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Non Markovian Quantum Brownian Motion


Non Markovian Quantum Brownian Motion
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Non Markovian Quantum Brownian Motion


Non Markovian Quantum Brownian Motion
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Author : Nicholas Werren
language : en
Publisher:
Release Date : 2020

Non Markovian Quantum Brownian Motion written by Nicholas Werren and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.




Non Markovian Quantum Brownian Motion


Non Markovian Quantum Brownian Motion
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Author : A. O. Bolivar
language : en
Publisher:
Release Date : 2015-05-21

Non Markovian Quantum Brownian Motion written by A. O. Bolivar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-21 with categories.




Coherence Dynamics In Non Markovian Quantum Brownian Motion


Coherence Dynamics In Non Markovian Quantum Brownian Motion
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Author : Mehsati Sapphire Lally
language : en
Publisher:
Release Date : 2022

Coherence Dynamics In Non Markovian Quantum Brownian Motion written by Mehsati Sapphire Lally and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.




Non Markovian Quantum Brownian Motion Of A Harmonic Oscillator


Non Markovian Quantum Brownian Motion Of A Harmonic Oscillator
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Author :
language : en
Publisher:
Release Date : 1994

Non Markovian Quantum Brownian Motion Of A Harmonic Oscillator written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.


We apply the density-matrix method to the study of quantum Brownian motion of a harmonic oscillator coupled to a heat bath, a system investigated previously by Caldeira and Leggett using a different method. Unlike the earlier work, in our derivation of the master equation the non-Markovian terms are maintained. Although the same model of interaction is used, discrepancy is found between their results and our equation in the Markovian limit. We also point out that the particular interaction model used by both works cannot lead to the phenomenological generalized Langevin theory of Kubo.



Quantum Brownian Motion Revisited


Quantum Brownian Motion Revisited
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Author : Aniello Lampo
language : en
Publisher: Springer
Release Date : 2019-04-23

Quantum Brownian Motion Revisited written by Aniello Lampo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.


Quantum Brownian motion represents a paradigmatic model of open quantum system, namely a system inextricably coupled to the surrounding environment. Such a model is largely used in physics, for instance in quantum foundations to approach in a quantitative manner the quantum-to-classical transition, but also for more practical purposes as the estimation of decoherence in quantum optics experiments. This book presents the main techniques aimed to treat the dynamics of the quantum Brownian particle: Born-Markov master equation, Lindblad equation and Heisenberg equations formalism. Particular attention is given to the interaction between the particle and the bath depends non-linearly on the position of the former. This generalization corresponds to the case in which the bath is not homogeneous. An immediate application is the Bose polaron, specifically an impurity embedded in an ultracold gas.



Quantum Brownian Motion In C Numbers


Quantum Brownian Motion In C Numbers
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Author : Debashis Barik
language : en
Publisher: Nova Biomedical Books
Release Date : 2005

Quantum Brownian Motion In C Numbers written by Debashis Barik and has been published by Nova Biomedical Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Brownian movements categories.


The theory of Brownian motion as proposed by Einstein is now hundred years old. Over the span of a century the theory has grown in various directions to understand stochastic processes in physics, chemistry and biology. An important endeavour in this direction is the quantisation of Brownian motion. While the early development of quantum optics initiated in sixties was based on density operator, noise operator and master equation methods primarily within weak-coupling and Markov approximations, path integral approach to quantum Brownian motion attracted wide attention in early eighties. Although this development had widened the scope of condensed matter physics and chemical physics significantly so far as the large coupling limit and finite correlation time of the noise processes are concerned several problems still need to be addressed. These include, for example, search for quantum analogues of equations of motion for true probability distribution functions, treatment of rate processes in the deep tunnelling regimes where semi-classical approximations are untenable, development of simpler numerical schemes for calculation of rate of activated processes and others. Keeping in view of these aspects it is worthwhile to ask how to extend classical theory of Brownian motion to quantum domain for arbitrary friction and temperature down to vacuum limit. Based on a coherent state representation of noise operators and Wigner canonical thermal distribution for harmonic bath oscillators we have recently developed a scheme for quantum Brownian motion in terms of c-number generalised quantum Langevin equation. The approach allows us to use classical methods of non-Markovian dynamics to study various quantum stochastic processes.



Modelling Non Markovian Quantum Systems Using Tensor Networks


Modelling Non Markovian Quantum Systems Using Tensor Networks
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Author : Aidan Strathearn
language : en
Publisher: Springer Nature
Release Date : 2020-08-31

Modelling Non Markovian Quantum Systems Using Tensor Networks written by Aidan Strathearn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-31 with Science categories.


This thesis presents a revolutionary technique for modelling the dynamics of a quantum system that is strongly coupled to its immediate environment. This is a challenging but timely problem. In particular it is relevant for modelling decoherence in devices such as quantum information processors, and how quantum information moves between spatially separated parts of a quantum system. The key feature of this work is a novel way to represent the dynamics of general open quantum systems as tensor networks, a result which has connections with the Feynman operator calculus and process tensor approaches to quantum mechanics. The tensor network methodology developed here has proven to be extremely powerful: For many situations it may be the most efficient way of calculating open quantum dynamics. This work is abounds with new ideas and invention, and is likely to have a very significant impact on future generations of physicists.



Brownian Motion


Brownian Motion
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Author : Robert M. Mazo
language : en
Publisher: OUP Oxford
Release Date : 2008-10-23

Brownian Motion written by Robert M. Mazo and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-23 with Science categories.


Brownian motion - the incessant motion of small particles suspended in a fluid - is an important topic in statistical physics and physical chemistry. This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistical mechanics. A number of new applications of these descriptions to physical and chemical processes, as well as statistical mechanical derivations and the mathematical background are discussed in detail. Graduate students, lecturers, and researchers in statistical physics and physical chemistry will find this an interesting and useful reference work.



Open Quantum Systems


Open Quantum Systems
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Author : Subhashish Banerjee
language : en
Publisher: Springer
Release Date : 2018-11-01

Open Quantum Systems written by Subhashish Banerjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Science categories.


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.



Quantum Classical Correspondence


Quantum Classical Correspondence
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Author : A. O. Bolivar
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Quantum Classical Correspondence written by A. O. Bolivar 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 2013-04-09 with Science categories.


At what level of physical existence does "quantum behavior" begin? How does it develop from classical mechanics? This book addresses these questions and thereby sheds light on fundamental conceptual problems of quantum mechanics. It elucidates the problem of quantum-classical correspondence by developing a procedure for quantizing stochastic systems (e.g. Brownian systems) described by Fokker-Planck equations. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Perhaps equally important, conceptual problems concerning the relationship between classical and quantum physics are identified and discussed. Graduate students and physical scientists will find this an accessible entrée to an intriguing and thorny issue at the core of modern physics.