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Effective Dynamics Of Disordered Quantum Systems
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Book Synopsis Effective Dynamics of Disordered Quantum Systems by : Chahan Kropf
Download or read book Effective Dynamics of Disordered Quantum Systems written by Chahan Kropf and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Effective Dynamics of Disordered Quantum Systems by : Chahan Kropf
Download or read book Effective Dynamics of Disordered Quantum Systems written by Chahan Kropf and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: We derive general evolution equations describing the ensemble-average quantum dynamics generated by disordered Hamiltonians. The disorder average affects the coherence of the evolution and can be accounted for by suitably tailored effective coupling agents and associated rates that encode the specific statistical properties of the Hamiltonian's eigenvectors and eigenvalues, respectively. Spectral disorder and isotropically disordered eigenvector distributions are considered as paradigmatictest cases
Book Synopsis Inhomogeneous and Disordered Quantum Systems: from Dynamics to Topology by : Bastien Lapierre
Download or read book Inhomogeneous and Disordered Quantum Systems: from Dynamics to Topology written by Bastien Lapierre and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Order,Disorder and Chaos in Quantum Systems by : Exner
Download or read book Order,Disorder and Chaos in Quantum Systems written by Exner and published by Birkhäuser. This book was released on 2013-03-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume collects the contributions to the conference "Order, disorder and chaos in quantum systems" which was held at Dubna last October. It is the third meeting in the series started three years ago in which we tried to put together mathematical physicists from the member and non-member countries of JINR with their colleagues from soviet universities and institutes using this international centre as a convenient basis. As in the previous cases, new faces, subj ects and ideas appeared but the spirit remained the same, relaxed and inspirative. Among this conference contributions, a majority should be listed in the "orderly" category. Being more specific, this means mostly various aspects of the theory of Schroedinger operators that has been always a core of quantum mechanics. In spite of the fact that it is studied already for several decades, there are still many interesting problems to solve as some of the lectures collected below witness. At the same time, the theory extends to some new areas motivated by physical problems ; let us mention Schroedinger operators in complicated spatial domains appearing in some parts of solid-state physics or various models using the concept of contact interactions. Our world is far from perfect and to keep a perfect order is difficult not only in everyday life but also in most physical systems. Theoreticians are used to take this fact into account introducing stochastic factors into their considerations.
Book Synopsis Fluctuation Theorems in Closed Modular Quantum Systems by : Jens Teifel
Download or read book Fluctuation Theorems in Closed Modular Quantum Systems written by Jens Teifel and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics of Disordered and Interacting Open Quantum Systems by : Ofek Asban
Download or read book Dynamics of Disordered and Interacting Open Quantum Systems written by Ofek Asban and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We investigate the dynamics of quantum glasses coupled to a thermal environment via two models, the two-level-system-glass (TG) and the electron-glass (EG). The TG depicts TLSs (pseudo spins) that interact with each other via phonon and/or photon mediated random dipolar interaction. These TLSs represent the dominant degrees of freedom that emerge at low temperatures in amorphous solids. It is argued that the microscopic nature of TLS can be explained by the tunneling of an atom or a group of atoms between two localized nearly degenerate states. The EG depicts electrons that tunnel between localized potential wells and interact via the bare Coulomb interaction. Both TG and EG systems are governed by disorder, thus their excitations are localized and transport is assisted by a bosonic environment at finite temperatures.
Book Synopsis Quantum Dynamics in Rugged Energy Landscapes, and Additional Topics in Disordered Systems by : Christopher L. Baldwin
Download or read book Quantum Dynamics in Rugged Energy Landscapes, and Additional Topics in Disordered Systems written by Christopher L. Baldwin and published by . This book was released on 2018 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis concerns the interplay of quantum mechanics with strong disorder, and the novel dynamical phases that are unique to disordered quantum systems. The results that we present apply to systems ranging from spin glasses to granular superconductors to quantum-computational problems. In the first part, we discuss the isolated quantum dynamics of mean-field spin glass models, using the random energy and p-spin models in a transverse field as tractable examples. We show that the low-energy configurations are organized into clusters separated by macroscopic Hamming distances, and that the tunneling amplitudes between clusters are exponentially suppressed. As a result, we find three distinct dynamical phases. At small transverse field, the system remains trapped within its starting cluster (trapped phase). At intermediate transverse field, the system tunnels between clusters (tunneling phase). At large transverse field, the system is excited out of clusters (excitation phase). We describe the similarities and differences between the trapped phase and a many-body localized phase. We also discuss at length the implications for quantum-computational approaches to ``matching'' problems, in which one solution to a computational problem is used as a starting point to find others. Only in the tunneling phase can quantum dynamics solve the matching problem. Although necessarily exponentially slow in system size, it may be exponentially faster than simple classical algorithms. In the second part, we discuss interfering directed paths in disordered media. Important physical realizations are hopping conduction in semiconductors, spin glasses at high temperature, and granular D-wave superconductors. Sign order, defined as the directed path sum having greater probability of being positive than negative at large distance, is a characterization of the role of interference with implications for the response of systems to a magnetic field. We show that path sums are necessarily sign-disordered in two dimensions but may be sign-ordered in three dimensions. Building on this result, we study the behavior of granular D-wave superconductors and show that the superconductivity is enhanced by a magnetic field, even beyond the directed-path regime.
