The Theory of Open Quantum Systems

Author: Heinz-Peter Breuer,Physikalisches Institut Heinz-Peter Breuer,Francesco Petruccione,School of Pure and Applied Physics Francesco Petruccione

Publisher: Oxford University Press on Demand

ISBN: 9780198520634

Category: Science

Page: 625

View: 9336

This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantummechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to thestudy of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the lasercooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examplesfrom a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help ofnumerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.

Open Quantum Systems

An Introduction

Author: Ángel Rivas,Susana F. Huelga

Publisher: Springer Science & Business Media

ISBN: 9783642233548

Category: Science

Page: 97

View: 592

In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.

Open Quantum Systems II

The Markovian Approach

Author: Stéphane Attal,Alain Joye

Publisher: Springer Science & Business Media

ISBN: 3540309926

Category: Mathematics

Page: 244

View: 6965

Presents the developments and applications in the field of quantum open systems. This book discusses topics, such as the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.

Open Quantum Systems and Feynman Integrals

Author: P. Exner

Publisher: Springer Science & Business Media

ISBN: 9400952074

Category: Science

Page: 356

View: 2954

Every part of physics offers examples of non-stability phenomena, but probably nowhere are they so plentiful and worthy of study as in the realm of quantum theory. The present volume is devoted to this problem: we shall be concerned with open quantum systems, i.e. those that cannot be regarded as isolated from the rest of the physical universe. It is a natural framework in which non-stationary processes can be investigated. There are two main approaches to the treatment of open systems in quantum theory. In both the system under consideration is viewed as part of a larger system, assumed to be isolated in a reasonable approximation. They are differentiated mainly by the way in which the state Hilbert space of the open system is related to that of the isolated system - either by orthogonal sum or by tensor product. Though often applicable simultaneously to the same physical situation, these approaches are complementary in a sense and are adapted to different purposes. Here we shall be concerned with the first approach, which is suitable primarily for a description of decay processes, absorption, etc. The second approach is used mostly for the treatment of various relaxation phenomena. It is comparably better examined at present; in particular, the reader may consult a monograph by E. B. Davies.

Open Quantum Systems

Dynamics of Nonclassical Evolution

Author: Subhashish Banerjee

Publisher: Springer

ISBN: 9789811331817

Category: Science

Page: 278

View: 2545

This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.

Thermodynamics and Synchronization in Open Quantum Systems

Author: Gonzalo Manzano Paule

Publisher: Springer

ISBN: 3319939645

Category: Science

Page: 411

View: 2014

This book explores some of the connections between dissipative and quantum effects from a theoretical point of view. It focuses on three main topics: the relation between synchronization and quantum correlations, the thermodynamical properties of fluctuations, and the performance of quantum thermal machines. Dissipation effects have a profound impact on the behavior and properties of quantum systems, and the unavoidable interaction with the surrounding environment, with which systems continuously exchange information, energy, angular momentum and matter, is ultimately responsible for decoherence phenomena and the emergence of classical behavior. However, there is a wide intermediate regime in which the interplay between dissipative and quantum effects gives rise to a plethora of rich and striking phenomena that has just started to be understood. In addition, the recent breakthrough techniques in controlling and manipulating quantum systems in the laboratory have made this phenomenology accessible in experiments and potentially applicable.

Open Quantum Systems Far from Equilibrium

Author: Gernot Schaller

Publisher: Springer

ISBN: 331903877X

Category: Science

Page: 207

View: 9105

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.

Open Quantum Systems III

Recent Developments

Author: Stéphane Attal,Alain Joye

Publisher: Springer Science & Business Media

ISBN: 3540309934

Category: Mathematics

Page: 314

View: 7503

Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.

Open Quantum Systems I

The Hamiltonian Approach

Author: Stéphane Attal,Alain Joye,claude-alain pillet

Publisher: Springer

ISBN: 3540339221

Category: Mathematics

Page: 329

View: 9056

Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.

