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University of Colorado
1.
Harlow, Jennifer Wightman.
Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator.
Degree: PhD, Physics, 2013, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/77
► In the past several years, the field of optomechanics has progressed from proof-of-principle experiments to the realization of mechanical oscillators and measurements in the…
(more)
▼ In the past several years, the field of optomechanics has progressed from proof-of-principle experiments to the realization of mechanical oscillators and measurements in the quantum regime. Mechanical oscillators are of great interest because they can have small dissipation rates, can couple to many different systems of interest, and are the fundamental elements of ultrasensitive force detectors. Coupling these mechanical oscillators to microwave or optical fields provides a twofold advantage. Firstly, information about mechanical position can be encoded in the interrogating field, enabling sensitive readout of the mechanical oscillator. Secondly, the radiation pressure force of that field can be used to control the state of the mechanical oscillator. Including a high-quality microwave or optical cavity enhances both of these effects, as the field strength is resonantly increased.
The major questions in the field of optomechanics in the last several years have dealt with using mechanical oscillators for ultrasensitive measurements and as tools for quantum information. Both of these goals have the prerequisite that we be able to read out the motion of the mechanical oscillator in a quantum efficient manner. To that end, we developed a nearly shot-noise limited microwave interferometer capable of measuring mechanical motion with an imprecision below that at the standard quantum limit. This achievement is not only a critical improvement for the electromechanical experiments we do, but is also an important tool for any experiment that encodes the information of interest in microwave fields. In order to use mechanical oscillators as tools for quantum information, the mechanical oscillator must also be cooled into the quantum regime and fully controllable by the interrogating fields. To this end, we used the radiation pressure of microwave fields to cool our macroscopic mechanical oscillator to less than one phonon. We also demonstrated coherent transfer between itinerant microwave states and the mechanical oscillator, even for incident fields with less than one photon of energy.
These accomplishments have set the foundation for further experiments to extend the quantum information abilities of optomechanical systems, couple diverse quantum systems via a mechanical intermediary, and potentially explore the foundations of quantum mechanics at macroscopic scales.
Advisors/Committee Members: Konrad W. Lehnert, Cindy A. Regal, Michael A. Hermele, James K. Thompson, Scott Bunch.
Subjects/Keywords: Electromechanics; Optomechanics; Quantum Measurement; Physics
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APA (6th Edition):
Harlow, J. W. (2013). Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/77
Chicago Manual of Style (16th Edition):
Harlow, Jennifer Wightman. “Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator.” 2013. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/77.
MLA Handbook (7th Edition):
Harlow, Jennifer Wightman. “Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator.” 2013. Web. 24 Jan 2021.
Vancouver:
Harlow JW. Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/77.
Council of Science Editors:
Harlow JW. Microwave Electromechanics: Measuring and Manipulating the Quantum State of a Macroscopic Mechanical Oscillator. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/phys_gradetds/77

University of Colorado
2.
Makotyn, Philip.
Experimental Studies of a Degenerate Unitary Bose Gas.
Degree: PhD, Physics, 2014, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/103
► A dilute Bose-Einstein condensate (BEC) near a Feshbach resonance provides experimental physics with a clean and controllable system to investigate strongly interacting many-body systems.…
(more)
▼ A dilute Bose-Einstein condensate (BEC) near a Feshbach resonance provides experimental physics with a clean and controllable system to investigate strongly interacting many-body systems. The ability to tune the scattering length allows BECs to be projected onto strong interactions from an initial weakly interacting state. However, historically, studying a bulk 3D strongly interacting BEC has been diffcult, as these systems are inherently unstable due to three-body inelastic collisions. Thus, 2D, 1D, lattice confined, and two component Fermi gases were used to explore the strong interactions in an ultracold gas. In this thesis, I present the first measurement of a strongly interacting 3D
85Rb BEC. I introduce our experimental system and the techniques we used to probe the BEC. I first report on probes of a BEC in the weakly interacting regime. To probe a spherical
85Rb BEC with strong interactions we implemented a novel experimental technique that allowed us to quickly change the interactions, bypassing inelastic losses. We projected the BEC onto unitarity, where the scattering length diverges and the interactions are infinite, in order to observe dynamics and the unexpectedly long lifetime of the gas. Additionally, we observe a universality of the gas with respect to the length scale set by the interparticle spacing.
