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Modeling The Effects Of Inertial Forces On Bose Einstein Condensates In Rotating Frames Of Reference
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Book Synopsis Modeling the Effects of Inertial Forces on Bose-Einstein Condensates in Rotating Frames of Reference by :
Download or read book Modeling the Effects of Inertial Forces on Bose-Einstein Condensates in Rotating Frames of Reference written by and published by . This book was released on 2015 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, I model the effects of inertial forces on the dynamics of weaklyinteracting dilute atomic gas Bose-Einstein condensates (BECs) in rotating frames of reference through the use of numerical simulations. The dynamics of BECs are modeled here in the mean-field limit of the time-dependent Gross-Pitaevskii equation (GPE). When the GPE is considered in a rotating frame of reference, the inertial forces acting on a BEC manifest themselves as an effective coupling between the angular momentum of the condensate itself and the angular velocity vector that defines the rotational motion of the reference frame. Using a method-of-lines implementation of a generalized 4th-order Runge-Kutta method with finite differences to numerically approximate solutions of the GPE, I study how this effective coupling of the inertial forces to the condensate arise in practice by simulating the dynamics of BECs in three quantum-mechanical analogues of classical rotating systems. These systems are (1) a Foucault pendulum-like harmonic oscillator, (2) a mechanical gyroscope, and (3) a Compton generator. When possible, the observed dynamics of the condensates are compared via the Ehrenfest theorem to the dynamics predicted for the corresponding classical system. In general, I find that the observed dynamics for each of these systems agrees quite well with their classical counterparts. However, in a few cases, there appears to be some unaccounted for internal dynamics of the BECs that is not well-explained by the classical equations of motion. But further study will be required to elucidate the source of these possible discrepancies. In addition to simulating the quantum analogues of these classical rotating systems, I also extend some of my earlier work on the interference of matter waves in a Sagnac interferometer. In particular, I extend this work to consider how the observed Sagnac phase shift accumulates in time when the wave packets propagate within an “off-axis” ring potential that orbits the centre of rotation in the system. Here, once again, I find that the accumulation of the Sagnac phase shift may occur in discrete phase jumps under certain conditions. This unexpected behavior in the time-dependence of the Sagnac phase shift is ascribed to the initial angular momentum the wave packets acquire starting at rest with respect to the interferometer’s uniformly rotating ring potential, which prevents the center of mass between the wave packets from drifting linearly about the ring.
Book Synopsis Bose–Einstein Condensation in Dilute Gases by : C. J. Pethick
Download or read book Bose–Einstein Condensation in Dilute Gases written by C. J. Pethick and published by Cambridge University Press. This book was released on 2008-09-11 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.
Book Synopsis Vortices in Bose-Einstein Condensates by : Amandine Aftalion
Download or read book Vortices in Bose-Einstein Condensates written by Amandine Aftalion and published by Springer Science & Business Media. This book was released on 2007-10-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. It is the only up-to-date clinically oriented textbook available on this subject. The book is structured in a format that is easy to follow, clinically relevant and evidence based. The author has a special interest in the application of ultrasound in the study of cardiac structure and function.
Book Synopsis Classical and Quantum Dynamics of Rydberg Electrons and Bose-Einstein Condensates in Rotating Frames by : Andrea Brunello
Download or read book Classical and Quantum Dynamics of Rydberg Electrons and Bose-Einstein Condensates in Rotating Frames written by Andrea Brunello and published by . This book was released on 1997 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling the Expansion and Collapse of Bose-Einstein Condensates by : Lydia Ann Shannon
Download or read book Modeling the Expansion and Collapse of Bose-Einstein Condensates written by Lydia Ann Shannon and published by . This book was released on 2014 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Primer on Quantum Fluids by : Carlo F. Barenghi
Download or read book A Primer on Quantum Fluids written by Carlo F. Barenghi and published by Springer. This book was released on 2016-08-10 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this primer is to cover the essential theoretical information, quickly and concisely, in order to enable senior undergraduate and beginning graduate students to tackle projects in topical research areas of quantum fluids, for example, solitons, vortices and collective modes. The selection of the material, both regarding the content and level of presentation, draws on the authors analysis of the success of relevant research projects with newcomers to the field, as well as of the students feedback from many taught and self-study courses on the subject matter. Starting with a brief historical overview, this text covers particle statistics, weakly interacting condensates and their dynamics and finally superfluid helium and quantum turbulence. At the end of each chapter (apart from the first) there are some exercises. Detailed solutions can be made available to instructors upon request to the authors.
