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Letters in Mathematical Physics

, Volume 80, Issue 2, pp 101–113 | Cite as

Return to Thermal Equilibrium

  • Dominique Fellah
Article

Abstract

We study a class of quantum dynamical semigroups on \(\fancyscript{B}({\mathfrak{H}})\) with Lindbladian generators. We give new conditions in order to easily verify that a quantum dynamical system returns to thermal equilibrium. In the classical picture of the interacting -System+Reservoir-, our result can physically be interpreted as follows : the transition may be sufficient so that each eigenvalue energy state of the system communicates with another.

Keywords

Equilibrium state quantum dynamical system KMS-condition 

Mathematics Subject Classification (2000)

81V15 47D03 

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Copyright information

© Springer 2007

Authors and Affiliations

  1. 1.Saint-JulienFrance

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