Dynamics Of One Dimensional Quantum Systems
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Dynamics Of One Dimensional Quantum Systems
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Author : Yoshio Kuramoto
language : en
Publisher: Cambridge University Press
Release Date : 2009-08-06
Dynamics Of One Dimensional Quantum Systems written by Yoshio Kuramoto and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-06 with Mathematics categories.
A concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.
Dynamics Of One Dimensional Quantum Systems
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Author : Yoshio Kuramoto
language : en
Publisher:
Release Date : 2014-05-14
Dynamics Of One Dimensional Quantum Systems written by Yoshio Kuramoto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
A concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.
Non Equilibrium Dynamics Of One Dimensional Bose Gases
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Author : Tim Langen
language : en
Publisher: Springer
Release Date : 2015-05-22
Non Equilibrium Dynamics Of One Dimensional Bose Gases written by Tim Langen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-22 with Science categories.
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence of thermal correlations and the observation of generalized thermodynamic ensembles. This points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution, and lays the groundwork for a universal framework of non-equilibrium physics. The thesis investigates a central question that is highly contested in quantum physics: how and to which extent does an isolated quantum many-body system relax? This question arises in many diverse areas of physics, and many of the open problems appear at vastly different energy, time and length scales, ranging from high-energy physics and cosmology to condensed matter and quantum information. A key challenge in attempting to answer this question is the scarcity of quantum many-body systems that are both well isolated from the environment and accessible for experimental study.
Solvable One Dimensional Multi State Models For Statistical And Quantum Mechanics
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Author : Rajendran Saravanan
language : en
Publisher: Springer Nature
Release Date : 2021-11-14
Solvable One Dimensional Multi State Models For Statistical And Quantum Mechanics written by Rajendran Saravanan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-14 with Science categories.
This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multi-state models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the time-domain methods to solve Smoluchowski-based reaction-diffusion systems with single-state and two-state descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensed-phase chemical dynamics. In Chapter 3, time-domain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. In interest with electronic transitions, a new solvable two-state model with localized non-adiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field.
An Introduction To Integrable Techniques For One Dimensional Quantum Systems
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Author : Fabio Franchini
language : en
Publisher: Springer
Release Date : 2017-05-25
An Introduction To Integrable Techniques For One Dimensional Quantum Systems written by Fabio Franchini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.
This book introduces the reader to basic notions of integrable techniques for one-dimensional quantum systems. In a pedagogical way, a few examples of exactly solvable models are worked out to go from the coordinate approach to the Algebraic Bethe Ansatz, with some discussion on the finite temperature thermodynamics. The aim is to provide the instruments to approach more advanced books or to allow for a critical reading of research articles and the extraction of useful information from them. We describe the solution of the anisotropic XY spin chain; of the Lieb-Liniger model of bosons with contact interaction at zero and finite temperature; and of the XXZ spin chain, first in the coordinate and then in the algebraic approach. To establish the connection between the latter and the solution of two dimensional classical models, we also introduce and solve the 6-vertex model. Finally, the low energy physics of these integrable models is mapped into the corresponding conformal field theory. Through its style and the choice of topics, this book tries to touch all fundamental ideas behind integrability and is meant for students and researchers interested either in an introduction to later delve in the advance aspects of Bethe Ansatz or in an overview of the topic for broadening their culture.
Mathematical Physics In One Dimension
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Author : Elliott H. Lieb
language : en
Publisher: Academic Press
Release Date : 2013-09-17
Mathematical Physics In One Dimension written by Elliott H. Lieb and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-17 with Science categories.
Mathematical Physics in One Dimension: Exactly Soluble Models of Interacting Particles covers problems of mathematical physics with one-dimensional analogs. The book discusses classical statistical mechanics and phase transitions; the disordered chain of harmonic oscillators; and electron energy bands in ordered and disordered crystals. The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). Physicists and mathematicians will find the book invaluable.
Strongly Interacting Quantum Systems Out Of Equilibrium
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Author : Thierry Giamarchi
language : en
Publisher: Oxford University Press
Release Date : 2016-07-07
Strongly Interacting Quantum Systems Out Of Equilibrium written by Thierry Giamarchi and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-07 with Science categories.
Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behavior of quantum systems. The exquisite control provided by laser trapping and cooling techniques allows us to observe the behavior of condensed bose and degenerate Fermi gases under nonequilibrium drive or after `quenches' in which a Hamiltonian parameter is suddenly or slowly changed. On the solid state front, high intensity short-time pulses and fast (femtosecond) probes allow solids to be put into highly excited states and probed before relaxation and dissipation occur. Experimental developments are matched by progress in theoretical techniques ranging from exact solutions of strongly interacting nonequilibrium models to new approaches to nonequilibrium numerics. The summer school `Strongly interacting quantum systems out of equilibrium' held at the Les Houches School of Physics as its XCIX session was designed to summarize this progress, lay out the open questions and define directions for future work. This books collects the lecture notes of the main courses given in this summer school.
Dynamics Of Complex Quantum Systems
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Author : Vladimir M. Akulin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-30
Dynamics Of Complex Quantum Systems written by Vladimir M. Akulin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-30 with Science categories.
This book gathers together a range of similar problems that can be encountered in different fields of modern quantum physics and that have common features with regard to multilevel quantum systems. The main motivation was to examine from a uniform standpoint various models and approaches that have been developed in atomic, molecular, condensed matter, chemical, laser and nuclear physics in various contexts. The book should help senior-level undergraduate, graduate students and researchers putting particular problems in these fields into a broader scientific context and thereby taking advantage of well-established techniques used in adjacent fields. This second edition has been expanded to include substantial new material (e.g. new sections on Dynamic Localization and on Euclidean Random Matrices and new chapters on Entanglement, Open Quantum Systems, and Coherence Protection). It is based on the author’s lectures at the Moscow Institute of Physics and Technology, at the CNRS Aimé Cotton Laboratory, and on other courses he has given over the last two decades.
Coherent Dynamics Of Complex Quantum Systems
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Author : Vladimir M. Akulin
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-21
Coherent Dynamics Of Complex Quantum Systems written by Vladimir M. Akulin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-21 with Science categories.
A large number of modern problems in physics, chemistry, and quantum electronics require a consideration of population dynamics in complex multilevel quantum systems. The purpose of this book is to provide a systematic treatment of these questions and to present a number of exactly solvable problems. It considers the different dynamical problems frequently encountered in different areas of physics from the same perspective, based mainly on the fundamental ideas of group theory and on the idea of ensemble average. Also treated are concepts of complete quantum control and correction of decoherence induced errors that are complementary to the idea of ensemble average. Coherent Dynamics of Complex Quantum Systems is aimed at senior-level undergraduate students in the areas of atomic, molecular, and laser physics, physical chemistry, quantum optics and quantum informatics. It should help them put particular problems in these fields into a broader scientific context and thereby take advantage of the well-elaborated technique of the adjacent fields.
Transfer Matrix Approach To Thermodynamics And Dynamics Of One Dimensional Quantum Systems
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Author :
language : en
Publisher:
Release Date : 2002
Transfer Matrix Approach To Thermodynamics And Dynamics Of One Dimensional Quantum Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.