Book Synopsis Special & General Relativity (Concise Edition) by : Albert Einstein
Download or read book Special & General Relativity (Concise Edition) written by Albert Einstein and published by Simon and Schuster. This book was released on 2024-04-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's pioneering work helped shape the cultural landscape of the world today. Now in a digestible, pocket format for the modern reader. A new, popular edition with a clear introduction, Special & General Relativity by Albert Einstein contains his core paper, 'Relativity, The Special & The General Theory: A Popular Exposition', which established his reputation as one of the greatest thinkers of our (and perhaps any) age. Also included are two of the Princeton University lectures he gave to explain his findings in more detail, on 'The Meaning of Relativity', as well as the early paper which led to his famous equation E = mc2. The FLAME TREE Foundations series features core publications which together have shaped the cultural landscape of the modern world, with cutting-edge research distilled into pocket guides designed to be both accessible and informative.
Author :Claudia Moreno González Publisher :Springer Science & Business Media ISBN 13 :3319020633 Total Pages :223 pages Book Rating :4.3/5 (19 download)
Book Synopsis Accelerated Cosmic Expansion by : Claudia Moreno González
Download or read book Accelerated Cosmic Expansion written by Claudia Moreno González and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings from the 2012 Fourth International Meeting on Gravitation and Cosmology, focusing on accelerated cosmic expansion This volume provides both an update and a review of the state of alternative theories of gravity in connection with the accelerated expansion of the universe issue. Different theoretical proposals exist to explain the acceleration in the cosmic expansion, generating the dark energy issue and opening the possibility to theories of gravity alternative to general relativity. Related issues such as the dark matter problem are also surveyed in order to give the readers profound insight on the subject from different points of view. Comprised of short talks and plenary lectures given by leading experts in the field, some of them with brilliant and historic contributions, the book allows the reader to find readable and referenced surveys in topics like f(R) theories, the dark matter and dark energy issues, Modified Newtonian Dynamics (MOND) scenarios, f(T) theories, scalar-tensor theories derived from non-Riemannian geometries, emergent universes, the cosmological constant and other topics of current interest for younger and senior physicists and graduate students. These proceedings are from the Fourth International Meeting on Gravitation and Cosmology, held in Guadalajara, Jalisco, México, from 20 - 25 May, 2012, was sponsored by ICTP- Trieste, Italy and COECyTJAL-Universidad de Guadalajara, México. This event is a series of scientific meetings started in 2004 in Cuba, focusing on current and selected topics in the fields of gravitation and cosmology.
Book Synopsis Analogue Gravity Phenomenology by : Daniele Faccio
Download or read book Analogue Gravity Phenomenology written by Daniele Faccio and published by Springer. This book was released on 2013-08-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analogue Gravity Phenomenology is a collection of contributions that cover a vast range of areas in physics, ranging from surface wave propagation in fluids to nonlinear optics. The underlying common aspect of all these topics, and hence the main focus and perspective from which they are explained here, is the attempt to develop analogue models for gravitational systems. The original and main motivation of the field is the verification and study of Hawking radiation from a horizon: the enabling feature is the possibility to generate horizons in the laboratory with a wide range of physical systems that involve a flow of one kind or another. The years around 2010 and onwards witnessed a sudden surge of experimental activity in this expanding field of research. However, building an expertise in analogue gravity requires the researcher to be equipped with a rather broad range of knowledge and interests. The aim of this book is to bring the reader up to date with the latest developments and provide the basic background required in order to appreciate the goals, difficulties, and success stories in the field of analogue gravity. Each chapter of the book treats a different topic explained in detail by the major experts for each specific discipline. The first chapters give an overview of black hole spacetimes and Hawking radiation before moving on to describe the large variety of analogue spacetimes that have been proposed and are currently under investigation. This introductory part is then followed by an in-depth description of what are currently the three most promising analogue spacetime settings, namely surface waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. Both theory and experimental endeavours are explained in detail. The final chapters refer to other aspects of analogue gravity beyond the study of Hawking radiation, such as Lorentz invariance violations and Brownian motion in curved spacetimes, before concluding with a return to the origins of the field and a description of the available observational evidence for horizons in astrophysical black holes.
Book Synopsis Rotating Relativistic Stars by : John L. Friedman
Download or read book Rotating Relativistic Stars written by John L. Friedman and published by Cambridge University Press. This book was released on 2013-02-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The masses of neutron stars are limited by an instability to gravitational collapse and an instability driven by gravitational waves limits their spin. Their oscillations are relevant to x-ray observations of accreting binaries and to gravitational wave observations of neutron stars formed during the coalescence of double neutron-star systems. This volume includes more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics and astronomy with the first self-contained treatment of the structure, stability and oscillations of rotating neutron stars. This monograph treats the equations of stellar equilibrium; key approximations, including slow rotation and perturbations of spherical and rotating stars; stability theory and its applications, from convective stability to the r-mode instability; and numerical methods for computing equilibrium configurations and the nonlinear evolution of their oscillations. The presentation of fundamental equations, results and applications is accessible to readers who do not need the detailed derivations.