Book Synopsis Ultrafast Dynamics of Quantum Systems by : Baldassare di Bartolo
Download or read book Ultrafast Dynamics of Quantum Systems written by Baldassare di Bartolo and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a NATO Advanced Summer Institute, this volume discusses physical models, mathematical formalisms, experimental techniques, and applications for ultrafast dynamics of quantum systems. These systems are used in laser optics, spectroscopy, and utilize monochromaticity, spectral brightness, coherence, power density, and tunability of laser sources.
Book Synopsis Disorder-Free Localization by : Adam Smith
Download or read book Disorder-Free Localization written by Adam Smith and published by Springer. This book was released on 2019-07-01 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models – intimately related to paradigmatic condensed matter models – and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.
Book Synopsis Irreversible Quantum Dynamics by : Fabio Benatti
Download or read book Irreversible Quantum Dynamics written by Fabio Benatti and published by Springer. This book was released on 2008-01-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of editing the present volume in the Lecture Notes in Physics series arosewhileorganizingthe“ConferenceonIrreversibleQuantumDynamics”that took place at The Abdus Salam International Center for Theoretical Physics, Trieste, Italy, from July 29 to August 2, 2002. The aim of the Conference was to bring together di?erent groups of - searcherswhoseinterestsandpursuitsinvolveirreversibilityandtimeasymmetry in quantum mechanics. The Conference promoted open and in-depth exchanges of di?erent points of view, concerning both the content and character of qu- tum irreversibility and the methodologies used to study it. The following main themes were addressed: • Theoretical Aspects of Quantum Irreversible Dynamics • Open Quantum Systems and Applications • Foundational Aspects of Irreversible Quantum Dynamics • Asymmetric Time Evolution and Resonances Eachthemewasreviewedbyanexpertinthe?eld,accompaniedbymorespeci?c, research-like shorter talks. The whole topic of quantum irreversibility in all its manifold aspects has always raised a lot of interest, starting with the description of unstable systems in quantum mechanics and the issue of quantum measurement. Further, in - cent years a boost of activity concerning noise, dissipation and open systems has been prompted by the fast developing ?eld of quantum communication and information theory. These considerations motivated the editors to put together a volume that tries to summarize the present day status of the research in the ?eld, with the aim of providing the reader with an accessible and exhaustive introduction to it.
Book Synopsis The Transition to Chaos by : Linda Reichl
Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Nature. This book was released on 2021-04-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.
Book Synopsis Statistical Benchmarks for Quantum Transport in Complex Systems by : Mattia Walschaers
Download or read book Statistical Benchmarks for Quantum Transport in Complex Systems written by Mattia Walschaers and published by Springer. This book was released on 2018-07-31 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches rapidly become intractable, which leaves statistics as a viable alternative.
Book Synopsis Strongly Interacting Quantum Systems out of Equilibrium by : Thierry Giamarchi
Download or read book Strongly Interacting Quantum Systems out of Equilibrium written by Thierry Giamarchi and published by Oxford University Press. This book was released on 2016-11-17 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Anderson Localization and Its Ramifications by : Tobias Brandes
Download or read book Anderson Localization and Its Ramifications written by Tobias Brandes and published by Springer Science & Business Media. This book was released on 2003-09-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phenomenon of localization of the electronic wave function in a random medium can be regarded as the key manifestation of quantum coherence in a condensed matter system. As one of the most remarkable phenomena in condensed matter physics discovered in the 20th century, the localization problem is an indispensable part of the theory of the quantum Hall effects and rivals superconductivity in its significance as a manifestation of quantum coherence at a macroscopic scale. The present volume, written by some of the leading experts in the field, is intended to highlight some of the recent progress in the field of localization, with particular emphasis on the effect of interactions on quantum coherence. The chapters are written in textbook style and should serve as a reliable and thorough introduction for advanced students or researchers already working in the field of mesoscopic physics.
Book Synopsis Dynamics of One-Dimensional Quantum Systems by : Yoshio Kuramoto
Download or read book Dynamics of One-Dimensional Quantum Systems written by Yoshio Kuramoto and published by Cambridge University Press. This book was released on 2009-08-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and accessible account of the dynamical properties of one-dimensional quantum systems, for graduate students and new researchers.
Book Synopsis Quantum Dissipative Systems by : Ulrich Weiss
Download or read book Quantum Dissipative Systems written by Ulrich Weiss and published by World Scientific. This book was released on 2012 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book OCo originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions OCo delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems. This fourth edition provides a self-contained and updated account of the quantum mechanics of open systems and offers important new material including the most recent developments. The subject matter has been expanded by about fifteen percent. Many chapters have been completely rewritten to better cater to both the needs of newcomers to the field and the requests of the advanced readership. Two chapters have been added that account for recent progress in the field. This book should be accessible to all graduate students in physics. Researchers will find this a rich and stimulating source."
Book Synopsis Adiabatic Perturbation Theory in Quantum Dynamics by : Stefan Teufel
Download or read book Adiabatic Perturbation Theory in Quantum Dynamics written by Stefan Teufel and published by Springer Science & Business Media. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: