Edition):

Young, Ryan E. “Hydrodynamics of Unitary Fermi Gases.” 2013. Web. 05 Mar 2021.

Vancouver:

Young RE. Hydrodynamics of Unitary Fermi Gases. [Internet] [Masters thesis]. University of Colorado; 2013. [cited 2021 Mar 05]. Available from: https://scholar.colorado.edu/appm_gradetds/40.

Council of Science Editors:

Young RE. Hydrodynamics of Unitary Fermi Gases. [Masters Thesis]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/appm_gradetds/40

University of Washington

5. Richie-Halford, Adam. Quantum Monte Carlo Studies of the BCS-BEC crossover.

Degree: PhD, 2020, University of Washington

URL: http://hdl.handle.net/1773/46157

► This dissertation focuses on the physics of dilute Fermi gases in the so-called BCS-BEC crossover, with short-range attractive interactions and large scattering lengths. It introduces… (more)

Subjects/Keywords: BCS-BEC crossover; Neutron Matter; Pseudogap; Quantum Monte Carlo; Superfluidity; Unitary Fermi Gas; Physics; Condensed matter physics; Nuclear physics and radiation; Physics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Richie-Halford, A. (2020). Quantum Monte Carlo Studies of the BCS-BEC crossover. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/46157

Chicago Manual of Style (16^th Edition):

Richie-Halford, Adam. “Quantum Monte Carlo Studies of the BCS-BEC crossover.” 2020. Doctoral Dissertation, University of Washington. Accessed March 05, 2021. http://hdl.handle.net/1773/46157.

MLA Handbook (7^th Edition):

Richie-Halford, Adam. “Quantum Monte Carlo Studies of the BCS-BEC crossover.” 2020. Web. 05 Mar 2021.

Vancouver:

Richie-Halford A. Quantum Monte Carlo Studies of the BCS-BEC crossover. [Internet] [Doctoral dissertation]. University of Washington; 2020. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/1773/46157.

Council of Science Editors:

Richie-Halford A. Quantum Monte Carlo Studies of the BCS-BEC crossover. [Doctoral Dissertation]. University of Washington; 2020. Available from: http://hdl.handle.net/1773/46157

6. Jaramillo Avila, Benjamin Raziel. Functional Renormalisation Group and Nuclear Matter.

Degree: 2015, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:266284

►

This thesis deals with systems of interacting particles with very low energy in the limit where the particle-particle scattering is much larger than the range… (more)

▼

This thesis deals with systems of interacting particles with very low energy in the limit where the particle-particle scattering is much larger than the range of the interactions. We use a quantum-field-theory approach which allows us to study both few-body and dense-matter systems in a unified framework. This allows to introduce composite fields of two and three particles (when appropriate). The quantum corrections are calculated nonperturbatively with the Functional RenormalisationGroup.We deal with three types of systems. First we study systems with three and four scalar particles. For three-particle systems our framework describes the Efimov effect. During the FRG flow in the scaling limit, the four-particle system has an infinite sequence of (unphysical) four-particle states on top of each Efimov trimer. This is a case of super Efimov behaviour. Three of these four-particle states survive to the physical limit. Two of these three states have been found in exact quantum-mechanical calculations, and have also been observed in gases of ultracold atoms.Next, this thesis studies systems of three and four spin-1/2 particles. In the scaling limit, we find attractive fixed points for the three- and four-particle systems. Out of the scaling limit, we study atom-molecule scattering and molecule-molecule scattering, in particular their scattering length. Finally, we study dense-matter systems of spin-1/2 particles. This calculation includes all the two-, three-, and four-particle interactions. These systems show spontaneous symmetry breaking: the two-particle field has a finite classical value. We find the value of the atom gap in units of the chemical potential.

This thesis deals with systems of interacting particles with very low energy in the limit where the particle-particle scattering is much larger than the range of the interactions. We use a quantum-field-theory approach which allows us to study both few-body and dense-matter systems in a unified framework. This allows to introduce composite fields of two and three particles (when appropriate). The quantum corrections are calculated nonperturbatively with the Functional RenormalisationGroup.We deal with three types of systems. First we study systems with three and four scalar particles. For three-particle systems our framework describes the Efimov effect. During the FRG flow in the scaling limit, the four-particle system has an infinite sequence of (unphysical) four-particle states on top of each Efimov trimer. This is a case of super Efimov behaviour. Three of these four-particle states survive to the physical limit. Two of these three states have been found in exact quantum-mechanical calculations, and have also been observed in gases of ultracold atoms.Next, this thesis studies systems of three and four spin-1/2 particles. In the scaling limit, we find attractive fixed points for the three- and four-particle systems. Out of the scaling limit, we study atom-molecule scattering and molecule-molecule scattering, in particular their scattering length. Finally, we…

Advisors/Committee Members: Birse, Michael.