Advisors/Committee Members: Deborah S. Jin, Eric A. Cornell, Cindy A. Regal, David G. Meyer, Leo Radzihovsky.
Subjects/Keywords: Bose-Einstein condensate; many-body systems; ultracold gas; strong interactions; Atomic, Molecular and Optical Physics
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APA (6th Edition):
Makotyn, P. (2014). Experimental Studies of a Degenerate Unitary Bose Gas. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/103
Chicago Manual of Style (16th Edition):
Makotyn, Philip. “Experimental Studies of a Degenerate Unitary Bose Gas.” 2014. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/103.
MLA Handbook (7th Edition):
Makotyn, Philip. “Experimental Studies of a Degenerate Unitary Bose Gas.” 2014. Web. 24 Jan 2021.
Vancouver:
Makotyn P. Experimental Studies of a Degenerate Unitary Bose Gas. [Internet] [Doctoral dissertation]. University of Colorado; 2014. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/103.
Council of Science Editors:
Makotyn P. Experimental Studies of a Degenerate Unitary Bose Gas. [Doctoral Dissertation]. University of Colorado; 2014. Available from: https://scholar.colorado.edu/phys_gradetds/103

University of Colorado
3.
Lester, Brian James.
Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays.
Degree: PhD, Physics, 2016, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/189
► In this thesis, I describe early experiments with a new platform that harnesses control over the full quantum state of individual 87Rb atoms to…
(more)
▼ In this thesis, I describe early experiments with a new platform that harnesses control over the full quantum state of individual
87Rb atoms to study out-of-equilibrium states of a few atoms placed in tailored optical potentials. We employ an enhanced loading technique that fills each well in 90% of loading attempts, image the configuration of the atoms, and then perform Raman sideband cooling that results in a 90% three-dimensional ground state fraction. Then, after initializing the spin of each atom, we can reconfigure the traps to initialize dynamics in a final optical potential of interest. For example, we can form a double well potential and observe the quantum interference of two atoms tunneling between the wells. Additionally, we have demonstrated the ability to coherently transfer atoms between wells and, by preparing two atoms in opposite spin states, have observed spin-exchange oscillations that periodically entangle the two atoms. I will also discuss plans and ongoing work to combine these capabilities with new techniques to gain more information from systems containing more atoms. In such systems, we wish to study how the spin-motional coupling of independently prepared atoms, in the presence of interactions, will lead to complex dynamics, such as in the Kondo lattice model.
Advisors/Committee Members: Cindy A. Regal, Ana M. Rey, Emanuel H. Knill, Dana Z. Anderson, Robert R. McLeod.
Subjects/Keywords: Quantum gas; single atom; optical tweezers; Kondo; Atomic, Molecular and Optical Physics; Physics; Quantum Physics
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APA (6th Edition):
Lester, B. J. (2016). Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/189
Chicago Manual of Style (16th Edition):
Lester, Brian James. “Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays.” 2016. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/189.
MLA Handbook (7th Edition):
Lester, Brian James. “Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays.” 2016. Web. 24 Jan 2021.
Vancouver:
Lester BJ. Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays. [Internet] [Doctoral dissertation]. University of Colorado; 2016. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/189.
Council of Science Editors:
Lester BJ. Atom-By-Atom Control and Readout for Studying Spin-Motional Dynamics and Entanglement in Neutral Atom Arrays. [Doctoral Dissertation]. University of Colorado; 2016. Available from: https://scholar.colorado.edu/phys_gradetds/189

University of Colorado
4.
Reed, Adam P.
Converting Quantum Information to Mechanical Motion.
Degree: PhD, 2017, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/200
► Mechanical systems that combine motion and electricity are often used to process information. They are employed as compact clocks, filters, and sensors in almost…
(more)
▼ Mechanical systems that combine motion and electricity are often used to process information. They are employed as compact clocks, filters, and sensors in almost all modern electronic devices. Yet these devices are limited to processing classical information. To exploit mechanical systems in emerging quantum communication and computation technologies, such systems must process fragile quantum bits of information. In this thesis, I experimentally demonstrate the conversion of quantum bits encoded in electrical signals to the motion of a micron-scale mechanical resonator. This capability is crucial for harnessing mechanical systems as memories for quantum signals, or as converters of information between electronic quantum processors and telecommunications light. Beyond quantum information processing, this work opens up the possibility to test quantum theory in objects of an unprecedented mass scale.
