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Download or read book The Interplay of Chaos and Dissipation in Driven Quantum Systems written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Georg M. Reuther
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832528466
Total Pages : 158 pages
Book Rating : 4.8/5 (325 download)
Download or read book Decoherence and Time-Resolved Readout in Superconducting Quantum Circuits (Dekohärenz und Zeitaufgelösste Quantenmessung in Supraleitenden Schaltkreisen) written by Georg M. Reuther and published by Logos Verlag Berlin GmbH. This book was released on 2011 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconducting quantum circuits are promising candidates for solid-state based quantum computation. However, minimizing dissipation caused by external noise sources remains a tough challenge. Here, we present an analytic dissipative theory for a complex circuit of two resonators coupled via a flux qubit. In this 'quantum switch', the qubit acts as a tunable coupler between the resonators, which enables switching their interaction on and off. A natural application of this setup is to create entangled two-resonator states. However, it turns out that, even if the qubit has no dynamics, qubit dissipation affects the resonators to a considerable degree. For successful quantum information processing, it is desirable to demonstrate the coherence of qubit time evolution in single-shot experiments without too much backaction on the qubit. In the second part of this thesis, we present a novel scheme for a time-resolved single-run measurement of coherent qubit dynamics. For a charge qubit probed by a weak high-frequency signal, we find that the reflected outgoing signal possesses a time-dependent phase shift that is proportional to a qubit observable. A similar approach is presented for a flux qubit coupled to a resonantly driven high-frequency oscillator, which serves as a meter device for monitoring the time-resolved qubit dynamics.
Author : D. Reguera
Publisher : Springer
ISBN 13 : 3540455574
Total Pages : 347 pages
Book Rating : 4.5/5 (44 download)
Download or read book Statistical and Dynamical Aspects of Mesoscopic Systems written by D. Reguera and published by Springer. This book was released on 2008-01-11 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initially a subfield of solid state physics, the study of mesoscopic systems has evolved over the years into a vast field of research in its own right. Keeping track its rapid progress, this book provides a broad survey of the latest developments in the field. The focus is on statistics and dynamics of mesoscopic systems with special emphasis on topics like quantum chaos, localization, noise and fluctuations, mesoscopic optics and quantum transport in nanostructures. Written with nonspecialists in mind, this book will also be useful to graduate students wishing to familiarize themselves with this field of research.
Author : Thomas Dittrich
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)
Download or read book Quantum Transport and Dissipation written by Thomas Dittrich and published by Wiley-VCH. This book was released on 1998-03-04 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing emphasis and importance of mesoscopic systems for tomorrow's high-tech electronics industry as well as a growing research interest in the subject has given rise to the need for a modern introductory text at the graduate level. This book aims to provide the necessary theory and tools to carry out research into the various aspects of the subject. It starts with a chapter on the theory of quantum transport giving a survey of the basic theory used in transport phenomena including scattering, linear response theory, weak localization, conductance fluctuations and the Landauer-B?ttiker formalism. Various aspects of chaos in quantum systems as well as dissipative quantum systems are discussed. Other topics of importance such as single electron tunneling, driven bistable systems, quantized transport and electron liquids are also covered in detail. Graduate students as well as newcomers to this exciting and expanding field will find this work useful to adopt the necessary theory and overview required to go deeper into the original literature and to carry out research.
Author : Piotr Garbaczewski
Publisher : Springer Science & Business Media
ISBN 13 : 3540461221
Total Pages : 516 pages
Book Rating : 4.5/5 (44 download)
Download or read book Dynamics of Dissipation written by Piotr Garbaczewski and published by Springer Science & Business Media. This book was released on 2007-08-04 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of lectures treats the dynamics of open systems with a strong emphasis on dissipation phenomena related to dynamical chaos. This research area is very broad, covering topics such as nonequilibrium statistical mechanics, environment-system coupling (decoherence) and applications of Markov semi-groups to name but a few. The book addresses not only experienced researchers in the field but also nonspecialists from related areas of research, postgraduate students wishing to enter the field and lecturers searching for advanced textbook material.
Author : Ulrich Weiss
Publisher : World Scientific
ISBN 13 : 9814374911
Total Pages : 587 pages
Book Rating : 4.8/5 (143 download)
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 -- originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions -- 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.
