Quantum dynamical semigroups and stability

A one parameter semigroup of maps is said to be stable if it eventually decays to zero. Generally different topologies for convergence to zero give rise to different notions of stability. For Quantum Dynamical Semigroups (QDS), conservativity and stability may be thought of as exact opposites of eac...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2022-12, Vol.516 (1), p.126492, Article 126492
Main Authors: Kumar, Dharmendra, Sinha, Kalyan B., Srivastava, Sachi
Format: Article
Language:English
Subjects:
Conservativity
Quantum dynamical semigroups
Stability
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A one parameter semigroup of maps is said to be stable if it eventually decays to zero. Generally different topologies for convergence to zero give rise to different notions of stability. For Quantum Dynamical Semigroups (QDS), conservativity and stability may be thought of as exact opposites of each other. We derive some conditions for stability of a QDS and examine the interplay between the necessary and sufficient conditions for conservativity and stability. Some perturbation results are also obtained.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126492