The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups
1998 ◽
Vol 01
(04)
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pp. 561-572
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Keyword(s):
This paper deals with the asymptotic behavior of a quantum dynamical semigroup [Formula: see text] acting on the algebra of all linear bounded operators on a given Hilbert space. In practice, all these semigroups have a generator which can be written in a well-known form named after Lindblad and Davies. If the semigroup has a faithful normal stationary state ρ, necessary and sufficient conditions are derived for the w*-convergence of [Formula: see text] to [Formula: see text], where [Formula: see text] is the conditional expectation of an element X onto the subalgebra of fixed points. Our main results are expressed in terms of the Lindblad–Davies generator .
1999 ◽
Vol 02
(02)
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pp. 221-239
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1992 ◽
Vol 04
(spec01)
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pp. 15-47
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2005 ◽
Vol 17
(07)
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pp. 745-768
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2017 ◽
Vol 29
(04)
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pp. 1750012
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2010 ◽
Vol 13
(01)
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pp. 65-85
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1978 ◽
Vol 31
(4)
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pp. 845-857
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Keyword(s):
2013 ◽
Vol 16
(01)
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pp. 1350004
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