Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Atomic, Molecular and Optical Physics (3)
- Applied Mathematics (2)
- Computer Sciences (2)
- Condensed Matter Physics (2)
- Numerical Analysis and Scientific Computing (2)
-
- Analysis (1)
- Curriculum and Instruction (1)
- Data Science (1)
- Education (1)
- Graphics and Human Computer Interfaces (1)
- Mathematics (1)
- Number Theory (1)
- Numerical Analysis and Computation (1)
- Other Applied Mathematics (1)
- Other Computer Sciences (1)
- Other Mathematics (1)
- Partial Differential Equations (1)
- Probability (1)
- Statistics and Probability (1)
- Institution
- Keyword
-
- Atomtronics (2)
- Bose–Einstein condensate (2)
- Amplitude Encoding (1)
- Atom circuit (1)
- Bose-Einstein Condensate (1)
-
- Bose-Einstein condensate (1)
- Causal sets (1)
- Complex analysis (1)
- Electromagnetically Induced Transparency (1)
- General relativity (1)
- Gravitational Constant (1)
- Lagrangian Variational Method (1)
- Mathematical physics (1)
- Number theory (1)
- Quantum Computing (1)
- Quantum Information (1)
- Quantum Machine Learning (1)
- Quantum gravity (1)
- Quantum theory Study and teaching (1)
- Ramanujan (1)
- Renormalization (1)
- Renormalization group (1)
- Rotation Sensor (1)
- Smooth flow (1)
- State Preparation (1)
Articles 1 - 11 of 11
Full-Text Articles in Quantum Physics
Electromagnetically Induced Transparency In An Ensemble Of Three-Level Lambda Systems, Sara Moezzi
Electromagnetically Induced Transparency In An Ensemble Of Three-Level Lambda Systems, Sara Moezzi
Electronic Theses and Dissertations
Electromagnetically induced transparency (EIT) is a technique whereby a medium otherwise opaque to radiation of a particular frequency can be made transparent at that frequency by applying radiation of an appropriate second frequency. EIT demonstrates numerous current applications, with a notable focus on its utilization within the field of quantum information. Given the absence of an established theory of EIT in atomic ensembles, my primary focus is to develop theoretical models that describe both the quantum mechanical origin of EIT as well as the effect of interatomic interactions. In this thesis, I present two theoretical models of EIT in an …
Ring Bose–Einstein Condensate Atomtronic Rotation Sensor, Oluwatobi I. Adeniji
Ring Bose–Einstein Condensate Atomtronic Rotation Sensor, Oluwatobi I. Adeniji
Electronic Theses and Dissertations
We propose a design for an atomtronic rotation sensor consisting of an array of Bose– Einstein condensates (BECs) confined in a double–target–array potential. The purpose of the sensor is to measure the rotation speed, ΩR, of the sensor’s rest frame with respect to the “fixed stars.” The atomtronic system consists of an ultracold gas of sodium atoms compressed, using laser light, into a thin horizontal sheet and subjected to a double–target– array potential within the horizontal plane. A “target” BEC consists of a disk–shaped condensate surrounded by a concentric ring–shaped condensate. A “double–target” BEC is two adjacent target …
Zeta Function Regularization And Its Relationship To Number Theory, Stephen Wang
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 …
Dynamics For Discretized Gravity In The Causal Set Approach, Benjamin Pilgrim
Dynamics For Discretized Gravity In The Causal Set Approach, Benjamin Pilgrim
Electronic Theses and Dissertations
Causal set theory is an approach to quantum gravity which replaces the continuous spacetime manifold with a discrete set of points and a partial order. In this work, I will focus on causal sets embeddable in two-dimensional manifolds, and define an action based on chains which in the continuum limit replicates the Einstein-Hilbert action; furthermore, I will propose a variational principle based on this action and numerically show it can distinguish nonflat manifoldlike causal sets from the most common type of nonmanifoldlike causal sets. I will then supplement this action with a boundary term similar to the Gibbons-Hawking-York boundary term …
Exploring Information For Quantum Machine Learning Models, Michael Telahun
Exploring Information For Quantum Machine Learning Models, Michael Telahun
Electronic Theses and Dissertations
Quantum computing performs calculations by using physical phenomena and quantum mechanics principles to solve problems. This form of computation theoretically has been shown to provide speed ups to some problems of modern-day processing. With much anticipation the utilization of quantum phenomena in the field of Machine Learning has become apparent. The work here develops models from two software frameworks: TensorFlow Quantum (TFQ) and PennyLane for machine learning purposes. Both developed models utilize an information encoding technique amplitude encoding for preparation of states in a quantum learning model. This thesis explores both the capacity for amplitude encoding to provide enriched state …
Quantized Circulation In Racetrack Atomtronic Circuits At Non-Zero Temperature, Benjamin R. Eller
Quantized Circulation In Racetrack Atomtronic Circuits At Non-Zero Temperature, Benjamin R. Eller
Electronic Theses and Dissertations
