Properties Of The Schrödinger Theory Of Electrons In Electromagnetic Fields,
2016
CUNY Graduate Center and CUNY Brooklyn College
Properties Of The Schrödinger Theory Of Electrons In Electromagnetic Fields, Viraht Sahni, Xiao-Yin Pan
Publications and Research
The Schrödinger theory of electrons in an external electromagnetic field can be described from the perspective of the individual electron via the ‘Quantal Newtonian’ laws (or differential virial theorems). These laws are in terms of ‘classical’ fields whose sources are quantal expectations of Hermitian operators taken with respect to the wave function. The laws reveal the following physics: (a) In addition to the external field, each electron experiences an internal field whose components are representative of a specific property of the system such as the correlations due to the Pauli exclusion principle and Coulomb repulsion, the electron density, kinetic effects, …
Resonant Light Scattering From Semiconductor Quantum Dots,
2016
University of South Florida
Resonant Light Scattering From Semiconductor Quantum Dots, Kumarasiri Konthasinghe
USF Tampa Graduate Theses and Dissertations
In this work, resonant laser spectroscopy has been utilized in two major projects --resonance fluorescence measurements in solid-state quantum-confined nanostructures and laser-induced fluorescence measurements in gases. The first project focuses on studying resonant light-matter interactions in semiconductor quantum dots "artificial atoms" with potential applications in quantum information science. Of primary interest is the understanding of fundamental processes and how they are affected by the solid-state matrix. Unlike atoms, quantum dots are susceptible to a variety of environmental influences such as phonon scattering and spectral diffusion. These interactions alter the desired properties of the scattered light and hinder uses in certain …
Prospects For Infrared Quantum Gravity: From Cosmology To Black Holes,
2016
University of Massachusetts Amherst
Prospects For Infrared Quantum Gravity: From Cosmology To Black Holes, Basem K. Mahmoud El-Menoufi
Doctoral Dissertations
Although perturbatively non-renormalizable, general relativity is a perfectly valid quantum theory at low energies. Treated as an effective field theory one is able to make genuine quantum predictions by applying the conventional rules of quantum field theory. The low energy degrees of freedom and couplings of quantum gravity are fully dictated by the symmetries of general relativity. To realize the full EFT treatment one has to supplement the theory with experimental input necessary to fix the Wilson coefficients of the most general Lagrangian. In spite of the fact that this is not feasible, one can still extract the leading quantum …
Neutron Correlations In The Decay Of The First Excited State Of 11li,
2016
Michigan State University
Neutron Correlations In The Decay Of The First Excited State Of 11li, Jenna K. Smith, Thomas J. Baumann, Daniel Bazin, James Brown, Paul A. Deyoung, Nathan H. Frank, Michael D. Jones, Zack Kohley, Bryan A. Luther, B. S. Marks, Artemis Spyrou, Sharon L. Stephenson, Michael R. Thoennessen, Alexander S. Volya
Physics and Astronomy Faculty Publications
The decay of unbound excited 11Li was measured after being populated by a two-proton removal from a 13B beam at 71 MeV/nucleon. Decay energy spectra and Jacobi plots were obtained from measurements of the momentum vectors of the 9Li fragment and neutrons. A resonance at an excitation energy of ∼1.2 MeV was observed. The kinematics of the decay are equally well fit by a simple dineutron-like model or a phase-space model that includes final state interactions. A sequential decay model can be excluded.
Art As A Tool In Quantum Mechanics,
2016
Oglethopre University
Art As A Tool In Quantum Mechanics, Zachary Vealey
Oglethorpe Journal of Undergraduate Research
Revolutions in scientific thought often have substantial societal consequences, however, cultural assimilation of the new idea is contingent on a widespread understanding. Historically recent developments in modern physics, such as quantum mechanics and general relativity, suffer from their notoriously perceived difficulty, thus hindering cultural assimilation. To address this issue, art can serve as a useful complement to a student studying quantum mechanics - especially through its interpretation of delocalized electron density. A cross-disciplinary approach affords a greater diversity in participation and consequently results in a broader scientific outreach.
Some 2-Categorical Aspects In Physics,
2016
The Graduate Center, City University of New York
Some 2-Categorical Aspects In Physics, Arthur Parzygnat
Dissertations, Theses, and Capstone Projects
2-categories provide a useful transition point between ordinary category theory and infinity-category theory where one can perform concrete computations for applications in physics and at the same time provide rigorous formalism for mathematical structures appearing in physics. We survey three such broad instances. First, we describe two-dimensional algebra as a means of constructing non-abelian parallel transport along surfaces which can be used to describe strings charged under non-abelian gauge groups in string theory. Second, we formalize the notion of convex and cone categories, provide a preliminary categorical definition of entropy, and exhibit several examples. Thirdly, we provide a universal description …
Local Spin Operators For Fermion Simulations,
2016
Dartmouth College
Local Spin Operators For Fermion Simulations, James D. Whitfield, Vojtěch Havlíček, Matthias Troyer
Dartmouth Scholarship
Digital quantum simulation of fermionic systems is important in the context of chemistry and physics. Simulating fermionic models on general purpose quantum computers requires imposing a fermionic algebra on qubits. The previously studied Jordan-Wigner and Bravyi-Kitaev transformations are two techniques for accomplishing this task. Here, we reexamine an auxiliary fermion construction which maps fermionic operators to local operators on qubits. The local simulation is performed by relaxing the requirement that the number of qubits should match the number of single-particle states. Instead, auxiliary sites are introduced to enable nonconsecutive fermionic couplings to be simulated with constant low-rank tensor products on …
Prioritizing Investment In Residential Energy Efficiency And Renewable Energy: A Case Study For The U.S. Midwest,
2016
University of Dayton
Prioritizing Investment In Residential Energy Efficiency And Renewable Energy: A Case Study For The U.S. Midwest, Robert J. Brecha, Austin Mitchell, Kevin P. Hallinan, J. Kelly Kissock
J. Kissock
Residential building energy use is an important contributor to greenhouse gas emissions and in the United States represents about 20% of total energy consumption. A number of previous macro-scale studies of residential energy consumption and energy-efficiency improvements are mainly concerned with national or international aggregate potential savings. In this paper we look into the details of how a collection of specific homes in one region might reduce energy consumption and carbon emissions, with particular attention given to some practical limits to what can be achieved by upgrading the existing residential building stock. Using a simple model of residential, single-family home …
Dicke’S Superradiance In Astrophysics,
2016
The University of Western Ontario
Dicke’S Superradiance In Astrophysics, Fereshteh Rajabi
Electronic Thesis and Dissertation Repository
It is generally assumed that in the interstellar medium much of the emission emanating from atomic and molecular transitions within a radiating gas happen independently for each atom or molecule, but as was pointed out by R. H. Dicke in a seminal paper several decades ago this assumption does not apply in all conditions. As will be discussed in this thesis, and following Dicke’s original analysis, closely packed atoms/molecules can interact with their common electromagnetic field and radiate coherently through an effect he named superradiance. Superradiance is a cooperative quantum mechanical phenomenon characterized by high intensity, spatially compact, burst-like features …
Realisation Of Qudits In Coupled Potential Wells,
2016
Tel Aviv University
Realisation Of Qudits In Coupled Potential Wells, Ariel Landau, Yakir Aharonov, Eliahu Cohen
Mathematics, Physics, and Computer Science Faculty Articles and Research
Quantum computation strongly relies on the realisation, manipulation and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general d-well analysis of qudits. These analyses are based on representations of the special unitary groups SU(d) which expose the systems' symmetry and employ them for performing computations. We …
The Quantum Universe: Philosophical Foundations And Oriental Medicine,
2016
Chapman University
The Quantum Universe: Philosophical Foundations And Oriental Medicine, Menas Kafatos, Keun-Hang Susan Yang
Mathematics, Physics, and Computer Science Faculty Articles and Research
