A New Method To Generate Superoscillating Functions And Supershifts, 2021 Chapman University

#### A New Method To Generate Superoscillating Functions And Supershifts, Yakir Aharonov, Fabrizio Colombo, Irene Sabadini, Tomer Shushi, Daniele C. Struppa, Jeff Tollaksen

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

Superoscillations are band-limited functions that can oscillate faster than their fastest Fourier component. These functions (or sequences) appear in weak values in quantum mechanics and in many fields of science and technology such as optics, signal processing and antenna theory. In this paper, we introduce a new method to generate superoscillatory functions that allows us to construct explicitly a very large class of superoscillatory functions.

Partial Measurements Of Quantum Systems, 2021 Washington University in St. Louis

#### Partial Measurements Of Quantum Systems, Jonathan Tyler Monroe

*Arts & Sciences Electronic Theses and Dissertations*

Projective measurement is a commonly used assumption in quantum mechanics. However, advances in quantum measurement techniques allow for partial measurements, which accurately estimate state information while keeping the wavefunction intact. We employ partial measurements to study two phenomena. First, we investigate an uncertainty relation—in the style of Heisenberg’s 1929 thought experiment—which includes partial measurements in addition to projective measurements. We find that a weak partial measurement can decrease the uncertainty between two incompatible (non-commuting) observables. In the second study, we investigate the foundation of irreversible dynamics resulting from partial measurements. We do so by comparing the forward and time-reversed probabilities …

Realization Of Bsu First Magneto-Optical Trap For The Spatial Confinement Of Rb Atoms Using Next Generation Fiber Optic Capabilities With Minimot, 2021 Bridgewater State University

#### Realization Of Bsu First Magneto-Optical Trap For The Spatial Confinement Of Rb Atoms Using Next Generation Fiber Optic Capabilities With Minimot, Brahmin Thurber-Carbone

*Honors Program Theses and Projects*

This paper will be a combination of my theoretical and experimental work toward Bridgewater State Universities first Magneto-Optical Trap (MOT) for laser cooling and trapping of neutral atoms in order to study fundamental quantum mechanical behavior of Rubidium (Rb) atoms. The goal of the theoretical aspect is to complete details of well-established works on how the complicated quantum, atomic, and electromagnetic (laser) interactions required to understand the design and operation of the MOT reduce to the physics and mathematics of a damped oscillator. This is made explicitly clear using familiar damped oscillator systems, such as a spring/mass/damping or pendulum/mass/damping (ie …

Model Of Electromagnetic Waves In An Axion-Induced Parity Symmetry Violation, 2021 Macalester College

#### Model Of Electromagnetic Waves In An Axion-Induced Parity Symmetry Violation, Sarah Lipstone

*Macalester Journal of Physics and Astronomy*

Axion particles have been postulated to resolve the strong CP problem in Quantum chromodynamics. The axion field may double as the inflaton field that produces cosmic inflation. In this project, we use a combination of analytical and numerical analysis to study how axion-induced parity symmetry violation affects the dynamics of electromagnetic waves.

Non-Gaussian Measurements Of Coherent States Of Light For Metrology And Communication, 2021 University of New Mexico

#### Non-Gaussian Measurements Of Coherent States Of Light For Metrology And Communication, Matthew Dimario

*Physics & Astronomy ETDs*

Conventional measurement technology is unable to extract the most amount of information possible from coherent states of light. Non-Gaussian measurements which can count individual photons can surpass the sensitivity limits of ideal conventional strategies, and approach the ultimate limits achievable given by quantum mechanics. This thesis presents investigations and demonstrations of these unconventional measurements, which utilize coherent operations and single photon counting. This thesis shows that non-Gaussian measurements can outperform conventional strategies in estimation tasks as well as a variety of communication problems. This thesis also investigates novel approaches and algorithms for building robustness to static and dynamic noise which …

Curved Spacetime In The Causal Set Approach To Quantum Gravity, 2021 University of Mississippi

#### Curved Spacetime In The Causal Set Approach To Quantum Gravity, Ayush Dhital

*Honors Theses*

Causal Set theory is an approach to quantum gravity. In this approach, the spacetime continuum is assumed to be discrete rather than continuous. The discrete points in a causal set can be seen as a continuum spacetime if they can be embedded in a manifold such that the causal structure is preserved. In this regard, a manifold can be constructed by embedding a causal set preserving causal information between the neighboring points. In this thesis, some of the fundamental properties of causal sets are discussed and the curvature and dimension information of Minkowski, de Sitter, and Anti-de Sitter spaces is …

Zeta Function Regularization And Its Relationship To Number Theory, 2021 East Tennessee State University

#### Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang

*Electronic Theses and Dissertations*

While the "path integral" formulation of quantum mechanics is both highly intuitive and far reaching, the path integrals themselves often fail to converge in the usual sense. Richard Feynman developed regularization as a solution, such that regularized path integrals could be calculated and analyzed within a strictly physics context. Over the past 50 years, mathematicians and physicists have retroactively introduced schemes for achieving mathematical rigor in the study and application of regularized path integrals. One such scheme was introduced in 2007 by the mathematicians Klaus Kirsten and Paul Loya. In this thesis, we reproduce the Kirsten and Loya approach to …

Designing Cryogenic Strain Device For 2d Materials, 2021 University of Arkansas, Fayetteville

#### Designing Cryogenic Strain Device For 2d Materials, Jake Carter

*Mechanical Engineering Undergraduate Honors Theses*

The Churchill lab working within the Physics Department at the University of Arkansas is working to create important quantum states including weak topological insulators (TIs) through the use of symmetry engineering and topological electronic states in two-dimensional (2D) crystals of WHM materials. Experimental results of these topological states have been obstructed due to the difficulty to perform controlled in situ strain. This project strives to create a mount to utilize a piezoelectric nanopositioner within cryostats achieving an in situ strain that creates the quantum states the lab is looking to observe. This report also examines the necessary equations to determine …

Quantum Dynamical Phenomena In Non-Hermitian And Magnomechanical Systems, 2021 University of Arkansas, Fayetteville

#### Quantum Dynamical Phenomena In Non-Hermitian And Magnomechanical Systems, Saeid Vashahri Ghamsari

*Graduate Theses and Dissertations*

In this dissertation, we have investigated quantum dynamics via three case studies. First, we studied a system of two coupled waveguides respectively carrying optical damping and optical gain in addition to squeezing elements in one or both waveguides. Such a system is expected to generate highly entangled light fields in the two waveguides. We, however, show that the degree of the created entanglement is significantly affected by the quantum noises associated with the amplification and dissipation. Because of the noise effect, one can only have nonzero entanglement for a limited time interval. Second, we generalized the first project by considering …

Characterization And Benchmarking Of Quantum Computers, 2021 University of Tennessee, Knoxville

#### Characterization And Benchmarking Of Quantum Computers, Megan L. Dahlhauser

*Doctoral Dissertations*

Quantum computers are a promising technology expected to provide substantial speedups to important computational problems, but modern quantum devices are imperfect and prone to noise. In order to program and debug quantum computers as well as monitor progress towards more advanced devices, we must characterize their dynamics and benchmark their performance. Characterization methods vary in measured quantities and computational requirements, and their accuracy in describing arbitrary quantum devices in an arbitrary context is not guaranteed. The leading techniques for characterization are based on fine-grain physical models that are typically accurate but computationally expensive. This raises the question of how to …

Exploring Manifoldlike Causal Sets And Their Dimensions, 2021 University of Mississippi

