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Dynamical Properties Of Bose Einstein Condensates
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Book Synopsis Dynamical Properties of Bose-Einstein Condensates by :
Download or read book Dynamical Properties of Bose-Einstein Condensates written by and published by . This book was released on 2012 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bose-Einstein condensates (BECs) provide a testbed for a wide array of coherent structures with complex dynamical properties. Of these structures, vortices and two-component BECs are at the forefront in understanding fundamental properties of BECs and have been under intense scrutiny in both experiments and theoretical studies. The behavior of these structures elucidates the mechanics of nonlinear processes that give rise to patterns in vortex lattices and patterns in binary BECs. This has lead to the integration of BECs into the new field of emergent phenomena that has unified many seemingly unrelated disciplines because at a fundamental level, the nonlinear processes provide a blueprint to give rise to coherence out of randomness. First, we study the interactions between two atomic species in a binary BEC to determine conditions for miscibility, oscillations between species, steady state solutions and their stability. Second, the two component system is extended to a quasi-2D systems for a pancake-shaped condensate. Third, the shape of the background atomic density as well as the background with a vortex is studied to determine the role of the phase and background on the precession of a vortex. Lastly, the dynamics of small clusters of same charge vortices in a trapped BEC is studied giving fixed point configurations that rotate at a constant speed.
Book Synopsis Dynamic Properties of Dilute Bose-Einstein Condensates by : Dallin Shane Durfee
Download or read book Dynamic Properties of Dilute Bose-Einstein Condensates written by Dallin Shane Durfee and published by . This book was released on 1999 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bose-Einstein Condensation in Dilute Gases by : Christopher Pethick
Download or read book Bose-Einstein Condensation in Dilute Gases written by Christopher Pethick and published by . This book was released on 2014-05-14 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to ultracold atomic Bose and Fermi gases for advanced undergraduates, graduates, experimentalists and theorists.
Author :Panayotis G. Kevrekidis Publisher :Springer Science & Business Media ISBN 13 :3540735917 Total Pages :398 pages Book Rating :4.5/5 (47 download)
Book Synopsis Emergent Nonlinear Phenomena in Bose-Einstein Condensates by : Panayotis G. Kevrekidis
Download or read book Emergent Nonlinear Phenomena in Bose-Einstein Condensates written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.
Book Synopsis Bose-Einstein Condensation by : Lev. P. Pitaevskii
Download or read book Bose-Einstein Condensation written by Lev. P. Pitaevskii and published by Oxford University Press. This book was released on 2003-04-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bose-Einstein Condensation represents a new state of matter and is one of the cornerstones of quantum physics, resulting in the 2001 Nobel Prize. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest to a growing community of physicists, and is easily accessible to non-specialists alike.
Book Synopsis Universal Themes of Bose-Einstein Condensation by : Nick P. Proukakis
Download or read book Universal Themes of Bose-Einstein Condensation written by Nick P. Proukakis and published by Cambridge University Press. This book was released on 2017-04-27 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.
Book Synopsis Nonlinear Dynamics and Shock Structures in Elongated Bose-Einstein Condensates by : Maren Elizabeth Mossman
Download or read book Nonlinear Dynamics and Shock Structures in Elongated Bose-Einstein Condensates written by Maren Elizabeth Mossman and published by . This book was released on 2019 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dilute gas Bose-Einstein condensates are ultracold quantum gases that display many peculiar hydrodynamic properties, such as superfluidity, i.e. dissipation-less flow, a variety of solitonic textures and quantized vortex structures. Small amplitude excitations within a Bose-Einstein condensate are described by the Bogoliubov dispersion, and have been extensively studied in the past. This dissertation extends previous studies by focusing on strong, nonlinear excitations and shock structures generated in elongated Rb-87 Bose-Einstein condensates, elucidating novel dynamics in these quantum systems.This dissertation is separated into two major parts. In the first part, the building and characterization of a new Bose-Einstein condensate apparatus at Washington State University is described. This apparatus has been built to generate ultracold clouds of Rb-87 and, more recently, K-41atoms. A description of the setups for both isotopes are provided. The apparatus reliably produces Bose-Einstein condensates of 7 x 105 Rb-87 atoms every 20 seconds.In the second part of this dissertation, three experiments in a channel geometry are described that have been conducted with the new apparatus. In this part of the dissertation, quantum hydrodynamic properties are probed by using time-dependent optical potentials to generate nonlinear excitations and shock structures in an elongated Bose-Einstein condensate. An emergence of viscous-like shock dynamics, unidirectionality of a non-magnetic spin switch device, and the structure of dispersive shock waves in new types of higher order dispersions are observed. The work described in this dissertation establishes a novel platform for studying strong nonlinear effects in ultracold quantum gases.