The existence of universal principles in both science and medicine implies that one canexplore their common applicability. Here we explore what we have learned from quantummechanics, phenomena such as entanglement and nonlocality, the role of participationof the observer, and how these may apply to oriental medicine. The universal principles ofintegrated polarity, recursion, and creative interactivity apply to all levels of existence and allhuman activities, including healing and medicine. This review examines the possibility thatwhat we have learned from quantum mechanics may provide clues to better understandthe operational principles of oriental medicine in an integrated way. Common to both isthe assertion …
Electron Correlations In Local Effective Potential Theory,
2016
CUNY Graduate Center and CUNY Brooklyn College
Electron Correlations In Local Effective Potential Theory, Viraht Sahni, Xiao-Yin Pan, Tao Yang
Publications and Research
Local effective potential theory, both stationary-state and time-dependent, constitutes the mapping from a system of electrons in an external field to one of the noninteracting fermions possessing the same basic variable such as the density, thereby enabling the determination of the energy and other properties of the electronic system. This paper is a description via Quantal Density Functional Theory (QDFT) of the electron correlations that must be accounted for in such a mapping. It is proved through QDFT that independent of the form of external field, (a) it is possible to map to a model system possessing all the basic …
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking,
2016
University of Rochester
Quantum Enigma Machine: Experimentally Demonstrating Quantum Data Locking, Daniel J. Lum, John C. Howell, M. S. Allman, Thomas Gerrits, Varun B. Verma, Sae Woo Nam, Cosmo Lupo, Seth Lloyd
Mathematics, Physics, and Computer Science Faculty Articles and Research
Shannon proved in 1949 that information-theoretic-secure encryption is possible if the encryption key is used only once, is random, and is at least as long as the message itself. Notwithstanding, when information is encoded in a quantum system, the phenomenon of quantum data locking allows one to encrypt a message with a shorter key and still provide information-theoretic security. We present one of the first feasible experimental demonstrations of quantum data locking for direct communication and propose a scheme for a quantum enigma machine that encrypts 6 bits per photon (containing messages, new encryption keys, and forward error correction bits) …
Exact Solution Of Quadratic Fermionic Hamiltonians For Arbitrary Boundary Conditions,
2016
Dartmouth College
Exact Solution Of Quadratic Fermionic Hamiltonians For Arbitrary Boundary Conditions, Abhijeet Alase, Emilio Cobanera, Gerardo Ortiz, Lorenza Viola
Dartmouth Scholarship
We present a procedure for exactly diagonalizing finite-range quadratic fermionic Hamiltonians with arbitrary boundary conditions in one of D dimensions, and periodic in the remaining D−1. The key is a Hamiltonian-dependent separation of the bulk from the boundary. By combining information from the two, we identify a matrix function that fully characterizes the solutions, and may be used to construct an efficiently computable indicator of bulk-boundary correspondence. As an illustration, we show how our approach correctly describes the zero-energy Majorana modes of a time-reversal-invariant s-wave two-band superconductor in a Josephson ring configuration, and predicts that a fractional 4π-periodic Josephson effect …
Photonicstd-2d: Modeling Light Scattering In Periodic Multilayer Photonic Structures,
2016
North Carolina State University at Raleigh
Photonicstd-2d: Modeling Light Scattering In Periodic Multilayer Photonic Structures, Alexey Bondarev, Shaimaa Azzam, Zhaxylyk Kudyshev, Alexander V. Kildishev
The Summer Undergraduate Research Fellowship (SURF) Symposium
Efficient modeling of electromagnetic processes in optical and plasmonic metamaterials is important for enabling new and exciting ways to manipulate light for advanced applications. In this work, we put together a tool for numerical simulation of propagation of normally incident light through a nanostructured multilayer composite material. The user builds a unit cell of a given material layer-by-layer starting from a substrate up to a superstrate, splitting each layer further into segments. The segments are defined by width and material -- dielectric, metal or active medium. Simulations are performed with the finite difference time domain (FDTD) method. A database of …
Ultracold Quantum Scattering In The Presence Of Synthetic Spin-Orbit Coupling,
2016
Purdue University
