Bose Einstein Condensation In Nonlinear System
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Bose Einstein Condensation in Nonlinear System
Author | : Shōsuke Sasaki |
Publsiher | : Nova Novinka |
Total Pages | : 172 |
Release | : 2011 |
Genre | : Science |
ISBN | : 1616687541 |
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Bose--Einstein condensation was discovered in atomic gas systems, where Bose condensate occupies 100% of the total system at zero temperature. Liquid helium systems have been investigated based on the Landau theory, where the superfluid component of liquid helium is background flow. According to the Landau theory, it is doubtful that the superfluid component is a Bose condensate. In experiments, the probability of helium atoms with zero momentum is a few percent of the total liquid helium at ultra-low temperatures. However, the superfluid component occupies 100% of the liquid helium at zero temperature, as macroscopic observations indicate. This book introduces a quasi-particle representing an eigenstate of the total Hamiltonian.
Emergent Nonlinear Phenomena in Bose Einstein Condensates
Author | : Panayotis G. Kevrekidis,Dimitri J. Frantzeskakis,Ricardo Carretero-González |
Publsiher | : Springer Science & Business Media |
Total Pages | : 398 |
Release | : 2007-12-29 |
Genre | : Science |
ISBN | : 9783540735915 |
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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
Author | : Svi︠a︡toslav Anatolʹevich Moskalenko,D. W. Snoke |
Publsiher | : Cambridge University Press |
Total Pages | : 434 |
Release | : 2000-02-28 |
Genre | : Science |
ISBN | : 0521580994 |
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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.
Bose Einstein Condensation
Author | : Keith Burnett (Ed); Mark Edwar |
Publsiher | : DIANE Publishing |
Total Pages | : 213 |
Release | : 1996-12 |
Genre | : Electronic Book |
ISBN | : 9780788137402 |
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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.
Vortices in Bose Einstein Condensates
Author | : Amandine Aftalion |
Publsiher | : Springer Science & Business Media |
Total Pages | : 203 |
Release | : 2007-10-14 |
Genre | : Mathematics |
ISBN | : 9780817644925 |
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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.
Schr dinger Equations in Nonlinear Systems
Author | : Wu-Ming Liu,Emmanuel Kengne |
Publsiher | : Springer |
Total Pages | : 569 |
Release | : 2019-03-20 |
Genre | : Science |
ISBN | : 9789811365812 |
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This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.
Solutions of Nonlinear Schr dinger Systems
Author | : Zhijie Chen |
Publsiher | : Springer |
Total Pages | : 191 |
Release | : 2014-11-24 |
Genre | : Mathematics |
ISBN | : 9783662454787 |
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The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrӧdinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schrӧdinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs.
Spin Squeezing and Non linear Atom Interferometry with Bose Einstein Condensates
Author | : Christian Groß |
Publsiher | : Springer Science & Business Media |
Total Pages | : 123 |
Release | : 2012-01-13 |
Genre | : Science |
ISBN | : 9783642256363 |
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Interferometry, the most precise measurement technique known today, exploits the wave-like nature of the atoms or photons in the interferometer. As expected from the laws of quantum mechanics, the granular, particle-like features of the individually independent atoms or photons are responsible for the precision limit, the shot noise limit. However this “classical” bound is not fundamental and it is the aim of quantum metrology to overcome it by employing entanglement among the particles. This work reports on the realization of spin-squeezed states suitable for atom interferometry. Spin squeezing was generated on the basis of motional and spin degrees of freedom, whereby the latter allowed the implementation of a full interferometer with quantum-enhanced precision.