Nonlinear Phenomena And Stripe Phases In Bose Einstein Condensates
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Author |
: Thomas Michael Bersano |
Publisher |
: |
Total Pages |
: 200 |
Release |
: 2019 |
ISBN-10 |
: OCLC:1163635790 |
ISBN-13 |
: |
Rating |
: 4/5 (90 Downloads) |
Synopsis Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates by : Thomas Michael Bersano
Dilute-gas Bose-Einstein condensates offer a versatile testbed for the investigation of quantum phenomena. On the mean-field level, these ultracold atomic systems are described by the Gross-Pitaevskii equation which captures the nonlinearities induced by particle interactions. The analytical simplicity of behavior in the linear regime, i.e. in the absence of interparticle interactions, allows for the study of novel particle dispersions, generation of solid-state analogues, and the construction of atom interferometers. Nonlinearities lead to the formation of additional features such as solitonic matter-waves and dispersion loops.The first two studies in this dissertation investigate strongly nonlinear phenomena in 87Rb Bose-Einstein condensates. The inherently nonlinear matter-wave structures known as solitons have been previously realized in one- and two-component systems, Here, that work is extended to three-component systems where two new species of soliton are observed. The second study considers the effects of interactions in optical lattice systems. Nonlinear behavior in an optical lattice is generally avoided, especially in atom interferometry applications. When nonlinear behavior dominates over the optical lattice potential a novel band loop appears in the lowest band of the dispersion. In this dissertation, Rabi oscillations and Bloch oscillations are observed in condensates in weak optical lattices and the resultant non-adiabatic behavior is discussed.In the final two studies, novel quantum phases are generated by combining spin-orbit (SO) coupling with a second coupling type. For instance, supplementing the SO-coupling with optical lattice assisted hopping between the minima of the SO-coupled dispersion leads to the generation of the SO-coupled stripe phase. This phase is closely related to a supersolid, an exotic state of matter which simultaneously possesses the properties of a superfluid and a crystalline solid. By instead adding a radio-frequency field that also couples two Zeeman sublevels, an emergent lattice is formed which can exhibit Galilean invariant Kapitza-Dirac scattering and Bloch oscillations. Both of these compound coupling schemes are discussed.
Author |
: Panayotis G. Kevrekidis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 398 |
Release |
: 2007-12-29 |
ISBN-10 |
: 9783540735915 |
ISBN-13 |
: 3540735917 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Emergent Nonlinear Phenomena in Bose-Einstein Condensates by : Panayotis G. Kevrekidis
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.
Author |
: Svi︠a︡toslav Anatolʹevich Moskalenko |
Publisher |
: Cambridge University Press |
Total Pages |
: 434 |
Release |
: 2000-02-28 |
ISBN-10 |
: 0521580994 |
ISBN-13 |
: 9780521580991 |
Rating |
: 4/5 (94 Downloads) |
Synopsis Bose-Einstein Condensation of Excitons and Biexcitons by : Svi︠a︡toslav Anatolʹevich Moskalenko
Bose-Einstein condensation of excitons is a unique effect in which the electronic states of a solid can self-organize to acquire quantum phase coherence. The phenomenon is closely linked to Bose-Einstein condensation in other systems such as liquid helium and laser-cooled atomic gases. This is the first book to provide a comprehensive survey of this field, covering theoretical aspects as well as recent experimental work. After setting out the relevant basic physics of excitons, the authors discuss exciton-phonon interactions as well as the behaviour of biexcitons. They cover exciton phase transitions and give particular attention to nonlinear optical effects including the optical Stark effect and chaos in excitonic systems. The thermodynamics of equilibrium, quasi-equilibrium, and nonequilibrium systems are examined in detail. The authors interweave theoretical and experimental results throughout the book, and it will be of great interest to graduate students and researchers in semiconductor and superconductor physics, quantum optics, and atomic physics.
Author |
: Panayotis G. Kevrekidis |
Publisher |
: SIAM |
Total Pages |
: 437 |
Release |
: 2015-08-04 |
ISBN-10 |
: 9781611973938 |
ISBN-13 |
: 1611973937 |
Rating |
: 4/5 (38 Downloads) |
Synopsis The Defocusing Nonlinear Schr?dinger Equation by : Panayotis G. Kevrekidis
Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schr?dinger-type models that arise therein. The Defocusing Nonlinear Schr?dinger Equation is a broad study of nonlinear excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schr?dinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.
