Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0011097 · Physica A Statistical Mechanics and its Applications

Stochastic description for open quantum systems

Esteban Calzetta, Albert Roura, Enric Verdaguer

Published Feb 12, 2003• 97 citations
arXivHTMLPDF
DOI
10.1016/s0378-4371(02)01521-2

Related papers

Stochastic description of quantum open systems: Formal solution and strong dissipation limit

Jiushu Shao

Chemical Physics•Sep 7, 2005•28 citations

Open Quantum Systems: A Stochastic Perspective

Heiko Appel

Lecture notes in physics•Jan 1, 2012•1 citation

The non-Markovian stochastic Schrödinger equation for open systems

Lajos Diósi, Walter T. Strunz

We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation. Moreover, it unifies two recent independent attempts towards a stochastic description of non-Markovian open systems, based on path integrals on the one hand and coherent states on the other. The latter approach utilizes the analytical properties of coherent states and enables a microscopic interpretation of the stochastic states. The alternative first approach is based on the general description of open systems using path integrals as originated by Feynman and Vernon.

•Jan 1, 1997•143 citations

Stochastic pure state representation for open quantum systems

L. Diósi

arXiv:1609.09636•Physics Letters A•Mar 1, 1986•100 citations

ASPECTS OF OPEN QUANTUM SYSTEM DYNAMICS Decoherence and a stochastic Schrodinger equation approach

Walter T. Strunz

The interaction of a quantum system with a many degree o ff reedom environment entails damping and the loss of quantum coherence. In these two lectures we focus on two aspects of open quantum system dynamics. First, we present decoherence as a dynamical phenomenon and determine the corresponding time scales, discuss an experiment and the nature of robust states, and mention universal properties of short- time decoherence of macroscopic superpositions. Secondly, in analogy to the classical description of open systems in terms of Langevin equations, we present a stochastic approach to open quantum system dynamics in terms of a stochastic Schrodinger equation. We give a microscopic ¨ derivation that allows us to generalize the stochastic approach to non- Markovian situations. We discuss a convolutionless formulation of our theory and finally, we focus on the quantised version of Brownian motion as an often-employed example.

•Jan 1, 2005•0 citations

Stochastic theory of non-Markovian open quantum system

Xinyu Zhao

•Jan 1, 2014•0 citations
We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation. Moreover, it unifies two recent independent attempts towards a stochastic description of non-Markovian open systems, based on path integrals on the one hand and coherent states on the other. The latter approach utilizes the analytical properties of coherent states and enables a microscopic interpretation of the stochastic states. The alternative first approach is based on the general description of open systems using path integrals as originated by Feynman and Vernon.
The interaction of a quantum system with a many degree o ff reedom environment entails damping and the loss of quantum coherence. In these two lectures we focus on two aspects of open quantum system dynamics. First, we present decoherence as a dynamical phenomenon and determine the corresponding time scales, discuss an experiment and the nature of robust states, and mention universal properties of short- time decoherence of macroscopic superpositions. Secondly, in analogy to the classical description of open systems in terms of Langevin equations, we present a stochastic approach to open quantum system dynamics in terms of a stochastic Schrodinger equation. We give a microscopic ¨ derivation that allows us to generalize the stochastic approach to non- Markovian situations. We discuss a convolutionless formulation of our theory and finally, we focus on the quantised version of Brownian motion as an often-employed example.