A Study of Dynamics of Open Quantum Systems

Author: Subhashish Banerjee

Publisher: LAP Lambert Academic Publishing

ISBN: 9783846522271


Page: 172

View: 7229

In this work the objective has been to investigate some aspects of the dynamics of quantum open systems, in particular the quantum theory of dissipation. This is a very vast and challenging topic ranging from fundamental aspects of quantum statistical mechanics, quantum optics to applications in as diverse areas as superconducting devices and quantum gravity. The approach used in these investigations is that of functional integration. This approach, apart from its beauty and elegance is also the most suitable one in the above scenario in that it is able to penetrate into regimes which are inaccessible by other means. The principal object used is the influence functional which is a functional integral that gives the effect of the environment on the system of interest. Here our main thrust has been to develop the tools and techniques of functional integration to investigate some aspects of quantum open systems in their generality. The quantum theory of a Stern-Gerlach system in contact with a linearly dissipative environment is investigated using the influence functional generalized to allow for nonfactorizable initial conditions. Then, the general problem of a two-level at

Quantum Interaction

7th International Conference, QI 2013, Leicester, UK, July 25-27, 2013. Selected Papers

Author: Harald Atmanspacher,Emmanuel Haven,Kirsty Kitto,Derek Raine

Publisher: Springer

ISBN: 3642549438

Category: Computers

Page: 349

View: 3184

This book constitutes the refereed proceedings of the 7th International Conference on Quantum Interaction, QI 2013, held in Leicester, UK, in July 2013. The 31 papers presented in this book were carefully selected from numerous submissions. The papers cover various topics on quantum interaction and revolve around four themes: information processing/retrieval/semantic representation and logic; cognition and decision making; finance/economics and social structures and biological systems.

Decoherence Suppression in Quantum Systems 2008

Author: Mikio Nakahara,Robabeh Rahimi,Akira SaiToh

Publisher: World Scientific

ISBN: 9814295841

Category: Electronic books

Page: 189

View: 3371

This volume provides an overview on the decoherence suppression methods in quantum computing, open quantum systems, quantum error correction and fault-tolerant quantum computing. It also includes concepts in geometric quantum computing by composite pulses. Quantum wipe effect is explained as an approach for suppressing decoherence of the system. A short contribution on the implementation of holonomic quantum gates with NMR (Nuclear Magnetic Resonance) is presented. The lecture notes contributed to this volume are prepared in a self-contained manner hence readers with limited knowledge on the topics could understand the discussions by following the sequence of chapters which begin with mathematical frameworks and progress to the most updated outcomes of the fields. The volume will be useful for a broad audience from graduate students to researchers interested in the field. Sample Chapter(s). Chapter 1: Elementary Mathematical Framework for Open Quantum D-Level Systems: Decoherence Overview (539 KB). Contents: Elementary Mathematical Framework for Open Quantum d -Level Systems: Decoherence Overview (G Kimura); Quantum Error Correction and Fault-Tolerant Quantum Computing (F Gaitan & R Li); Composite Pulses as Geometric Quantum Gates (Y Ota & Y Kondo); Quantum Wipe Effect (A SaiToh et al.); Holonomic Quantum Gates Using Isospectral Deformation of Ising Model (M Bando et al.). Readership: Advanced undergraduate students, graduate students and researchers in quantum physics, informatics and computer science.

Quantum Effects in Biology

Author: Masoud Mohseni,Yasser Omar,Gregory S. Engel,Martin B. Plenio

Publisher: Cambridge University Press

ISBN: 1107010802

Category: Science

Page: 416

View: 571

Explores the role of quantum mechanics in biology for advanced undergraduate and graduate students in physics, biology and chemistry.

Selected Topics in Open Quantum Systems

Author: Glenn Rogers

Publisher: N.A

ISBN: 9781632384133

Category: Science

Page: 148

View: 6712

A quantum system in contact with its environment is called an open environment system. The aim of this book is to present certain aspects of contemporary theory on open quantum systems. It presents numerous updated topics, like modeling of quantum noise, detecting quantum entanglement, quantum communication procedures, computational intricacy in the evaluation of quantum operations etc., along with discussions on light propagation in optically dressed media, entropy and information measures for quantized electromagnetic fields media. The book aims to serve as a useful source of information for students as well as researchers interested in the extensive fields of open systems and quantum optics.