#### Exploring Manifoldlike Causal Sets And Their Dimensions, Santosh Bhandari

*Honors Theses*

Causal Set Theory is an approach to quantum gravity that tries to replace the continuum spacetime structure of general relativity with the spacetime that has the property of discreteness and causality. From the standpoint of causal set theory, our spacetime is made up of discrete points that are causally related to one another. A causal set is said to be manifoldlike if it can be faithfully embedded in a Lorentzian manifold. In this thesis, some of the fundamental properties of causal sets are discussed. The first chapter is devoted to the historical background of quantum gravity with a discussion of …

Enhanced Nonlinear Interaction Of Polaritons Via Excitonic Rydberg States In Monolayer Wse2, 2021 CUNY City College

#### Enhanced Nonlinear Interaction Of Polaritons Via Excitonic Rydberg States In Monolayer Wse2, Jie Gu, Valentin Walther, Lutz Waldecker, Daniel Rhodes, Archana Raja, James C. Hone, Tony F. Heinz, Stéphane Kéna-Cohen, Thomas Pohl, Vinod M. Menon

*Publications and Research*

Strong optical nonlinearities play a central role in realizing quantum photonic technologies. Exciton-polaritons, which result from the hybridization of material excitations and cavity photons, are an attractive candidate to realize such nonlinearities. While the interaction between ground state excitons generates a notable optical nonlinearity, the strength of such interactions is generally not sufficient to reach the regime of quantum nonlinear optics. Excited states, however, feature enhanced interactions and therefore hold promise for accessing the quantum domain of single-photon nonlinearities. Here we demonstrate the formation of exciton-polaritons using excited excitonic states in monolayer tungsten diselenide (WSe_{2}) embedded in a …

Implications Of The Quantum Dna Model For Information Sciences, 2021 University of Tennessee Health Science Center

#### Implications Of The Quantum Dna Model For Information Sciences, F. Matthew Mihelic

*Faculty Publications*

The DNA molecule can be modeled as a quantum logic processor, and this model has been supported by pilot research that experimentally demonstrated non-local communication between cells in separated cell cultures. This modeling and pilot research have important implications for information sciences, providing a potential architecture for quantum computing that operates at room temperature and is scalable to millions of qubits, and including the potential for an entanglement communication system based upon the quantum DNA architecture. Such a system could be used to provide non-local quantum key distribution that could not be blocked by any shielding or water depth, would …

Magnetic Vector Potential Manipulation Of Majorana Fermions In Dna Quantum Logic, 2021 University of Tennessee Health Science Center

#### Magnetic Vector Potential Manipulation Of Majorana Fermions In Dna Quantum Logic, F. Matthew Mihelic

*Faculty Publications*

In the quantum logic of the DNA molecule, electrons are held and conducted coherently as spinless Cooper pairs and are shielded from electromagnetic energy by a Faraday cage effect of the double lipid bilayer of the nuclear membrane. The magnetic vector potential generated by cellular depolarization can synchronize logical activity in portions of the DNA molecule by affecting spin directions of appropriately oriented spinless electrons via the Aharonov-Bohm effect, but is not blocked by that Faraday cage effect. Within the logically and thermodynamically reversible chiral enantiomeric symmetry of the deoxyribose moieties the decoherent transition of Cooper pair to Dirac pair …

Spectator Proton Detection And Reconstruction In Deep Inelastic D(E,EpS) Scattering, 2021 Old Dominion University

#### Spectator Proton Detection And Reconstruction In Deep Inelastic D(E,EpS) Scattering, David Payette

*Physics Theses & Dissertations*

A Radial Time Projection Chamber (RTPC) was designed and installed in Jefferson Lab's Hall B as part of the BONuS12 (Barely Off-shell Nucleon Structure) experiment. The goal of BONuS12 is to accurately measure the structure function of the neutron by scattering 11 GeV electrons and detecting them with the CLAS12 spectrometer. Deuterium gas was used as an effective neutron target, and the new RTPC was used to detect low- momentum spectator protons. Protons follow a curved path in the 5 Tesla solenoid that is part of CLAS12, ionizing the He-CO2 gas in an annular drift region surrounding the target. These …

