skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath

Abstract

The interrelationship between the non-Markovian stochastic Schroedinger equations and the corresponding non-Markovian master equations is investigated in the finite-temperature regimes. We show that the general finite-temperature non-Markovian trajectories can be used to derive the corresponding non-Markovian master equations. A simple, yet important solvable example is the well-known damped harmonic oscillator model in which a harmonic oscillator is coupled to a finite-temperature reservoir in the rotating-wave approximation. The exact convolutionless master equation for the damped harmonic oscillator is obtained by averaging the quantum trajectories, relying upon no assumption of coupling strength or time scale. The master equation derived in this way automatically preserves the positivity, Hermiticity, and unity.

Authors:
 [1]
  1. Rochester Theory Center for Optical Science and Engineering and Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
Publication Date:
OSTI Identifier:
20643721
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 69; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.69.062107; (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; COUPLING; HARMONIC OSCILLATOR MODELS; HARMONIC OSCILLATORS; HEAT; MARKOV PROCESS; OPTICS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TRAJECTORIES

Citation Formats

Ting, Yu. Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath. United States: N. p., 2004. Web. doi:10.1103/PhysRevA.69.062107.
Ting, Yu. Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath. United States. https://doi.org/10.1103/PhysRevA.69.062107
Ting, Yu. Tue . "Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath". United States. https://doi.org/10.1103/PhysRevA.69.062107.
@article{osti_20643721,
title = {Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath},
author = {Ting, Yu},
abstractNote = {The interrelationship between the non-Markovian stochastic Schroedinger equations and the corresponding non-Markovian master equations is investigated in the finite-temperature regimes. We show that the general finite-temperature non-Markovian trajectories can be used to derive the corresponding non-Markovian master equations. A simple, yet important solvable example is the well-known damped harmonic oscillator model in which a harmonic oscillator is coupled to a finite-temperature reservoir in the rotating-wave approximation. The exact convolutionless master equation for the damped harmonic oscillator is obtained by averaging the quantum trajectories, relying upon no assumption of coupling strength or time scale. The master equation derived in this way automatically preserves the positivity, Hermiticity, and unity.},
doi = {10.1103/PhysRevA.69.062107},
url = {https://www.osti.gov/biblio/20643721}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 69,
place = {United States},
year = {2004},
month = {6}
}