Structure of generic quantum Markov semigroup-Reference-Cited by-同舟云学术

Structure of generic quantum Markov semigroup

Published:2017-06 Issue:02 Volume:20 Page:1750012
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Carbone R.¹,Sasso E.²,Umanità V.²

Affiliation:

1. Dipartimento di Matematica dell’Università di Pavia, via Ferrata 1, 27100 Pavia, Italy

2. Dipartimento di Matematica dell’Università di Genova, via Dodecaneso 35, 16146 Genova, Italy

Abstract

In this paper, we study some relevant properties of generic quantum Markov semigroups, in particular related to their asymptotic behavior. We can describe the structure of the set of fixed points and of the invariant states in terms of the Hamiltonian’s spectrum and of the communication classes of the classical Markov process associated with the diagonal part of the semigroup. Moreover we study the decoherence-free algebra and we complete the characterization of environmental decoherence for a generic quantum Markov semigroup.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025717500126

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