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Dynamics of a Simple Quantum System in a Complex Environment

We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective stochastic models which emerge from random matrix theory. Usin...

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Detalles Bibliográficos
Autores principales: Bulgac, A, Dang, G D, Kusnezov, D
Lenguaje:eng
Publicado: 1998
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevE.58.196
http://cds.cern.ch/record/338175
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author Bulgac, A
Dang, G D
Kusnezov, D
author_facet Bulgac, A
Dang, G D
Kusnezov, D
author_sort Bulgac, A
collection CERN
description We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective stochastic models which emerge from random matrix theory. Using the Feynman-Vernon path integral formalism, we derive the influence functional and obtain either analytical or numerical solutions for the time evolution of the entire quantum system. We discuss thoroughly the structure of the solutions for some representative cases and make connections to well known limiting results, particularly to Brownian motion, Kramers classical limit and the Caldeira-Leggett approach.
id cern-338175
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1998
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spelling cern-3381752019-09-30T06:29:59Zdoi:10.1103/PhysRevE.58.196http://cds.cern.ch/record/338175engBulgac, ADang, G DKusnezov, DDynamics of a Simple Quantum System in a Complex EnvironmentNuclear Physics - TheoryWe present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective stochastic models which emerge from random matrix theory. Using the Feynman-Vernon path integral formalism, we derive the influence functional and obtain either analytical or numerical solutions for the time evolution of the entire quantum system. We discuss thoroughly the structure of the solutions for some representative cases and make connections to well known limiting results, particularly to Brownian motion, Kramers classical limit and the Caldeira-Leggett approach.nucl-th/9711021oai:cds.cern.ch:3381751998
spellingShingle Nuclear Physics - Theory
Bulgac, A
Dang, G D
Kusnezov, D
Dynamics of a Simple Quantum System in a Complex Environment
title Dynamics of a Simple Quantum System in a Complex Environment
title_full Dynamics of a Simple Quantum System in a Complex Environment
title_fullStr Dynamics of a Simple Quantum System in a Complex Environment
title_full_unstemmed Dynamics of a Simple Quantum System in a Complex Environment
title_short Dynamics of a Simple Quantum System in a Complex Environment
title_sort dynamics of a simple quantum system in a complex environment
topic Nuclear Physics - Theory
url https://dx.doi.org/10.1103/PhysRevE.58.196
http://cds.cern.ch/record/338175
work_keys_str_mv AT bulgaca dynamicsofasimplequantumsysteminacomplexenvironment
AT danggd dynamicsofasimplequantumsysteminacomplexenvironment
AT kusnezovd dynamicsofasimplequantumsysteminacomplexenvironment