Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates
Title | Nonlinear Phenomena and Stripe Phases in Bose-Einstein Condensates PDF eBook |
Author | Thomas Michael Bersano |
Publisher | |
Pages | 200 |
Release | 2019 |
Genre | Bose-Einstein gas |
ISBN |
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.
Emergent Nonlinear Phenomena in Bose-Einstein Condensates
Title | Emergent Nonlinear Phenomena in Bose-Einstein Condensates PDF eBook |
Author | Panayotis G. Kevrekidis |
Publisher | Springer Science & Business Media |
Pages | 398 |
Release | 2007-12-29 |
Genre | Science |
ISBN | 3540735917 |
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.
Bose-Einstein Condensation of Excitons and Biexcitons
Title | Bose-Einstein Condensation of Excitons and Biexcitons PDF eBook |
Author | Svi︠a︡toslav Anatolʹevich Moskalenko |
Publisher | Cambridge University Press |
Pages | 434 |
Release | 2000-02-28 |
Genre | Science |
ISBN | 9780521580991 |
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.
The Defocusing Nonlinear Schr?dinger Equation
Title | The Defocusing Nonlinear Schr?dinger Equation PDF eBook |
Author | Panayotis G. Kevrekidis |
Publisher | SIAM |
Pages | 437 |
Release | 2015-08-04 |
Genre | Mathematics |
ISBN | 1611973937 |
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.
Universal Themes of Bose-Einstein Condensation
Title | Universal Themes of Bose-Einstein Condensation PDF eBook |
Author | Nick P. Proukakis |
Publisher | Cambridge University Press |
Pages | 663 |
Release | 2017-04-27 |
Genre | Science |
ISBN | 1107085691 |
Covering general theoretical concepts and the research to date, this book demonstrates that Bose-Einstein condensation is a truly universal phenomenon.
Non-linear Phenomena in Dipolar Bose-Einstein Condensates
Title | Non-linear Phenomena in Dipolar Bose-Einstein Condensates PDF eBook |
Author | Rejish Nath Gopinathan Rejani |
Publisher | |
Pages | 109 |
Release | 2009 |
Genre | |
ISBN |
Bose-Einstein Condensation and Superfluidity
Title | Bose-Einstein Condensation and Superfluidity PDF eBook |
Author | Lev Pitaevskii |
Publisher | Oxford University Press |
Pages | 567 |
Release | 2016-01-21 |
Genre | Science |
ISBN | 0191076686 |
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.