Author |
: Nick P. Proukakis |
Publisher |
: Cambridge University Press |
Total Pages |
: 663 |
Release |
: 2017-04-27 |
ISBN-10 |
: 9781107085695 |
ISBN-13 |
: 1107085691 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Universal Themes of Bose-Einstein Condensation by : Nick P. Proukakis
Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.
Author |
: Rejish Nath Gopinathan Rejani |
Publisher |
: |
Total Pages |
: 109 |
Release |
: 2009 |
ISBN-10 |
: OCLC:455635260 |
ISBN-13 |
: |
Rating |
: 4/5 (60 Downloads) |
Synopsis Non-linear Phenomena in Dipolar Bose-Einstein Condensates by : Rejish Nath Gopinathan Rejani
Author |
: Lev Pitaevskii |
Publisher |
: Oxford University Press |
Total Pages |
: 567 |
Release |
: 2016-01-21 |
ISBN-10 |
: 9780191076688 |
ISBN-13 |
: 0191076686 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Bose-Einstein Condensation and Superfluidity by : Lev Pitaevskii
Ultracold atomic gases is a rapidly developing area of physics that attracts many young researchers around the world. Written by world renowned experts in the field, this book gives a comprehensive overview of exciting developments in Bose-Einstein condensation and superfluidity from a theoretical perspective. The authors also make sense of key experiments from the past twenty years with a special focus on the physics of ultracold atomic gases. These systems are characterized by a rich variety of features which make them similar to other important systems of condensed matter physics (like superconductors and superfluids). At the same time they exhibit very peculiar properties which are the result of their gaseous nature, the possibility of trapping in a variety of low dimensional and periodical configurations, and of manipulating the two-body interaction. The book presents a systematic theoretical description based on the most successful many-body approaches applied both to bosons and fermions, at equilibrium and out of equilibrium, at zero as well as at finite temperature. Both theorists and experimentalists will benefit from the book, which is mainly addressed to beginners in the field (master students, PhD students, young postdocs), but also to more experienced researchers who can find in the book novel inspirations and motivations as well as new insightful connections. Building on the authors' first book, Bose-Einstein Condensation (Oxford University Press, 2003), this text offers a more systematic description of Fermi gases, quantum mixtures, low dimensional systems and dipolar gases. It also gives further emphasis on the peculiar phenomenon of superfluidity and its key role in many observable properties of these ultracold quantum gases.
Author |
: C. J. Pethick |
Publisher |
: Cambridge University Press |
Total Pages |
: 538 |
Release |
: 2008-09-11 |
ISBN-10 |
: 9781139811088 |
ISBN-13 |
: 1139811088 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Bose–Einstein Condensation in Dilute Gases by : C. J. Pethick
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.
Author |
: Keith Burnett (Ed); Mark Edwar |
Publisher |
: DIANE Publishing |
Total Pages |
: 213 |
Release |
: 1996-12 |
ISBN-10 |
: 9780788137402 |
ISBN-13 |
: 0788137409 |
Rating |
: 4/5 (02 Downloads) |
Synopsis Bose-Einstein Condensation by : Keith Burnett (Ed); Mark Edwar
Among the most remarkable effects that quantum mechanics adds to the catalog of the thermal properties of matter is "condensation" of an ideal gas of identical particles into a single quantum state, the principle of which was discovered in the theory of statistical mechanics by Bose and Einstein in the 1920s. Bose-Einstein condensation (BEC) is a mechanism for producing a macroscopic quantum system, and is exemplary of the macroscopic quantum phenomena of superconductivity and superfluidity.These 15 papers provide an introduction to current work on BEC.
Author |
: Amandine Aftalion |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 212 |
Release |
: 2007-10-14 |
ISBN-10 |
: 9780817644925 |
ISBN-13 |
: 081764492X |
Rating |
: 4/5 (25 Downloads) |
Synopsis Vortices in Bose-Einstein Condensates by : Amandine Aftalion
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.