Quantenphysik für Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 3527668004

Category: Science

Page: 316

View: 7934

Von den Grundlagen bis zur Streutheorie – das Wichtigste zur Quantenmechanik Die Quantenphysik ist ein zentrales und spannendes, wenn auch von vielen Schülern und Studenten ungeliebtes Thema der Physik. Aber keine Sorge! Steven Holzner erklärt Ihnen verständlich und lebendig, was Sie über Quantenphysik wissen müssen. Er erläutert die Grundlagen von Drehimpuls und Spin, gibt Ihnen Tipps, wie Sie komplexe Gleichungen lösen und nimmt den klassischen Problemen der Quantenphysik den Schrecken. Dabei arbeitet er mit Beispielen, die er ausführlich erklärt und gibt Ihnen so zusätzliche Sicherheit auf einem vor Unschärfen wimmelnden Feld.

Bohmian Mechanics, Open Quantum Systems and Continuous Measurements

Author: Antonio B. Nassar,Salvador Miret-Artés

Publisher: Springer

ISBN: 3319536532

Category: Science

Page: 241

View: 9699

This book shows how Bohmian mechanics overcomes the need for a measurement postulate involving wave function collapse. The measuring process plays a very important role in quantum mechanics. It has been widely analyzed within the Copenhagen approach through the Born and von Neumann postulates, with later extension due to Lüders. In contrast, much less effort has been invested in the measurement theory within the Bohmian mechanics framework. The continuous measurement (sharp and fuzzy, or strong and weak) problem is considered here in this framework. The authors begin by generalizing the so-called Mensky approach, which is based on restricted path integral through quantum corridors. The measuring system is then considered to be an open quantum system following a stochastic Schrödinger equation. Quantum stochastic trajectories (in the Bohmian sense) and their role in basic quantum processes are discussed in detail. The decoherence process is thereby described in terms of classical trajectories issuing from the violation of the noncrossing rule of quantum trajectories.

Irreversible Quantum Dynamics

Author: Fabio Benatti,Roberto Floreanini

Publisher: Springer

ISBN: 3540448748

Category: Science

Page: 373

View: 3011

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.

An Open Systems Approach to Quantum Optics

Lectures Presented at the Université Libre de Bruxelles, October 28 to November 4, 1991

Author: Howard Carmichael

Publisher: Springer Science & Business Media

ISBN: 3540476202

Category: Science

Page: 182

View: 3315

This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991. A large part of the first six lectures is taken from material prepared for a book of somewhat larger scope which will be published,by Springer under the title Quantum Statistical Methods in Quantum Optics. The principal reason for the early publication of the present volume concerns the material contained in the last four lectures. Here I have put together, in a more or less systematic way, some ideas about the use of stochastic wavefunctions in the theory of open quantum optical systems. These ideas were developed with the help of two of my students, Murray Wolinsky and Liguang Tian, over a period of approximately two years. They are built on a foundation laid down in a paper written with Surendra Singh, Reeta Vyas, and Perry Rice on waiting-time distributions and wavefunction collapse in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB lecture notes contain my first serious atte~pt to give a complete account of the ideas and their potential applications. I am grateful to Professor Paul Mandel who, through his invitation to give the lectures, stimulated me to organize something useful out of work that may, otherwise, have waited considerably longer to be brought together.

Open Systems and Measurement in Relativistic Quantum Theory

Proceedings of the Workshop Held at the Istituto Italiano per gli Studi Filosofici, Naples, April 3–4, 1998

Author: Heinz-Peter Breuer,Francesco Petruccione

Publisher: Springer Science & Business Media

ISBN: 9783540659785

Category: Science

Page: 240

View: 4690

This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.