Generators of KMS Symmetric Markov Semigroups on {\mathcal{B}({\rm h})} Symmetry and Quantum Detailed Balance |
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Authors: | Franco Fagnola Veronica Umanità |
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Institution: | 1. Departiment of Mathematics, Politecnico di Milano, P. L. da Vinci 32, I-20133, Milano, Italy 2. Departiment of Mathematics, University of Genoa, V. Dodecaneso 35, I-16146, Genova, Italy
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Abstract: | We find the structure of generators of norm-continuous quantum Markov semigroups on B(h){\mathcal{B}({\rm h})} that are symmetric with respect to the scalar product tr (ρ
1/2
x*ρ
1/2
y) induced by a faithful normal invariant state ρ and satisfy two quantum generalisations of the classical detailed balance condition related with this non-commutative notion
of symmetry: the so-called standard detailed balance condition and the standard detailed balance condition with an antiunitary
time reversal. |
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Keywords: | |
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