Strongly Interacting Quantum Systems Out Of Equilibrium

Author : Thierry Giamarchi,Hubert Saleur,Andrew J. Millis,Olivier Parcollet,Leticia F. Cugliandolo
Publisher : Oxford University Press
Page : 607 pages
File Size : 43,8 Mb
Release : 2016
Category : Science
ISBN : 9780198768166

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Les Houches 2012, Session XCIX by Thierry Giamarchi,Hubert Saleur,Andrew J. Millis,Olivier Parcollet,Leticia F. Cugliandolo Pdf

Over the last decade new experimental tools and theoretical concepts are providing new insights into collective nonequilibrium behaviour of quantum systems. On the solid state front, high intensity short-timepulses 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 newapproaches to nonequilibrium numerics. The summer school held at the Les Houches School of Physics as its XCIX session was designed to summarise 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.

Author : Christian Kasztelan
Publisher : Unknown
Page : 130 pages
File Size : 50,5 Mb
Release : 2010
Category : Electronic
ISBN : OCLC:711812817

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Strongly Interacting Quantum Systems Out of Equilibrium by Christian Kasztelan Pdf

Author : Thierry Giamarchi,Andrew J. Millis,Olivier Parcollet,Hubert Saleur,Leticia F. Cugliandolo
Publisher : Oxford University Press
Page : 578 pages
File Size : 50,5 Mb
Release : 2016-07-07
Category : Science
ISBN : 9780191080548

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Strongly Interacting Quantum Systems out of Equilibrium by Thierry Giamarchi,Andrew J. Millis,Olivier Parcollet,Hubert Saleur,Leticia F. Cugliandolo Pdf

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.

Author : Kazuma Nagao
Publisher : Springer Nature
Page : 126 pages
File Size : 41,6 Mb
Release : 2020-08-25
Category : Science
ISBN : 9789811571718

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Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms by Kazuma Nagao Pdf

This book discusses non-equilibrium quantum many-body dynamics, recently explored in an analog quantum simulator of strongly correlated ultracold atoms. The first part presents a field-theoretical analysis of the experimental observability of the Higgs amplitude mode that emerges as a relativistic collective excitation near a quantum phase transition of superfluid Bose gases in an optical lattice potential. The author presents the dynamical susceptibilities to external driving of the microscopic parameters, taking into account a leading-order perturbative correction from quantum and thermal fluctuations and shows clear signatures of the Higgs mode in these observables. This is the first result that strongly supports the stability of the Higgs mode in three-dimensional optical lattices even in the presence of a spatially inhomogeneous confinement potential and paves the way for desktop observations of the Higgs mode. In the second part, the author applies the semi-classical truncated-Wigner approximation (TWA) to far-from-equilibrium quantum dynamics. Specifically, he considers the recent experiments on quantum-quench dynamics in a Bose-Hubbard quantum simulator. A direct comparison shows remarkable agreement between the numerical results from TWA and the experimental data. This result clearly indicates the potential of such a semi-classical approach in reliably simulating many-body systems using classical computers. The book also includes several chapters providing comprehensive reviews of the recent studies on cold-atomic quantum simulation and various theoretical methods, including the Schwinger-boson approach in strongly correlated systems and the phase-space semi-classical method for far-from-equilibrium quantum dynamics. These chapters are highly recommended to students and young researchers who are interested in semi-classical approaches in non-equilibrium quantum dynamics.

Author : MANUEL. VALIENTE,Manuel (Institute for Advanced Study Valiente, Tsinghua University (China)),Nikolaj Thomas (Department of Physics and Astronomy Zinner, Aarhus University (Denmark))
Publisher : IOP Series in Quantum Technology
Page : 0 pages
File Size : 44,8 Mb
Release : 2022-09
Category : Electronic
ISBN : 0750330856

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Strongly Interacting Quantum Systems in Structured Media, Volume 1 by MANUEL. VALIENTE,Manuel (Institute for Advanced Study Valiente, Tsinghua University (China)),Nikolaj Thomas (Department of Physics and Astronomy Zinner, Aarhus University (Denmark)) Pdf

Author : Klaus Morawetz
Publisher : Oxford University Press
Page : 576 pages
File Size : 46,5 Mb
Release : 2017-12-08
Category : Science
ISBN : 9780192517784

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Interacting Systems far from Equilibrium by Klaus Morawetz Pdf

This book presents an up-to-date formalism of non-equilibrium Green's functions covering different applications ranging from solid state physics, plasma physics, cold atoms in optical lattices up to relativistic transport and heavy ion collisions. Within the Green's function formalism, the basic sets of equations for these diverse systems are similar, and approximations developed in one field can be adapted to another field. The central object is the self-energy which includes all non-trivial aspects of the system dynamics. The focus is therefore on microscopic processes starting from elementary principles for classical gases and the complementary picture of a single quantum particle in a random potential. This provides an intuitive picture of the interaction of a particle with the medium formed by other particles, on which the Green's function is built on.

