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Title: Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion

Abstract

Stochastic Schroedinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic Schroedinger equations may serve as a powerful tool for the derivation of convolutionless master equations for non-Markovian open quantum systems. The most interesting example is quantum Brownian motion (QBM) of a harmonic oscillator coupled to a heat bath of oscillators, one of the most employed exactly soluble models of open system dynamics. We show explicitly how to establish the direct connection between the exact convolutionless master equation of QBM and the corresponding convolutionless exact stochastic Schroedinger equation.

Authors:
 [1];  [2]
  1. Theoretische Quantendynamik, Physikalisches Institut, Universitaet Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg (Germany)
  2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
Publication Date:
OSTI Identifier:
20641110
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 69; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.69.052115; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; BROWNIAN MOVEMENT; HARMONIC OSCILLATORS; MARKOV PROCESS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TRAJECTORIES

Citation Formats

Strunz, Walter T, and Ting, Yu. Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.69.052115.
Strunz, Walter T, & Ting, Yu. Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion. United States. https://doi.org/10.1103/PhysRevA.69.052115
Strunz, Walter T, and Ting, Yu. Sat . "Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion". United States. https://doi.org/10.1103/PhysRevA.69.052115.
@article{osti_20641110,
title = {Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion},
author = {Strunz, Walter T and Ting, Yu},
abstractNote = {Stochastic Schroedinger equations for quantum trajectories offer an alternative and sometimes superior approach to the study of open quantum system dynamics. Here we show that recently established convolutionless non-Markovian stochastic Schroedinger equations may serve as a powerful tool for the derivation of convolutionless master equations for non-Markovian open quantum systems. The most interesting example is quantum Brownian motion (QBM) of a harmonic oscillator coupled to a heat bath of oscillators, one of the most employed exactly soluble models of open system dynamics. We show explicitly how to establish the direct connection between the exact convolutionless master equation of QBM and the corresponding convolutionless exact stochastic Schroedinger equation.},
doi = {10.1103/PhysRevA.69.052115},
url = {https://www.osti.gov/biblio/20641110}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 69,
place = {United States},
year = {2004},
month = {5}
}