Stochastic Evolution Of Quantum States In Open Systems And In Measurement Processes
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Stochastic Evolution Of Quantum States In Open Systems And In Measurement Processes
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Author : Lajos Diosi
language : en
Publisher: World Scientific
Release Date : 1994-03-29
Stochastic Evolution Of Quantum States In Open Systems And In Measurement Processes written by Lajos Diosi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-29 with categories.
Due to the probabilistic interpretation of quantum mechanics, quantum state evolution has both dynamic and stochastic features. Various systems show both features simultaneously and permanently. This workshop was intended to discuss the common trends, in measurement theory, statistical physics, quantum optics and cosmology.This proceedings volume contains most of the invited talks and may offer an insight into the current variety of related ideas.
Open Systems And Measurement In Relativistic Quantum Theory
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Author : Heinz-Peter Breuer
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-21
Open Systems And Measurement In Relativistic Quantum Theory written by Heinz-Peter Breuer 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 1999-06-21 with Science categories.
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.
Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-21
Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli 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 2009-07-21 with Language Arts & Disciplines categories.
This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output.
Open Quantum Systems Iii
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Author : Stéphane Attal
language : en
Publisher: Springer
Release Date : 2006-08-18
Open Quantum Systems Iii written by Stéphane Attal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-18 with Mathematics categories.
This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics.
Einstein Bohr And The Quantum Dilemma
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Author : Andrew Whitaker
language : en
Publisher: Cambridge University Press
Release Date : 1996
Einstein Bohr And The Quantum Dilemma written by Andrew Whitaker 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 1996 with Biography & Autobiography categories.
This book explores the debate between Einstein and Bohr in the 1920s and 1930s about their interpretations of the quantum theory.
Quantum Many Body Physics In Open Systems Measurement And Strong Correlations
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Author : Yuto Ashida
language : en
Publisher: Springer Nature
Release Date : 2020-01-06
Quantum Many Body Physics In Open Systems Measurement And Strong Correlations written by Yuto Ashida and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-06 with Science categories.
This book studies the fundamental aspects of many-body physics in quantum systems open to an external world. Recent remarkable developments in the observation and manipulation of quantum matter at the single-quantum level point to a new research area of open many-body systems, where interactions with an external observer and the environment play a major role. The first part of the book elucidates the influence of measurement backaction from an external observer, revealing new types of quantum critical phenomena and out-of-equilibrium dynamics beyond the conventional paradigm of closed systems. In turn, the second part develops a powerful theoretical approach to study the in- and out-of-equilibrium physics of an open quantum system strongly correlated with an external environment, where the entanglement between the system and the environment plays an essential role. The results obtained here offer essential theoretical results for understanding the many-body physics of quantum systems open to an external world, and can be applied to experimental systems in atomic, molecular and optical physics, quantum information science and condensed matter physics.
Foundations And Interpretation Of Quantum Mechanics In The Light Of A Critical Historical Analysis Of The Problems And Of A Synthesis Of The Results
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Author : Gennaro Auletta
language : en
Publisher: World Scientific
Release Date : 2000-06-15
Foundations And Interpretation Of Quantum Mechanics In The Light Of A Critical Historical Analysis Of The Problems And Of A Synthesis Of The Results written by Gennaro Auletta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-15 with Science categories.
The aim of this book is twofold: to provide a comprehensive account of the foundations of the theory and to outline a theoretical and philosophical interpretation suggested from the results of the last twenty years.There is a need to provide an account of the foundations of the theory because recent experience has largely confirmed the theory and offered a wealth of new discoveries and possibilities. On the other side, the following results have generated a new basis for discussing the problem of the interpretation: the new developments in measurement theory; the experimental generation of “Schrödinger cats”; recent developments which allow, for the first time, the simultaneous measurement of complementary observables; quantum information processing, teleportation and computation.To accomplish this task, the book combines historical, systematic and thematic approaches.
Quantum Communication Computing And Measurement
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Author : Osamu Hirota
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Communication Computing And Measurement written by Osamu Hirota 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 2012-12-06 with Mathematics categories.
This volume contains the proceedings of the Third International Conference on Quantum Communication and Measurement. The series of international conferences on quantum communication and measurement was established to encourage scientists working in the interdisciplinary research fields of quantum communication science and technology. The first such conference, organized by C. Benjaballah and O. Hirota under the title "Quantum Aspects of Optical Communication," assembled approximately 80 researchers in Paris in 1990. The second conference, held in Nottingham in 1994, was organized by V. P. Belavkin, R. L. Hudson, and O. Hirota and attracted about 130 participants from 22 countries. The present conference, organized by O. Hirota, A. S. Holevo, C. M. Caves, H. P. Yuen, and L. Accardi, was heldSeptember 25-30, 1996, in Fuji-Hakone Land, Japan, andjnvolved about 120 researchers from 15 countries. The topics at this third conference included the foundations of quantum communi cation and information theory, quantum measurement theory, quantum cryptography and quantum computation, quantum devices and high-precision measurements, gener ation of nonclassical light, and atom optics. Special emphasis was placed on bringing together research workers in experimental and engineering fields of quantum commu nication and quantum computing and theoreticians working in quantum measurement and information theory. Nineteen plenary and parallel sessions and one poster ses sion were organized, at which a total of 82 papers were presented. Interesting and stimulating scientific discussions took place between and after sessions as well as in the evenings.
Open Quantum Systems Ii
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Author : Stéphane Attal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-07
Open Quantum Systems Ii written by Stéphane Attal 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 2006-06-07 with Mathematics categories.
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.
Stochastic Evolution Of Quantum States In Open Systems And In Measurement Processes
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Author : Lajos Diósi
language : en
Publisher:
Release Date : 1994
Stochastic Evolution Of Quantum States In Open Systems And In Measurement Processes written by Lajos Diósi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with SCIENCE categories.