Subjects/Keywords: Functional Renormalisation Group; unitary Fermi gas; tetramer; ultracold atomic gases

…Fermi sphere . . . . . . . . . Ratio of the gap to the chemical potential 8… …gas that contains two species of fermions, and where there is an interaction between every… …attractive, then the gas is in the Bardeen-Cooper-Schrieffer (BCS) regime. There, the… …behaviours. This consists of Fermi gases where the interaction is close to creating weakly bound… …energy bound state is known as unitary limit. The BCS-BEC crossover has conceptual importance…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jaramillo Avila, B. R. (2015). Functional Renormalisation Group and Nuclear Matter. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:266284

Chicago Manual of Style (16^th Edition):

Jaramillo Avila, Benjamin Raziel. “Functional Renormalisation Group and Nuclear Matter.” 2015. Doctoral Dissertation, University of Manchester. Accessed March 05, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:266284.

MLA Handbook (7^th Edition):

Jaramillo Avila, Benjamin Raziel. “Functional Renormalisation Group and Nuclear Matter.” 2015. Web. 05 Mar 2021.

Vancouver:

Jaramillo Avila BR. Functional Renormalisation Group and Nuclear Matter. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Mar 05]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:266284.

Council of Science Editors:

Jaramillo Avila BR. Functional Renormalisation Group and Nuclear Matter. [Doctoral Dissertation]. University of Manchester; 2015. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:266284

7. Meunier, Elisa. Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins.

Degree: Docteur es, Physique théorique, 2012, Université François-Rabelais de Tours

URL: http://www.theses.fr/2012TOUR4037

►

La théorie des spins élevés est le domaine de la physique théorique au centre de cette thèse. Le contexte général de la naissance de cette… (more)

▼

La théorie des spins élevés est le domaine de la physique théorique au centre de cette thèse. Le contexte général de la naissance de cette théorie est présentée dans l’introduction. La première partie est axée sur les ingrédients (méthode de Noether, fonctions génératrices et formalisme ambiant) permettant la construction de vertex cubiques entre un champ scalaire de matière et un champ de jauge de spin élevé dans un espace-temps à courbure constante à partir des courants conservés en espace-temps plat. Dans un second temps, nous préparons les éléments pour un futur test de la correspondance holographique à l’ordre cubique voire quartique en la constante de couplage. Plus précisément, nous révisons en détail le calcul de certains propagateurs, ce qui nous mène à calculer les fonctions à trois points impliquant deux scalaires. La dernière partie, bien que concernant toujours l’holographie des spins élevés, traite de la physique non-relativiste. Les symétries et les courants d’un gaz parfait/unitaire de Fermi y sont étudiés. Le lien entre physiques relativiste et non-relativiste est obtenue grâce à la réduction dimensionnelle de Bargmann.

The higher spin theory is the field of theoretical physics at the center of this thesis. The general context of the birth of this theory is presenting in the introduction. The first part focuses on the ingredients (Noether method, generating functions and ambient formalism) for the construction of cubic vertices between a scalar matter field and a higher spin gauge field in a constant curvature space-time from conserved currents in flat space-time. In a second step, we prepare the around for a future test of the holographic correspondence in the cubic or quartic order in the coupling constant. More specifically, we review in detail the computation of some propagators, which leads us to calculate three-point functions involving two scalars. The last part, although always on the higher spin holography, deals with non-relativistic physics. Symmetries and currents of an ideal or unitary Fermi gas are studied. The link between relativistic and non-relativistic physics is obtained by Bargmann dimensional reduction.

Advisors/Committee Members: Bekaert, Xavier (thesis director).