Author : Roberta Citro,Ferdinando Mancini
Publisher : Springer
Page : 190 pages
File Size : 50,5 Mb
Release : 2018-07-26
Category : Technology & Engineering
ISBN : 9783319949567

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Out-of-Equilibrium Physics of Correlated Electron Systems by Roberta Citro,Ferdinando Mancini Pdf

This book is a wide-ranging survey of the physics of out-of-equilibrium systems of correlated electrons, ranging from the theoretical, to the numerical, computational and experimental aspects. It starts from basic approaches to non-equilibrium physics, such as the mean-field approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy.

Author : Oscar Leonardo Acevedo Pabón
Publisher : Unknown
Page : 128 pages
File Size : 44,9 Mb
Release : 2015
Category : Electronic
ISBN : OCLC:952675658

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Non-equilibrium Strongly Interacting Quantum Many-body Systems by Oscar Leonardo Acevedo Pabón Pdf

This thesis dissertation concerns the quantum dynamics of strongly interacting many-body systems under several non-equilibrium scenarios. Mimicking many real life settings, and specially some current major experiments, during most of this work we will deal with symmetrical interactions among the components, which will generate collective dynamics with high degree of correlation. The focus all throughout this work has been on the posssibility of accurately control the quantum properties of the system, even at the microscopic level, by cleverly choosing macroscopic manipulation protocols. Our main results can be summarized as follows. First, we thoroughly investigate the irreversible defect formation when the Dicke model, a paradigmatic light-matter system, is made to cross its quantum phase transition (QPT). Furthermore, we have been able to explain this dynamical QPT for totally connected lattices, which had remained unresolved by well-known theories like the Kibble-Zurek mechanism. This was done by means of a broad encompassing critical function theory. Also, by going beyond semi-adiabatic evolutions, we have discovered that the dynamical QPT of the Dicke model has an intermediate regime where non-equilibrium process provide a huge enhancing of quantum properties, far beyond the capabilities of equilibrium, quasi-equilibrium, or sudden quench schemes. Finally, we provided theoretical evidence and insights for the possibilities of quantum magnetism interactions in current high precision alkaline earth atom lattice clocks.

Author : Englert Berthold-georg
Publisher : World Scientific
Page : 336 pages
File Size : 55,7 Mb
Release : 2019-10-30
Category : Science
ISBN : 9789811213151

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Proceedings Of The Julian Schwinger Centennial Conference by Englert Berthold-georg Pdf

The Julian Schwinger Centennial Conference of 2018 assembled many of Schwinger's students, colleagues, and friends to celebrate this towering figure of twentieth century physics one hundred years after his birth. This proceedings volume collects talks delivered on this occasion. They cover a wide range of topics, all related to Schwinger's rich scientific legacy — supplemented by personal recollections about Julian Schwinger, the physicist, the teacher, and the gentleman.Also included are an essay of 1985, co-authored by Schwinger but not published previously, as well as the transcripts of speeches by distinguished colleagues at the 1978 gathering when Schwinger's sixtieth birthday was celebrated.

Author : Carolyn M. Van Vliet
Publisher : World Scientific
Page : 987 pages
File Size : 54,5 Mb
Release : 2008
Category : Science
ISBN : 9789812704771

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Equilibrium and Non-equilibrium Statistical Mechanics by Carolyn M. Van Vliet Pdf

This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.

