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You searched for subject:(coupled harmonic oscillators). Showing records 1 – 3 of 3 total matches.

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Universiteit Utrecht

1. Jonker, M. Entanglement entropy of coupled harmonic oscillators: an approach in Fock space.

Degree: 2016, Universiteit Utrecht

It has been known for decades that black holes behave as thermodynamic objects and, as such, have an entropy, which was acquired in exact form as the Bekenstein-Hawking entropy. However, the origin of this entropy, and in particular its proportionality to the area of the horizon, remained unexplained. Motivated by this mystery, several authors examined the possibility of entanglement entropy as a source of black hole entropy, by considering a scalar ?eld in the ground state and tracing out the degrees of freedom inside an imaginary sphere, analogous to the interior of the black hole. The resulting entanglement entropy between the two regions turned out to scale with the area of their mutual boundary. In the simplest model the scalar ?eld is represented by a system of coupled harmonic oscillators. After an introduction to the phenomenon of quantum entanglement and the associated entanglement entropy, we will review the problem of two coupled oscillators in the ground state and derive the entanglement entropy using an approach in Fock space, as opposed to the standard method involving integrals in positon space. This will also allow us to look at some excited states of the system. Subsequently we will try to extend this approach to a system of N coupled harmonic oscillators and derive the entanglement entropy between an inner and outer region of oscillators. Advisors/Committee Members: Vandoren, S..

Subjects/Keywords: entanglement entropy; coupled harmonic oscillators

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

APA (6th Edition):

Jonker, M. (2016). Entanglement entropy of coupled harmonic oscillators: an approach in Fock space. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/337058

Chicago Manual of Style (16th Edition):

Jonker, M. “Entanglement entropy of coupled harmonic oscillators: an approach in Fock space.” 2016. Masters Thesis, Universiteit Utrecht. Accessed July 17, 2019. http://dspace.library.uu.nl:8080/handle/1874/337058.

MLA Handbook (7th Edition):

Jonker, M. “Entanglement entropy of coupled harmonic oscillators: an approach in Fock space.” 2016. Web. 17 Jul 2019.

Vancouver:

Jonker M. Entanglement entropy of coupled harmonic oscillators: an approach in Fock space. [Internet] [Masters thesis]. Universiteit Utrecht; 2016. [cited 2019 Jul 17]. Available from: http://dspace.library.uu.nl:8080/handle/1874/337058.

Council of Science Editors:

Jonker M. Entanglement entropy of coupled harmonic oscillators: an approach in Fock space. [Masters Thesis]. Universiteit Utrecht; 2016. Available from: http://dspace.library.uu.nl:8080/handle/1874/337058


University of Toronto

2. Alekajbaf, Milad. Robust Synchronization in Networks of Compartmental Systems.

Degree: 2014, University of Toronto

This thesis studies robust synchronization in networks of compartmental systems motivated by cellular networks. These networks consist of compartments each of which is composed by interconnected subunits. We investigate conditions on the dynamics of the subunits and on the interconnection topology that guarantee robust synchronization in the presence of external disturbances and possibly nonlinear perturbations on the network. The results are illustrated with several examples, including a network of genetic oscillators.

M.A.S.

Advisors/Committee Members: Scardovi, Luca, Electrical and Computer Engineering.

Subjects/Keywords: compartmental models; control theory; coupled harmonic oscillators; robustness; synchronization; systems biology; 0544

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

APA (6th Edition):

Alekajbaf, M. (2014). Robust Synchronization in Networks of Compartmental Systems. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/68089

Chicago Manual of Style (16th Edition):

Alekajbaf, Milad. “Robust Synchronization in Networks of Compartmental Systems.” 2014. Masters Thesis, University of Toronto. Accessed July 17, 2019. http://hdl.handle.net/1807/68089.

MLA Handbook (7th Edition):

Alekajbaf, Milad. “Robust Synchronization in Networks of Compartmental Systems.” 2014. Web. 17 Jul 2019.

Vancouver:

Alekajbaf M. Robust Synchronization in Networks of Compartmental Systems. [Internet] [Masters thesis]. University of Toronto; 2014. [cited 2019 Jul 17]. Available from: http://hdl.handle.net/1807/68089.

Council of Science Editors:

Alekajbaf M. Robust Synchronization in Networks of Compartmental Systems. [Masters Thesis]. University of Toronto; 2014. Available from: http://hdl.handle.net/1807/68089


Brno University of Technology

3. Gryga, Michal. Silná vazba v plazmonických strukturách .

Degree: 2018, Brno University of Technology

Tato diplomová práce ze zabývá numerickými simulacemi optické odezvy infračervených plazmonických antén na křemíkovém substrátu s tenkou vrstvou oxidu křemičitého a následným prokládáním rozptylových spekter modelem vázaných oscilátorů. V rámci práce je zkoumán vliv délky zlaté antény a tloušťky oxidu křemičitého na sílu vazby mezi plazmony vybuzenými v anténě a fonony v oxidu křemičitém.; This diploma thesis deals with numerical simulations of the optical response of plasmonic infrared antennas placed on silicon substrates with thin film of silicon dioxide and subsequently with fitting of scattering spectra by model of coupled harmonic oscillators. In this work, we study an influence of length of antennas on the strength of coupling of localized surface plasmons in the antennas with phonons in silicon dioxide film. Also, the influence of silicon dioxide film thickness on this coupling is investigated. Advisors/Committee Members: Šikola, Tomáš (advisor).

Subjects/Keywords: FDTD; rezonanční plazmonické antény; silná vazba; model vázaných harmonických oscilátorů; FDTD; plasmonic resonant antennas; strong coupling; model of coupled harmonic oscillators

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

APA (6th Edition):

Gryga, M. (2018). Silná vazba v plazmonických strukturách . (Thesis). Brno University of Technology. Retrieved from http://hdl.handle.net/11012/83336

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gryga, Michal. “Silná vazba v plazmonických strukturách .” 2018. Thesis, Brno University of Technology. Accessed July 17, 2019. http://hdl.handle.net/11012/83336.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gryga, Michal. “Silná vazba v plazmonických strukturách .” 2018. Web. 17 Jul 2019.

Vancouver:

Gryga M. Silná vazba v plazmonických strukturách . [Internet] [Thesis]. Brno University of Technology; 2018. [cited 2019 Jul 17]. Available from: http://hdl.handle.net/11012/83336.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gryga M. Silná vazba v plazmonických strukturách . [Thesis]. Brno University of Technology; 2018. Available from: http://hdl.handle.net/11012/83336

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.