Subjects/Keywords: Symétries; Méthode de Noether; Courants conservés; Espace-temps de courbure constante; Formalisme ambiant; Holographie; Correspondance AdS/CFT; Spins élevés; Gaz unitaire de Fermi; Symmetries; Noether method; Conserved currents; Spacetime of constant curvature; Ambient formalism; Holography; AdS/CFT correspondence; Higher spin; Unitary Fermi gas

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Meunier, E. (2012). Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins. (Doctoral Dissertation). Université François-Rabelais de Tours. Retrieved from http://www.theses.fr/2012TOUR4037

Chicago Manual of Style (16^th Edition):

Meunier, Elisa. “Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins.” 2012. Doctoral Dissertation, Université François-Rabelais de Tours. Accessed March 05, 2021. http://www.theses.fr/2012TOUR4037.

MLA Handbook (7^th Edition):

Meunier, Elisa. “Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins.” 2012. Web. 05 Mar 2021.

Vancouver:

Meunier E. Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins. [Internet] [Doctoral dissertation]. Université François-Rabelais de Tours; 2012. [cited 2021 Mar 05]. Available from: http://www.theses.fr/2012TOUR4037.

Council of Science Editors:

Meunier E. Symétries, courants et holographie des spins élevés : Symmetries, currents and holography of higher spins. [Doctoral Dissertation]. Université François-Rabelais de Tours; 2012. Available from: http://www.theses.fr/2012TOUR4037

8. LUO, YUAN LUNG. The Dynamics of the Unitary Fermi Gas.

Degree: PhD, 2013, University of Washington

URL: http://hdl.handle.net/1773/24307

► This dissertation is concerned with the dynamics of dilute Fermi gases in the unitary regime with short-range interaction and infinite scattering length. This work represents… (more)

Subjects/Keywords: Dark Solitons; High Performance Computing; Quantized vortices; Superfluidity; Ultracold Fermi Gas; Unitary Fermi Gas; Physics; Low temperature physics; physics

…profile in the unitary fermi gas, while the dashed and dot-dashed lines were solutions in the… …system. The plot shows the universality of the unitary fermi gas, its quadratic relation… …of the trap. . . . . . . . . . . . . . 59 4.1 The Duke unitary fermi gas collision… …65 4.4 2D + 1 Collision simulation of unitary fermi gas in a 256 by 16 2D+1 system. The… …67 vi 4.6 2D + 1 Collision simulation of unitary fermi gas in a 512 by 16 system (…

10 more images…

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APA (6^th Edition):

LUO, Y. L. (2013). The Dynamics of the Unitary Fermi Gas. (Doctoral Dissertation). University of Washington. Retrieved from http://hdl.handle.net/1773/24307

Chicago Manual of Style (16^th Edition):

LUO, YUAN LUNG. “The Dynamics of the Unitary Fermi Gas.” 2013. Doctoral Dissertation, University of Washington. Accessed March 05, 2021. http://hdl.handle.net/1773/24307.

MLA Handbook (7^th Edition):

LUO, YUAN LUNG. “The Dynamics of the Unitary Fermi Gas.” 2013. Web. 05 Mar 2021.

Vancouver:

LUO YL. The Dynamics of the Unitary Fermi Gas. [Internet] [Doctoral dissertation]. University of Washington; 2013. [cited 2021 Mar 05]. Available from: http://hdl.handle.net/1773/24307.

Council of Science Editors:

LUO YL. The Dynamics of the Unitary Fermi Gas. [Doctoral Dissertation]. University of Washington; 2013. Available from: http://hdl.handle.net/1773/24307

9. Laurent, Sébastien. Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé.

Degree: Docteur es, Physique, 2017, Paris Sciences et Lettres (ComUE)

URL: http://www.theses.fr/2017PSLEE023

►

La compréhension des effets des interactions dans un ensemble de particules quantiques représente un enjeu majeur de la physique moderne. Les atomes ultra-froids sont rapidement… (more)