We extend previous theoretical investigations of the creation of quantized circulation states by stirring Bose-Einstein condensates (BEC) confined in ``racetrack" potentials. The previous study, {\em Producing Smooth Flow in Atom Circuits by Stirring}, used the Gross-Pitaevskii equation (GPE), which is valid at $T=0$ K. Here we use a non-zero temperature model based on the Zaremba, Nikuni, Griffin (ZNG) theory to simulate stirring racetrack BECs. The two main goals of this thesis are 1) to understand the effects of temperature on the production of circulation and 2) to understand the mechanism by which the circulation is excited. We find that it …
Mathematical Foundations Of Adaptive Quantum Processing, Daniel Bonior
Mathematical Foundations Of Adaptive Quantum Processing, Daniel Bonior
Electronic Theses and Dissertations
Quantum information has the potential to revolutionize the way we store, process, transfer and acquire information [1,14,15,21,37]. In particular, quantum information offers exciting new approaches to secure communication, computation and sensing. However, in order to realize such technologies, we must first understand the effect that environmental noise has on a quantum system. This dissertation builds upon recent studies that have explored the underlying structure of quantum information and the effects of qubit channels in quantum communication protocols. This work is divided into five main chapters, with Chapter 1 being a brief introduction to quantum information. We then begin Chapter 2 …
Producing Smooth Flow In Atom Circuits By Stirring, Olatunde Oladehin
Producing Smooth Flow In Atom Circuits By Stirring, Olatunde Oladehin
Electronic Theses and Dissertations
We studied how smooth flow can be produced by stirring an ultracold atom circuit consisting of a gaseous Bose--Einstein condensate (BEC) confined in a ``racetrack'' potential. The racetrack potential was made up of two straight parallel channels of length L connected on both ends by semicircular channels of the same width and (energy) depth as the straightaways. We used the Gross--Pitaevskii equation to simulate the behavior of the BEC in this potential when stirred by a rectangular paddle at various speeds and barrier heights. We found that smooth flow could be produced and conducted a systematic study of the flow …
Stereographic Visualization Of Bose-Einstein Condensate Clouds To Measure The Gravitational Constant, Ed Wesley Wells
Stereographic Visualization Of Bose-Einstein Condensate Clouds To Measure The Gravitational Constant, Ed Wesley Wells
Electronic Theses and Dissertations
This thesis describes a set of tools that can be used for the rapid design of atom interferometer schemes suitable for measuring Newton's Universal Gravitation constant also known as "Big G". This tool set is especially applicable to Bose--Einstein--condensed systems present in NASA's Cold Atom Laboratory experiment to be deployed to the International Space Station in 2017. These tools include a method of approximating the solutions of the nonlinear Schrödinger or Gross--Pitaevskii equation (GPE) using the Lagrangian Variational Method. They also include a set of software tools for translating the approximate solutions of the GPE into images of the optical …
Investigating How Students Think About And Learn Quantum Physics: An Example From Tunneling, Jeffrey Todd Morgan
Investigating How Students Think About And Learn Quantum Physics: An Example From Tunneling, Jeffrey Todd Morgan
Electronic Theses and Dissertations
Much of physics education research (PER) has focused on introductory courses and topics, with less research done into how students learn physics in advanced courses. Members of The University of Maine Physics Education Research Laboratory (PERL) have begun studying how students in advanced physics courses reason about classical mechanics, thermal physics, and quantum physics. Here, we describe an investigation into how students reason about quantum mechanical tunneling, and detail how those findings informed a portion of a curriculum development project. Quantum mechanical tunneling is a standard topic discussed in most modern physics and quantum physics courses. Understanding tunneling is crucial …
Renormalization-Group Studies Of Three Model Systems Far From Equilibrium, Ivan T. Georgiev
Renormalization-Group Studies Of Three Model Systems Far From Equilibrium, Ivan T. Georgiev
Electronic Theses and Dissertations
This thesis describes the development of analytical and computational techniques for systems far from equilibrium and their application to three model systems. Each of the model systems reaches a non-equilibrium steady state and exhibits one or more phase transitions. We first introduce a new position-space renormalization-group approach and illustrate its application using the one-dimensional fully asymmetric exclusion process. We have constructed a recursion relation for the relevant dynamic parameters for this model and have reproduced all of the important critical features of the model, including the exact positions of the critical point and the first and second order phase boundaries. …