Quantum Brownian Motion Revisited
DOWNLOAD
Download Quantum Brownian Motion Revisited PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Quantum Brownian Motion Revisited book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Quantum Brownian Motion Revisited
DOWNLOAD
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.
Solutions To Master Equations Of Quantum Brownian Motion In A General Environment With External Force
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2008
Solutions To Master Equations Of Quantum Brownian Motion In A General Environment With External Force written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
We revisit the model of a system made up of a Brownian quantum oscillator linearly coupled to an environment made up of many quantum oscillators at finite temperature. We show that the HPZ master equation for the reduced density matrix derived earlier [B.L. Hu, J.P. Paz, Y. Zhang, Phys. Rev. D 45, 2843 (1992)] has incorrectly specified coefficients for the case of nonlocal dissipation. We rederive the QBM master equation, correctly specifying all coefficients, and determine the position uncertainty to be free of excessive cutoff sensitivity. Our coefficients and solutions are reduced entirely to contour integration for analytic spectra at arbitrary temperature, coupling strength, and cut-off. As an illustration we calculate the master equation coefficients and solve the master equation for ohmic coupling (with finite cutoff) and example supra-ohmic and sub-ohmic spectral densities. We determine the effect of an external force on the quantum oscillator and also show that our representation of the master equation and solutions naturally extends to a system of multiple oscillators bilinearly coupled to themselves and the bath in arbitrary fashion. This produces a formula for investigating the standard quantum limit which is central to addressing many theoretical issues in macroscopic quantum phenomena and experimental concerns related to low temperature precision measurements. We find that in a dissipative environment, all initial states settle down to a Gaussian density matrix whose covariance is determined by the thermal reservoir and whose mean is determined by the external force. We specify the thermal covariance for the spectral densities we explore.
A Remark On Quantum Brownian Motion
DOWNLOAD
Author : Joachim Messer
language : en
Publisher:
Release Date : 2008
A Remark On Quantum Brownian Motion written by Joachim Messer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Fundamental Aspects Of Quantum Brownian Motion
DOWNLOAD
Author : Peter Hänggi
language : en
Publisher:
Release Date : 2006
Fundamental Aspects Of Quantum Brownian Motion written by Peter Hänggi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Non Markovian Quantum Brownian Motion
DOWNLOAD
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.
Non Markovian Quantum Brownian Motion
DOWNLOAD
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.
Dynamical Theories Of Brownian Motion
DOWNLOAD
Author : Edward Nelson
language : en
Publisher: Princeton University Press
Release Date : 1967-02-21
Dynamical Theories Of Brownian Motion written by Edward Nelson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-02-21 with Mathematics categories.
These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.
Quantum Brownian Motion By Path Integral Mothod
DOWNLOAD
Author : Supitch Khemmani
language : en
Publisher:
Release Date : 1999
Quantum Brownian Motion By Path Integral Mothod written by Supitch Khemmani and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Brownian motion processes categories.
Applications Of Fractional Calculus To Modeling In Dynamics And Chaos
DOWNLOAD
Author : J. F. Gómez-Aguilar
language : en
Publisher: CRC Press
Release Date : 2022-09-29
Applications Of Fractional Calculus To Modeling In Dynamics And Chaos written by J. F. Gómez-Aguilar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences
The Binary Collision Model For Quantum Brownian Motion
DOWNLOAD
Author : Stefan Ivanov Tsonchev
language : en
Publisher:
Release Date : 1997
The Binary Collision Model For Quantum Brownian Motion written by Stefan Ivanov Tsonchev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.