Author : Jean-Claude Gay
Publisher : CRC Press
ISBN 13 : 9782881244827
Total Pages : 386 pages
Book Rating : 4.2/5 (448 download)
Download or read book Irregular Atomic Systems and Quantum Chaos written by Jean-Claude Gay and published by CRC Press. This book was released on 1992 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the study of irregular behavior in few-body systems, with emphasis on the aspects of atomic physics. Areas covered include the atom in a magnetic field, microwave ionization of Rydberg atoms, and quasi-Wigner crystals in ion traps. All but one of the papers first appeared in volume 25 of the journal Comments on atomic and molecular physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : V. M. (Nitant) Kenkre
Publisher : Springer Nature
ISBN 13 : 3030948110
Total Pages : 328 pages
Book Rating : 4.0/5 (39 download)
Download or read book Interplay of Quantum Mechanics and Nonlinearity written by V. M. (Nitant) Kenkre and published by Springer Nature. This book was released on 2022-03-26 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study of the discrete nonlinear Schrödinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and Bose-Einstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrier-phonon interactions and Bose-Einstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader’s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and low-temperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics.
Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author : G. Casati
Publisher : Elsevier
ISBN 13 : 1483290328
Total Pages : 437 pages
Book Rating : 4.4/5 (832 download)
Download or read book Quantum Chaos written by G. Casati and published by Elsevier. This book was released on 2015-08-11 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of quantum systems which are chaotic in the classical limit (quantum chaos or quantum chaology) is a very new field of research. Not long ago, it was still considered as an esoteric subject, however this attitude changed radically when it was realized that this subject is relevant to many of the more mature branches of physics. This book presents the accumulated knowledge available up until now and at the same time introduces topics which are being intensively studied at present. Their relevance to other fields such as condensed matter, atomic and nuclear physics is also discussed. The lectures have been divided into two rough categories - background and advanced lectures.
Author :
Publisher :
ISBN 13 :
Total Pages : 1512 pages
Book Rating : 4.3/5 (97 download)
Download or read book Physical Review written by and published by . This book was released on 2000-09 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Peter Breuer
Publisher : Oxford University Press, USA
ISBN 13 : 9780198520634
Total Pages : 648 pages
Book Rating : 4.5/5 (26 download)
Download or read book The Theory of Open Quantum Systems written by Heinz-Peter Breuer and published by Oxford University Press, USA. This book was released on 2002 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 quantum mechanics 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 the study 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 laser cooling 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 examples from 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 of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.
Author : Daniel M. Dubois
Publisher :
ISBN 13 : 9782960026238
Total Pages : 438 pages
Book Rating : 4.0/5 (262 download)
Download or read book CASYS written by Daniel M. Dubois and published by . This book was released on 2001 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ying-Cheng Lai
Publisher : Springer Science & Business Media
ISBN 13 : 144196987X
Total Pages : 499 pages
Book Rating : 4.4/5 (419 download)
Download or read book Transient Chaos written by Ying-Cheng Lai and published by Springer Science & Business Media. This book was released on 2011-02-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
Author : Vadim Semenovich Anishchenko
Publisher : World Scientific
ISBN 13 : 9789810221423
Total Pages : 410 pages
Book Rating : 4.2/5 (214 download)
Download or read book Dynamical Chaos written by Vadim Semenovich Anishchenko and published by World Scientific. This book was released on 1995 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
Author : Giulio Casati
Publisher : IOS Press
ISBN 13 : 9784274903663
Total Pages : 554 pages
Book Rating : 4.9/5 (36 download)
Download or read book New Directions in Quantum Chaos written by Giulio Casati and published by IOS Press. This book was released on 2000 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Giulio Casati
Publisher : IOS Press
ISBN 13 : 9781586036607
Total Pages : 650 pages
Book Rating : 4.0/5 (366 download)
Download or read book Quantum Computers, Algorithms, and Chaos written by Giulio Casati and published by IOS Press. This book was released on 2006 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Information Processing and Communication (QIPC) has the potential to revolutionize many areas of science and technology. This book covers the following topics: introduction to quantum computing; quantum logic, information and entanglement; quantum algorithms; error-correcting codes for quantum computations; quantum communication; and more."