Ultracold Quantum Scattering In The Presence Of Synthetic Spin-Orbit Coupling, Su-Ju Wang
Open Access Dissertations
Two-body scattering constitutes one of the most fundamental processes in various physical systems ranging from ultracold dilute quantum gases to energetic quark- gluon plasmas. In this dissertation, we study the low-energy atomic collision physics in the presence of synthetic gauge fields, which are generated by atom-light interaction. One category of synthetic gauge fields is the artificial spin-orbit coupling. We discuss three different aspects in scattering theory: ultracold collision, scattering resonance, and bound state formation from a few-body perspective when the atomic spin states are coupled with their center-of-mass motion. The understanding of the spin-orbit effects on the modification of the …
Measuring A Transmon Qubit In Circuit Qed: Dressed Squeezed States,
2016
University of California, Riverside
Measuring A Transmon Qubit In Circuit Qed: Dressed Squeezed States, Mostafa Khezri, Eric Mlinar, Justin Dressel, A. N. Korotkov
Mathematics, Physics, and Computer Science Faculty Articles and Research
Using circuit QED, we consider the measurement of a superconducting transmon qubit via a coupled microwave resonator. For ideally dispersive coupling, ringing up the resonator produces coherent states with frequencies matched to transmon energy states. Realistic coupling is not ideally dispersive, however, so transmon-resonator energy levels hybridize into joint eigenstate ladders of the Jaynes–Cummings type. Previous work has shown that ringing up the resonator approximately respects this ladder structure to produce a coherent state in the eigenbasis (a dressed coherent state). We numerically investigate the validity of this coherent-state approximation to find two primary deviations. First, resonator ring-up leaks small …
Morphological And Material Effects In Van Der Waals Interactions,
2016
University of Massachusetts Amherst
Morphological And Material Effects In Van Der Waals Interactions, Jaime C. Hopkins
Doctoral Dissertations
Van der Waals (vdW) interactions influence a variety of mesoscale phenomena, such as surface adhesion, friction, and colloid stability, and play increasingly important roles as science seeks to design systems on increasingly smaller length scales. Using the full Lifshitz continuum formulation, this thesis investigates the effects of system materials, shapes, and configurations and presents open-source software to accurately calculate vdW interactions. In the Lifshitz formulation, the microscopic composition of a material is represented by its bulk dielectric response. Small changes in a dielectric response can result in substantial variations in the strength of vdW interactions. However, the relationship between these …
Hadron Physics In Tests Of Fundamental Symmetries,
2016
University of Massachusetts Amherst
Hadron Physics In Tests Of Fundamental Symmetries, Chien Yeah Seng
Doctoral Dissertations
Low energy precision tests of fundamental symmetries provide excellent probes for the Beyond Standard Model Physics. Theoretical interpretations of these experiments often involve the application of non-perturbative Quantum Chromodynamics in the study of hadronic matrix elements that may either serve as signals of new physics or Standard Model backgrounds. In this work I present a series of studies on different hadronic matrix elements using various low-energy effective approaches to Quantum Chromodynamics, and discuss the impact of these studies on our knowledge of Standard Model and Beyond Standard Model physics.
Dynamical Decoupling Sequences For Multi-Qubit Dephasing Suppression And Long-Time Quantum Memory,
2016
Dartmouth College
Dynamical Decoupling Sequences For Multi-Qubit Dephasing Suppression And Long-Time Quantum Memory, Gerardo A. Paz-Silva, Seung-Woo Lee, Todd J. Green, Lorenza Viola
Dartmouth Scholarship
We consider a class of multi-qubit dephasing models that combine classical noise sources and linear coupling to a bosonic environment, and are controlled by arbitrary sequences of dynamical decoupling pulses. Building on a general transfer filter-function framework for open-loop control, we provide an exact representation of the controlled dynamics for arbitrary stationary non-Gaussian classical and quantum noise statistics, with analytical expressions emerging when all dephasing sources are Gaussian. This exact characterization is used to establish two main results. First, we construct multi-qubit sequences that ensure maximum high-order error suppression in both the time and frequency domain and that can be …