Advisors/Committee Members: Konrad W. Lehnert, John D. Teufel, Cindy A. Regal, Dave J. Wineland, Zoya Popovich.
Subjects/Keywords: harmonic oscillators; qubits; electromechanical device; photon; Atomic, Molecular and Optical Physics; Nanotechnology; Quantum Physics
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APA ·
Chicago ·
MLA ·
Vancouver ·
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APA (6th Edition):
Reed, A. P. (2017). Converting Quantum Information to Mechanical Motion. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/200
Chicago Manual of Style (16th Edition):
Reed, Adam P. “Converting Quantum Information to Mechanical Motion.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/200.
MLA Handbook (7th Edition):
Reed, Adam P. “Converting Quantum Information to Mechanical Motion.” 2017. Web. 24 Jan 2021.
Vancouver:
Reed AP. Converting Quantum Information to Mechanical Motion. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/200.
Council of Science Editors:
Reed AP. Converting Quantum Information to Mechanical Motion. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/phys_gradetds/200

University of Colorado
5.
Kravtsov, Vasily.
Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale.
Degree: PhD, 2017, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/225
► Optical properties of many materials and macroscopic systems are defined by ultrafast dynamics of electronic, vibrational, and spin excitations localized on the nanoscale. Harnessing…
(more)
▼ Optical properties of many materials and macroscopic systems are defined by ultrafast dynamics of electronic, vibrational, and spin excitations localized on the nanoscale. Harnessing these excitations for material engineering, optical computing, and control of chemical reactions has been a long-standing goal in science and technology. However, it is challenging due to the lack of spectroscopic techniques that can resolve processes simultaneously on the nanometer spatial and femtosecond temporal scales. This thesis describes the fundamental principles, implementation, and experimental demonstration of a novel type of ultrafast microscopy based on the concept of adiabatic plasmonic nanofocusing. Simultaneous spatio-temporal resolution on a nanometer-femtosecond scale is achieved by using a near-field nonlinear optical response induced by ultrafast surface plasmon polaritons nanofocused on a metal tip. First, we study the surface plasmon response in metallic structures and evaluate its prospects and limitations for ultrafast near-field microscopy. Through plasmon emission-based spectroscopy, we investigate dephasing times and interplay between radiative and non-radiative decay rates of localized plasmons and their modification due to coupling. We identify a new regime of quantum plasmonic coupling, which limits the achievable spatial resolution to several angstroms but at the same time provides a potential channel for generating ultrafast electron currents at optical frequencies. Next, we study propagation of femtosecond wavepackets of surface plasmon polaritons on a metal tip. In time-domain interferometric measurements we detect group delays that correspond to slowing of the plasmon polaritons down to 20% of the speed of light at the tip apex. This provides direct experimental verification of the plasmonic nanofocusing mechanism and suggests enhanced nonlinear optical interactions at the tip apex. We then measure a plasmon-generated third-order nonlinear optical four-wave mixing response from the tip apex and investigate its microscopic mechanism. Our results reveal a significant contribution to the third order nonlinearity of plasmonic structures due to large near-field gradients associated with nanofocused plasmons. In combination with scanning probe imaging and femtosecond pulse shaping, the nanofocused four-wave mixing response provides a basis for a novel type of ultrafast optical microscopy on the nanoscale. We demonstrate its capabilities by nano-imaging the coherent dynamics of localized plasmonic modes in a rough gold film edge with simultaneous sub-50 nm spatial and sub-5 fs temporal resolution. We capture the coherent decay and extract the dephasing times of individual plasmonic modes. Lastly, we apply our technique to study nanoscale spatial heterogeneity of the nonlinear optical response in novel two-dimensional materials: monolayer and few-layer graphene. An enhanced four-wave mixing signal is revealed on the edges of graphene flakes. We investigate the mechanism of this…
Advisors/Committee Members: Markus B. Raschke, Cindy A. Regal, Ana Maria Rey, Xiaobo Yin, Wounjhang Park.
