Input and output in damped quantum systems: quantum stochastic differential equations and the master equation

Quantum damping by coupling to a heat bath of harmonic oscillators is investigated theoretically, considering systems in which the system-bath interactions are linear in the bath operators, the bath spectrum is flat, the coupling constant is frequency-independent, and the rotating-wave approximation...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. A, General physics General physics, 1985-06, Vol.31 (6), p.3761-3774
Main Authors: GARDINER, C. W, COLLETT, M. J
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Quantum ensemble theory
Quantum statistical mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Quantum damping by coupling to a heat bath of harmonic oscillators is investigated theoretically, considering systems in which the system-bath interactions are linear in the bath operators, the bath spectrum is flat, the coupling constant is frequency-independent, and the rotating-wave approximation is applied. Quantum Langevin equations with Langevin forces as the field operators corresponding to the input modes are derived; the Planck-spectrum input field is replaced by a quantum Wiener process corresponding to quantum white noise, expressed in the form of Ito-type quantum stochastic differential equations (QSDEs); and master equations and their time-correlation functions are derived. Special consideration is given to the computation of multitime-ordered correlation functions, squeezed-white-noise input signals, and the relation of Ito-type QSDEs to Stratonovich-type QSDEs.
ISSN:0556-2791
DOI:10.1103/PhysRevA.31.3761