Book Synopsis Many-Body Schrödinger Dynamics of Bose-Einstein Condensates by : Kaspar Sakmann
Download or read book Many-Body Schrödinger Dynamics of Bose-Einstein Condensates written by Kaspar Sakmann and published by Springer Science & Business Media. This book was released on 2011-08-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: At extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate. Recently, it has become clear that many different types of condensates -- so called fragmented condensates -- exist. In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schrödinger equation, a task that remained elusive for experimentally relevant conditions for many years. In this thesis the first numerically exact solutions of the time-dependent many-body Schrödinger equation for a bosonic Josephson junction are provided and compared to the approximate Gross-Pitaevskii and Bose-Hubbard theories. It is thereby shown that the dynamics of Bose-Einstein condensates is far more intricate than one would anticipate based on these approximations. A special conceptual innovation in this thesis are optimal lattice models. It is shown how all quantum lattice models of condensed matter physics that are based on Wannier functions, e.g. the Bose/Fermi Hubbard model, can be optimized variationally. This leads to exciting new physics.
Book Synopsis Bright Solitary Waves and Non-equilibrium Dynamics in Atomic Bose-Einstein Condensates by : Thomas Paul Billam
Download or read book Bright Solitary Waves and Non-equilibrium Dynamics in Atomic Bose-Einstein Condensates written by Thomas Paul Billam and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we investigate the static properties and non-equilibrium dynamics of bright solitary waves in atomic Bose-Einstein condensates in the zero-temperature limit, and we investigate the non-equilibrium dynamics of a driven atomic Bose-Einstein condensate at finite temperature. Bright solitary waves in atomic Bose-Einstein condensates are non-dispersive and soliton-like matter-waves which could be used in future atom-interferometry experiments. Using the mean-field, Gross-Pitaevskii description, we propose an experimental scheme to generate pairs of bright solitary waves with controlled velocity and relative phase; this scheme could form an important part of a future atom interferometer, and we demonstrate that it can also be used to test the validity of the mean-field model of bright solitary waves. We also develop a method to quantitatively assess how soliton-like static, three-dimensional bright solitary waves are; this assessment is particularly relevant for the design of future experiments. In reality, the non-zero temperatures and highly non-equilibrium dynamics occurring in a bright solitary wave interferometer are likely to necessitate a theoretical description which explicitly accounts for the non-condensate fraction. We show that a second-order, number-conserving description offers a minimal self-consistent treatment of the relevant condensate -- non-condensate interactions at low temperatures and for moderate non-condensate fractions. We develop a method to obtain a fully-dynamical numerical solution to the integro-differential equations of motion of this description, and solve these equations for a driven, quasi-one-dimensional test system. We show that rapid non-condensate growth predicted by lower-order descriptions, and associated with linear dynamical instabilities, can be damped by the self-consistent treatment of interactions included in the second-order description.
Book Synopsis Non-equilibrium Dynamics of a Bose-Einstein Condensate in an Optical Lattice by : Uttam Man Shrestha
Download or read book Non-equilibrium Dynamics of a Bose-Einstein Condensate in an Optical Lattice written by Uttam Man Shrestha and published by . This book was released on 2009 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Universal Themes of Bose-Einstein Condensation by : Nick P. Proukakis
Download or read book Universal Themes of Bose-Einstein Condensation written by Nick P. Proukakis and published by Cambridge University Press. This book was released on 2017-04-27 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following an explosion of research on Bose–Einstein condensation (BEC) ignited by demonstration of the effect by 2001 Nobel prize winners Cornell, Wieman and Ketterle, this book surveys the field of BEC studies. Written by experts in the field, it focuses on Bose–Einstein condensation as a universal phenomenon, covering topics such as cold atoms, magnetic and optical condensates in solids, liquid helium and field theory. Summarising general theoretical concepts and the research to date - including novel experimental realisations in previously inaccessible systems and their theoretical interpretation - it is an excellent resource for researchers and students in theoretical and experimental physics who wish to learn of the general themes of BEC in different subfields.
Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.
Book Synopsis Bose-Condensed Gases at Finite Temperatures by : Allan Griffin
Download or read book Bose-Condensed Gases at Finite Temperatures written by Allan Griffin and published by Cambridge University Press. This book was released on 2009-02-19 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of Bose–Einstein condensation (BEC) in trapped ultracold atomic gases in 1995 has led to an explosion of theoretical and experimental research on the properties of Bose-condensed dilute gases. The first treatment of BEC at finite temperatures, this book presents a thorough account of the theory of two-component dynamics and nonequilibrium behaviour in superfluid Bose gases. It uses a simplified microscopic model to give a clear, explicit account of collective modes in both the collisionless and collision-dominated regions. Major topics such as kinetic equations, local equilibrium and two-fluid hydrodynamics are introduced at an elementary level. Explicit predictions are worked out and linked to experiments. Providing a platform for future experimental and theoretical studies on the finite temperature dynamics of trapped Bose gases, this book is ideal for researchers and graduate students in ultracold atom physics, atomic, molecular and optical physics and condensed matter physics.
Book Synopsis Bose-Einstein Condensates by : Paige E. Matthews
Download or read book Bose-Einstein Condensates written by Paige E. Matthews and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bose--Einstein condensate (BEC) is a state of matter of a dilute gas of weakly interacting bosons confined in an external potential and cooled to temperatures very near to absolute zero (0 K or -273.15 °C). Under such conditions, a large fraction of the bosons occupy the lowest quantum state of the external potential, at which point quantum effects become apparent on a macroscopic scale. This book gathers and presents research in this field including a new approach to Spinor Bose-Einstein condensates, elliptic vortices in self-attractive Bose-Einstein condensates and matter wave dark solitions in optical superlatices, as well as the mathematical description of the effective behavior of one-dimensional Bose-Einstein condensates with defects.
Book Synopsis Fundamentals And New Frontiers Of Bose-einstein Condensation by : Masahito Ueda
Download or read book Fundamentals And New Frontiers Of Bose-einstein Condensation written by Masahito Ueda and published by World Scientific Publishing Company. This book was released on 2010-07-29 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the fundamentals of and new developments in gaseous Bose-Einstein condensation. It begins with a review of fundamental concepts and theorems, and introduces basic theories describing Bose-Einstein condensation (BEC). It then discusses some recent topics such as fast-rotating BEC, spinor and dipolar BEC, low-dimensional BEC, balanced and imbalanced fermionic superfluidity including BCS-BEC crossover and unitary gas, and p-wave superfluidity.
Book Synopsis Reflection and Transmission of Matter Waves in Two-component Bose-Einstein Condensates by : Carlos Bravo Prieto
Download or read book Reflection and Transmission of Matter Waves in Two-component Bose-Einstein Condensates written by Carlos Bravo Prieto and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the dynamical properties of 1D solitary waves in confined immiscible mixtures of Bose-Einstein condensates with repulsive interparticle interactions. We perform numerical simulations of the coupled Gross-Pitaevskii equations for two-components harmonically trapped in presence of dark and grey solitons, and we study the reflection and transmission of this matter wave after the collision with the interphase between the two immiscible species. Our numerical results show different scenarios depending on the ratio between the interspecies and intraspecies strength interactions, where the immiscibility plays an important role in the dynamical behaviour of the matter wave.
Book Synopsis Dynamics of Vortices in Trapped Bose-Einstein Condensates by : Jong-kwan Kim
Download or read book Dynamics of Vortices in Trapped Bose-Einstein Condensates written by Jong-kwan Kim and published by . This book was released on 2005 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