Subjects/Keywords: nanofocusing; microscopy; plasmon; Condensed Matter Physics; Nanoscience and Nanotechnology; Optics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kravtsov, V. (2017). Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/225
Chicago Manual of Style (16th Edition):
Kravtsov, Vasily. “Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale.” 2017. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/225.
MLA Handbook (7th Edition):
Kravtsov, Vasily. “Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale.” 2017. Web. 24 Jan 2021.
Vancouver:
Kravtsov V. Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale. [Internet] [Doctoral dissertation]. University of Colorado; 2017. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/225.
Council of Science Editors:
Kravtsov V. Coherent Femtosecond Spectroscopy and Nonlinear Optical Imaging on the Nanoscale. [Doctoral Dissertation]. University of Colorado; 2017. Available from: https://scholar.colorado.edu/phys_gradetds/225

University of Colorado
6.
Kaufman, Adam M.
Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange.
Degree: PhD, Physics, 2015, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/140
► In this thesis, I describe the development of and scientific results from a new platform for creating ultracold atoms via single-atom control. We employ…
(more)
▼ In this thesis, I describe the development of and scientific results from a new platform for creating ultracold atoms via single-atom control. We employ Raman-sideband cooling to isolated bosonic
87Rb atoms confined within sub-micron optical tweezers, yielding single particle three- dimensional ground-state fractions of 90%. We create multiple, independent, mobile optical tweezers, which simultaneously allows multi-particle studies with single-atom microscopy and highly tunable length-scales. We employ this toolset in both of the main experiments discussed in this thesis. In one experiment, we observe Hong-Ou-Mandel interference of two bosonic atoms, each of which is independently prepared in spatially separated optical tweezers. The interference we observe is a direct consequence of the purity of the single particle quantum states produced, and the indistinguishability of the atoms. In a second experiment, we introduce a spin-degree of freedom and exploit spin-exchange dynamics, driven by the quantum-statistics of the particles, to create a spin-entangled pair of spatially separated atoms.
Advisors/Committee Members: Cindy A. Regal, Ana Maria Rey, Deborah S. Jin, David J. Wineland, Juan Restrepo.
Subjects/Keywords: Laser cooling; Quantum control; Single atoms; ultracold atoms; Atomic, Molecular and Optical Physics; Quantum Physics
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APA ·
Chicago ·
MLA ·
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APA (6th Edition):
Kaufman, A. M. (2015). Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/140
Chicago Manual of Style (16th Edition):
Kaufman, Adam M. “Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange.” 2015. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/140.
MLA Handbook (7th Edition):
Kaufman, Adam M. “Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange.” 2015. Web. 24 Jan 2021.
Vancouver:
Kaufman AM. Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/140.
Council of Science Editors:
Kaufman AM. Laser-Cooling Atoms to Indistinguishability: Atomic Hong-Ou-Mandel Interference and Entanglement Through Spin-Exchange. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/phys_gradetds/140

University of Colorado
7.
Weiner, Joshua Matthew.
Synchronization and Sensing with Steady State Superradiance and Spin Squeezing.
Degree: PhD, Physics, 2015, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/141
► Utilizing controllable collective light-atom interactions, I explore the properties of large ensembles of cold Rb-87 atoms interacting with an optical cavity. The interactions are…
(more)
▼ Utilizing controllable collective light-atom interactions, I explore the properties of large ensembles of cold Rb-87 atoms interacting with an optical cavity. The interactions are used to produce collective light emission and to generate entangled atomic states.
In one set of experiments, I demonstrate a unique atomic magnetometer based on superradiant Raman lasing transitions between hyperfine ground states. This sensor can operate in a continuous broadband mode or a discrete narrowband mode based on the evolution of the atomic coherence in the dark. I also discuss the fundamental sensitivity of this type of detector. In a second set of experiments, I present studies of the synchronization mechanism between two ensembles undergoing steady state superradiance within the same optical cavity. I explore the behavior of the two oscillators in response to the introduction of controllable phase errors between them in both transient and steady state experiments. This work may stimulate future studies of quantum phase transitions in open quantum systems.