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La compréhension des effets des interactions dans un ensemble de particules quantiques représente un enjeu majeur de la physique moderne. Les atomes ultra-froids sont rapidement devenus un outil incomparable pour étudier ces systèmes quantiques fortement corrélés. Dans cette thèse, nous présentons plusieurs travaux portant sur les propriétés d’un mélange de superfluides de Bose et de Fermi créé à l’aide de vapeurs ultra-froides de ⁷Li et de ⁶Li. Nous étudions tout d'abord les propriétés hydrodynamiques du mélange en créant un contre-courant entre les superfluides. L'écoulement est dissipatif uniquement au dessus d'une vitesse critique que nous mesurons dans le crossover BEC-BCS. Une simulation numérique d’un contre-courant de deux condensats permet de mieux comprendre les mécanismes sous-jacents mis en jeu dans la dynamique. En particulier, l'étude numérique fournit des preuves supplémentaires que l'origine de la dissipation dans nos expériences est liée à l'émission d'excitation élémentaires dans chaque superfluide. Finalement, nous nous intéressons aux pertes inélastiques par recombinaison à trois corps qui peuvent limiter la stabilité de nos nuages. Ces pertes sont intimement liées aux corrélations à courte distance présentes dans le système et sont ainsi connectées aux propriétés universelles du gaz quantique. Cela se manifeste notamment par l’apparition de dépendances en densité ou en température inusuelles du taux de perte lorsque le système devient fortement corrélé. Nous démontrons cet effet dans deux exemples où les interactions sont résonantes, le cas du gaz de Bose unitaire et celui de notre mélange de superfluides Bose-Fermi. Plus généralement, nos travaux montrent que ces pertes inélastiques peuvent être utilisées pour sonder les corrélations quantiques dans un système en fortes interactions.

Understanding the effect of interactions in quantum many-body systems presents some of the most compelling challenges in modern physics. Ultracold atoms have emerged as a versatile platform to engineer and investigate these strongly correlated systems. In this thesis, we study the properties of a mixture of Bose and Fermi superfluids with tunable interactions produced using ultracold vapors of ⁷Li and ⁶Li. We first study the hydrodynamic properties of the mixture by creating a counterflow between the superfluids. The relative motion only exhibit dissipation above a critical velocity that we measure in the BEC-BCS crossover. A numerical simulation of counterflowing condensates allows for a better understanding of the underlying mechanisms at play in the dynamics. In particular, this numerical study provides additional evidence that the onset of friction in our experiment is due to the simultaneous generation of elementary excitations in both superfluids. Finally, we consider the inelastic losses that occur via three-body recombination in our cold gases. This few-body process is intimately related to short-distance correlations and is thereby connected to the universal properties of the many-body system. This…

Advisors/Committee Members: Salomon, Christophe (thesis director), Chevy, Frédéric (thesis director).

Subjects/Keywords: Atomes froids; Superfluidité; Lithium; Gaz quantiques; Mélange de superfluides; Vitesse critique; Simulation de Gross-Pitaevskii; Gaz de Fermi fortement corrélé; Gaz de Bose unitaire; Pertes inélastiques; Contact de Tan; Corrélations quantiques; Cold atoms; Superfluidity; Lithium; Quantum gases; Mixture of superfluids; Critical velocity; Gross-Pitaevskii simulation; Strongly interacting Fermi gas; Unitary Bose gas; Inelastic losses; Tan’s contact; Quantum correlations; 530

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APA (6^th Edition):

Laurent, S. (2017). Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé. (Doctoral Dissertation). Paris Sciences et Lettres (ComUE). Retrieved from http://www.theses.fr/2017PSLEE023

Chicago Manual of Style (16^th Edition):

Laurent, Sébastien. “Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé.” 2017. Doctoral Dissertation, Paris Sciences et Lettres (ComUE). Accessed March 05, 2021. http://www.theses.fr/2017PSLEE023.

MLA Handbook (7^th Edition):

Laurent, Sébastien. “Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé.” 2017. Web. 05 Mar 2021.

Vancouver:

Laurent S. Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé. [Internet] [Doctoral dissertation]. Paris Sciences et Lettres (ComUE); 2017. [cited 2021 Mar 05]. Available from: http://www.theses.fr/2017PSLEE023.