Exploring Qcd Factorization At Moderate Energy Scales, 2021 Old Dominion University

#### Exploring Qcd Factorization At Moderate Energy Scales, Eric Alan Moffat

*Physics Theses & Dissertations*

Asymptotic freedom in QCD facilitates the use of partonic degrees of freedom over short distances, but physical processes are sensitive to a wide range of scales. Thus, it is necessary in QCD calculations to utilize a factorization scheme to separate a process into perturbative and non-perturbative factors. This separation relies on an assumption that one energy scale is infinitely larger than the other scales involved in the process. However, much experimental research in areas such as nucleon structure and quark-hadron duality occur at more moderate energy scales where that basic assumption may not be true but perturbative calculations should still …

Optomechanical Quantum Entanglement, 2021 Louisiana State University and Agricultural and Mechanical College

#### Optomechanical Quantum Entanglement, Kahlil Y. Dixon

*LSU Doctoral Dissertations*

As classical technology approaches its limits, exploration of quantum technologies is critical. Quantum optics will be the basis of various cutting-edge research and applications in quantum technology. In particular, quantum optics quite efficacious when applied to quantum networks and the quantum internet. Quantum Optomechanics, a subfield of quantum optics, contains some novel methods for entanglement generation. These entanglement production methods exploit the noise re-encoding process, which is most often associated with creating unwanted phase noise in optical circuits. Using the adapted two-photon formalism and experimental results, we simulate (in an experimentally viable parameter space) optomechanical entanglement generation experiments. These simulations …

Energy-Constrained Distinguishability Measures For Assessing Performance In Quantum Information Processing, 2021 Louisiana State University at Baton Rouge

#### Energy-Constrained Distinguishability Measures For Assessing Performance In Quantum Information Processing, Kunal Sharma

*LSU Doctoral Dissertations*

The aim of this thesis is to develop a framework for assessing performance in quantum information processing with continuous variables. In particular, we focus on quantifying the fundamental limitations on communication and computation over bosonic Gaussian systems. Due to their infinite-dimensional structure, we make a realistic assumption of energy constraints on the input states of continuous-variable (CV) quantum operations. Our first contribution is to show that energy-constrained distinguishability measures can be used to establish tight upper bounds on the communication capacities of phase-insensitive, bosonic Gaussian channels -- thermal, amplifier, and additive-noise channels. We then prove that an optimal Gaussian input …

Failed Attempt To Escape From The Quantum Pigeon Conundrum, 2021 Chapman University

#### Failed Attempt To Escape From The Quantum Pigeon Conundrum, Yakir Aharonov, Shrobona Bagchi, Justin Dressel, Gregory Reznik, Michael Ridley, Lev Vaidman

*Mathematics, Physics, and Computer Science Faculty Articles and Research*

A recent criticism by Kunstatter et al. [Phys. Lett. A 384, 126686 (2020)] of a quantum setup violating the pigeon counting principle [Aharonov et al. PNAS 113, 532 (2016)] is refuted. The quantum nature of the violation of the pigeonhole principle with pre- and postselection is clarified.

Applications Of Quantum Optics: From The Quantum Internet To Analogue Gravity, 2021 Louisiana State University and Agricultural and Mechanical College

#### Applications Of Quantum Optics: From The Quantum Internet To Analogue Gravity, Anthony Brady

*LSU Doctoral Dissertations*

The aim of this thesis is to highlight applications of quantum optics in two very distinct fields: space-based quantum communication and the Hawking effect in analogue gravity. Regarding the former: We simulate and analyze a constellation of satellites, equipped with entangled photon-pair sources, which provide on-demand entanglement distribution ser- vices to terrestrial receiver stations. Satellite services are especially relevant for long-distance quantum-communication scenarios, as the loss in satellite-based schemes scales more favor- ably with distance than in optical fibers or in atmospheric links, though establishing quantum resources in the space-domain is expensive. We thus develop an optimization technique which balances …