Finally, I discuss progress in another related experimental direction: cavity-aided non-demolition measurements of the collective atomic spin state of an ensemble of atoms. The coherence-preserving collective measurements presented may one day have the capacity to reduce the impact of quantum noise in state-of-the-art precision measurements like clocks and acceleration sensors based on atoms. By upgrading our apparatus, we expect to significantly improve on our previous factor of 10 improvement over the standard quantum limit on quantum phase estimation for unentangled atoms.
Advisors/Committee Members: James K. Thompson, Murray J. Holland, Cindy A. Regal, Dana Z. Anderson, Juan G. Restrepo.
Subjects/Keywords: cavity QED; magnetometry; squeezing; superradiance; synchronization; Atomic, Molecular and Optical Physics; Optics; Quantum Physics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
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APA (6th Edition):
Weiner, J. M. (2015). Synchronization and Sensing with Steady State Superradiance and Spin Squeezing. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/141
Chicago Manual of Style (16th Edition):
Weiner, Joshua Matthew. “Synchronization and Sensing with Steady State Superradiance and Spin Squeezing.” 2015. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/141.
MLA Handbook (7th Edition):
Weiner, Joshua Matthew. “Synchronization and Sensing with Steady State Superradiance and Spin Squeezing.” 2015. Web. 24 Jan 2021.
Vancouver:
Weiner JM. Synchronization and Sensing with Steady State Superradiance and Spin Squeezing. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/141.
Council of Science Editors:
Weiner JM. Synchronization and Sensing with Steady State Superradiance and Spin Squeezing. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/phys_gradetds/141

University of Colorado
8.
Andrews, Reed W.
Quantum Signal Processing with Mechanical Oscillators.
Degree: PhD, Physics, 2015, University of Colorado
URL: https://scholar.colorado.edu/phys_gradetds/143
► This thesis experimentally demonstrates how macroscopic mechanical oscillators can be used to process and manipulate electromagnetic signals, i.e. light. Light shined upon an object…
(more)
▼ This thesis experimentally demonstrates how macroscopic mechanical oscillators can be used to process and manipulate electromagnetic signals, i.e. light. Light shined upon an object can cause it to move or, as in the case of a mechanical oscillator, vibrate. This interaction allows light to be converted between vastly different frequencies, and provides an opportunity to manipulate the time and frequency content of electromagnetic signals. The following chapters describe the construction and measurement of systems that use electromagnetic resonators and highly tensioned membranes as mechanical oscillators to manipulate electromagnetic signals with high efficiency and extremely low added noise. These results show that mechanical oscillators can bring needed signal processing capabilities to quantum information networks, where they can be used to connect separate, physically distant, and otherwise mismatched cQED systems.
Advisors/Committee Members: Konrad W. Lehnert, Cindy A. Regal, Murray J. Holland, Ana Maria Rey, Xiaobo Yin.
Subjects/Keywords: frequency conversion; mechanical oscillator; membrane; signal processing; Engineering Physics; Quantum Physics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Andrews, R. W. (2015). Quantum Signal Processing with Mechanical Oscillators. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/phys_gradetds/143
Chicago Manual of Style (16th Edition):
Andrews, Reed W. “Quantum Signal Processing with Mechanical Oscillators.” 2015. Doctoral Dissertation, University of Colorado. Accessed January 24, 2021.
https://scholar.colorado.edu/phys_gradetds/143.
MLA Handbook (7th Edition):
Andrews, Reed W. “Quantum Signal Processing with Mechanical Oscillators.” 2015. Web. 24 Jan 2021.
Vancouver:
Andrews RW. Quantum Signal Processing with Mechanical Oscillators. [Internet] [Doctoral dissertation]. University of Colorado; 2015. [cited 2021 Jan 24].
Available from: https://scholar.colorado.edu/phys_gradetds/143.
Council of Science Editors:
Andrews RW. Quantum Signal Processing with Mechanical Oscillators. [Doctoral Dissertation]. University of Colorado; 2015. Available from: https://scholar.colorado.edu/phys_gradetds/143
.