Council of Science Editors:

Laurent S. Dynamics and stability of a Bose-Fermi mixture : counterflow of superfluids and inelastic decay in a strongly interacting gas : Dynamique et stabilité d'un mélange de Bose-Fermi : contre-courant de superfluides et pertes inélastiques dans un gaz fortement corrélé. [Doctoral Dissertation]. Paris Sciences et Lettres (ComUE); 2017. Available from: http://www.theses.fr/2017PSLEE023

10. Jaramillo Avila, Benjamin Raziel. Functional renormalisation group and nuclear matter.

Degree: PhD, 2015, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/functional-renormalisation-group-and-nuclear-matter(eefc41b3-cc1b-4ed6-acf6-4008c44e93c1).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.654849

► This thesis deals with systems of interacting particles with very low energy in the limit where the particle-particle scattering is much larger than the range… (more)

Subjects/Keywords: 539.7; Functional Renormalisation Group; unitary Fermi gas; tetramer; ultracold atomic gases

…Fermi sphere . . . . . . . . . Ratio of the gap to the chemical potential 8… …near-zero temperature display different types of behaviour. Consider a gas that contains two… …not in the same species. If the interaction is very weakly attractive, then the gas is in… …of Fermi gases where the interaction is close to creating weakly bound two-particle states… …as unitary limit. The BCS-BEC crossover has conceptual importance for different fields of…

1 more image…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Jaramillo Avila, B. R. (2015). Functional renormalisation group and nuclear matter. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/functional-renormalisation-group-and-nuclear-matter(eefc41b3-cc1b-4ed6-acf6-4008c44e93c1).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.654849

Chicago Manual of Style (16^th Edition):

Jaramillo Avila, Benjamin Raziel. “Functional renormalisation group and nuclear matter.” 2015. Doctoral Dissertation, University of Manchester. Accessed March 05, 2021. https://www.research.manchester.ac.uk/portal/en/theses/functional-renormalisation-group-and-nuclear-matter(eefc41b3-cc1b-4ed6-acf6-4008c44e93c1).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.654849.

MLA Handbook (7^th Edition):

Jaramillo Avila, Benjamin Raziel. “Functional renormalisation group and nuclear matter.” 2015. Web. 05 Mar 2021.

Vancouver:

Jaramillo Avila BR. Functional renormalisation group and nuclear matter. [Internet] [Doctoral dissertation]. University of Manchester; 2015. [cited 2021 Mar 05]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/functional-renormalisation-group-and-nuclear-matter(eefc41b3-cc1b-4ed6-acf6-4008c44e93c1).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.654849.

Council of Science Editors:

Jaramillo Avila BR. Functional renormalisation group and nuclear matter. [Doctoral Dissertation]. University of Manchester; 2015. Available from: https://www.research.manchester.ac.uk/portal/en/theses/functional-renormalisation-group-and-nuclear-matter(eefc41b3-cc1b-4ed6-acf6-4008c44e93c1).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.654849

University of Guelph

11. Ismail, Nawar. Effective Mass and Machine Learning in Strongly Interacting Neutron Matter.

Degree: MS, Department of Physics, 2020, University of Guelph

URL: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/21294

► This thesis contains two topics related to strongly interacting neutron matter. The first considers the effective mass, described in Landau Fermi liquid theory, which aims… (more)

Subjects/Keywords: nuclear physics; neutron matter; strongly interacting; fermions; machine learning; effective mass; quantum monte carlo; QMC; many-body; Landau Fermi Liquid Theory; unitary gas; chiral; finite size effects; thermodynamic limit; auxiliary field diffusion monte carlo; neural network; extrapolation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Ismail, N. (2020). Effective Mass and Machine Learning in Strongly Interacting Neutron Matter. (Masters Thesis). University of Guelph. Retrieved from https://atrium.lib.uoguelph.ca/xmlui/handle/10214/21294

Chicago Manual of Style (16^th Edition):

Ismail, Nawar. “Effective Mass and Machine Learning in Strongly Interacting Neutron Matter.” 2020. Masters Thesis, University of Guelph. Accessed March 05, 2021. https://atrium.lib.uoguelph.ca/xmlui/handle/10214/21294.

MLA Handbook (7^th Edition):

Ismail, Nawar. “Effective Mass and Machine Learning in Strongly Interacting Neutron Matter.” 2020. Web. 05 Mar 2021.

Vancouver:

Ismail N. Effective Mass and Machine Learning in Strongly Interacting Neutron Matter. [Internet] [Masters thesis]. University of Guelph; 2020. [cited 2021 Mar 05]. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/21294.

Council of Science Editors:

Ismail N. Effective Mass and Machine Learning in Strongly Interacting Neutron Matter. [Masters Thesis]. University of Guelph; 2020. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/21294

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Open Access Theses and Dissertations