The quantum weak coupling limit. II: Langevin equation and finite temperature case
type: Item
instance of: scholarly article
title: The quantum weak coupling limit. II: Langevin equation and finite temperature case
zbMATH Open document ID: 0846.60098
author: L. Accardi
author: Alberto Frigerio
author: Yun Gang Lu
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1996-07-08T00:00:00Z
review text: Summary: We complete the program started in [authors, Commun. Math. Phys. 131, No. 3, 537-570 (1990; Zbl 0703.60096)] by proving that, in the weak coupling limit, the matrix elements, in the collective coherent vectors, of the Heisenberg evolved of an observable of a system coupled to a quasi-free reservoir through a laser type interaction, converge to the matrix elements of a quantum stochastic process satisfying a quantum Langevin equation driven by a quantum Brownian motion. Our results apply to an arbitrary quasi-free reservoir so, in particular, the finite temperature case is included.
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 81S20
zbMATH DE Number: 878489
zbMATH Keywords: quantum stochastic process
zbMATH Keywords: quantum Langevin equation
zbMATH Keywords: quantum Brownian motion
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195163914
OpenAlex ID: W2079418044
DOI: 10.2977/PRIMS/1195163914
description: scientific article; zbMATH DE number 878489