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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...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
1998
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevE.58.196 http://cds.cern.ch/record/338175 |
_version_ | 1780891375206662144 |
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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 |
record_format | invenio |
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 |