Author : Edoardo Baldini
Publisher : Springer
Page : 316 pages
File Size : 41,6 Mb
Release : 2018-03-28
Category : Technology & Engineering
ISBN : 9783319774985

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Nonequilibrium Dynamics of Collective Excitations in Quantum Materials by Edoardo Baldini Pdf

This book studies the dynamics of fundamental collective excitations in quantum materials, focusing on the use of state-of-the-art ultrafast broadband optical spectroscopy. Collective behaviour in solids lies at the origin of several cooperative phenomena that can lead to profound transformations, instabilities and phase transitions. Revealing the dynamics of collective excitations is a topic of pivotal importance in contemporary condensed matter physics, as it provides information on the strength and spatial distribution of interactions and correlation. The experimental framework explored in this book relies on setting a material out-of-equilibrium by an ultrashort laser pulse and monitoring the photo-induced changes in its optical properties over a broad spectral region in the visible or deep-ultraviolet. Collective excitations (e.g. plasmons, excitons, phonons...) emerge either in the frequency domain as spectral features across the probed range, or in the time domain as coherent modes triggered by the pump pulse. Mapping the temporal evolution of these collective excitations provides access to the hierarchy of low-energy phenomena occurring in the solid during its path towards thermodynamic equilibrium. This methodology is used to investigate a number of strongly interacting and correlated materials with an increasing degree of internal complexity beyond conventional band theory.

Author : Gernot Schaller
Publisher : Springer
Page : 207 pages
File Size : 52,8 Mb
Release : 2014-01-07
Category : Science
ISBN : 9783319038773

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Open Quantum Systems Far from Equilibrium by Gernot Schaller Pdf

This monograph provides graduate students and also professional researchers aiming to understand the dynamics of open quantum systems with a valuable and self-contained toolbox. Special focus is laid on the link between microscopic models and the resulting open-system dynamics. This includes how to derive the celebrated Lindblad master equation without applying the rotating wave approximation. As typical representatives for non-equilibrium configurations it treats systems coupled to multiple reservoirs (including the description of quantum transport), driven systems and feedback-controlled quantum systems. Each method is illustrated with easy-to-follow examples from recent research. Exercises and short summaries at the end of every chapter enable the reader to approach the frontiers of current research quickly and make the book useful for quick reference.

Author : Wolfgang Cassing
Publisher : Springer Nature
Page : 260 pages
File Size : 52,5 Mb
Release : 2021-10-21
Category : Science
ISBN : 9783030802950

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Transport Theories for Strongly-Interacting Systems by Wolfgang Cassing Pdf

This book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.

Author : Francesco Becattini,Jinfeng Liao,Michael Lisa
Publisher : Springer Nature
Page : 400 pages
File Size : 48,9 Mb
Release : 2021-07-19
Category : Science
ISBN : 9783030714277

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Strongly Interacting Matter under Rotation by Francesco Becattini,Jinfeng Liao,Michael Lisa Pdf

This book addresses the needs of growing community of graduate students and researchers new to the area, for a survey that covers a wide range of pertinent topics, summarizes the current status of the field, and provides the necessary pedagogical materials for newcomers. The investigation of strongly interacting matter under the influence of macroscopic rotational motion is a new, emerging area of research that encompasses a broad range of conventional physics disciplines such as nuclear physics, astrophysics, and condensed matter physics, where the non-trivial interplay between global rotation and spin is generating many novel phenomena. Edited and authored by leading researchers in the field, this book covers the following topics: thermodynamics and equilibrium distribution of rotating matter; quantum field theory and rotation; phase structure of QCD matter under rotation; kinetic theory of relativistic rotating matter; hydrodynamics with spin; magnetic effects in fluid systems with high vorticity and charge; polarization measurements in heavy ion collisions; hydrodynamic modeling of the QCD plasma and polarization calculation in relativistic heavy ion collisions; chiral vortical effect; rotational effects and related topics in neutron stars and condensed matter systems.

Author : Michele Fabrizio
Publisher : Springer Nature
Page : 350 pages
File Size : 45,7 Mb
Release : 2022-11-01
Category : Science
ISBN : 9783031163050

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A Course in Quantum Many-Body Theory by Michele Fabrizio Pdf

This textbook presents various methods to deal with quantum many-body systems, mainly addressing interacting electrons. It focusses on basic tools to tackle quantum effects in macroscopic systems of interacting particles, and on fundamental concepts to interpret the behavior of such systems as revealed by experiments. The textbook starts from simple concepts like second quantization, which allows one to include the indistinguishability and statistics of particles in a rather simple framework, and linear response theory. Then, it gradually moves towards more technical and advanced subjects, including recent developments in the field. The diagrammatic technique is comprehensively discussed. Some of the advanced topics include Landau’s Fermi liquid theory, Luttinger liquids, the Kondo effect, and the Mott transition. The ultimate goal of the book is to gain comprehension of physical quantities that are routinely measured experimentally and fully characterize the system, therefore it is useful for graduate students but also young researchers studying and investigating the theoretical aspects of condensed matter physics.