Book Synopsis Quantised Vortices by : Tapio Simula
Download or read book Quantised Vortices written by Tapio Simula and published by Morgan & Claypool Publishers. This book was released on 2019-08-05 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vortices comprising swirling motion of matter are observable in classical systems at all scales ranging from atomic size to the scale of galaxies. In quantum mechanical systems, such vortices are robust entities whose behaviours are governed by the strict rules of topology. The physics of quantum vortices is pivotal to basic science of quantum turbulence and high temperature superconductors, and underpins emerging quantum technologies including topological quantum computation. This handbook is aimed at providing a dictionary style portal to the fascinating quantum world of vortices.
Book Synopsis Artificial Black Holes by : Mario Novello
Download or read book Artificial Black Holes written by Mario Novello and published by World Scientific. This book was released on 2002-10-04 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.
Book Synopsis Generation and Applications of Extra-Terrestrial Environments on Earth by : Daniel A. Beysens
Download or read book Generation and Applications of Extra-Terrestrial Environments on Earth written by Daniel A. Beysens and published by CRC Press. This book was released on 2022-09-01 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been prepared under the auspice of the European Low Gravity Research Association (ELGRA). The main task of ELGRA is to foster the scientific community in Europe and beyond in conducting gravity and space-related research.This publication is dedicated to the science community, and especially to the next generation of scientists and engineers interested in space research and in the means to use Earth to reproduce the space environment. ELGRA provides a comprehensive description of space conditions and the means that have been developed on Earth to perform space environmental and (micro-) gravity related research. .The book covers ground-based research instruments and environments for both life and physical sciences research. It discusses the opportunities and limitations of protocols and instruments to compensate gravity or simulate microgravity, such as clinostats, random positioning machines, levitating magnets, electric fields, vibrations, tail suspension or head down tilt, as well as centrifuges for hyper-g studies. Other space environmental conditions are addressed too, like cosmic radiation or Mars atmospheric and soil properties to be replicated and simulated on Earth. Future long duration of manned missions, personal well-being and crew interaction are major issues dealt with.
Book Synopsis Collected Papers of Carl Wieman by : Carl E. Wieman
Download or read book Collected Papers of Carl Wieman written by Carl E. Wieman and published by World Scientific. This book was released on 2008 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carl Wieman's contributions have had a major impact on defining the field of atomic physics as it exists today. His ground-breaking research has included precision laser spectroscopy; using lasers and atoms to provide important table-top tests of theories of elementary particle physics; the development of techniques to cool and trap atoms using laser light, particularly in inventing much simpler, less expensive ways to do this; the understanding of how atoms interact with one another and light at ultracold temperatures; and the creation of the first Bose-Einstein condensation in a dilute gas, and the study of the properties of this condensate. In recent years, he has also turned his attention to physics education and new methods and research in that area. This indispensable volume presents his collected papers, with annotations from the author, tracing his fascinating research path and providing valuable insight about the significance of the works.
Book Synopsis Fundamentals of High Accuracy Inertial Navigation by : Averil Burton Chatfield
Download or read book Fundamentals of High Accuracy Inertial Navigation written by Averil Burton Chatfield and published by AIAA. This book was released on 1997 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Atom Optics written by Tim Byrnes and published by Cambridge University Press. This book was released on 2021-08-05 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapid development of quantum technologies has driven a revolution in related research areas such as quantum computation and communication, and quantum materials. The first prototypes of functional quantum devices are beginning to appear, frequently created using ensembles of atoms, which allow the observation of sensitive, quantum effects, and have important applications in quantum simulation and matter wave interferometry. This modern text offers a self-contained introduction to the fundamentals of quantum atom optics and atomic many-body matter wave systems. Assuming a familiarity with undergraduate quantum mechanics, this book will be accessible for graduate students and early career researchers moving into this important new field. A detailed description of the underlying theory of quantum atom optics is given, before development of the key, quantum, technological applications, such as atom interferometry, quantum simulation, quantum metrology, and quantum computing.
Book Synopsis Gauge/Gravity Duality by : Martin Ammon
Download or read book Gauge/Gravity Duality written by Martin Ammon and published by Cambridge University Press. This book was released on 2015-04-09 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.
