Generators of KMS Symmetric Markov Semigroups on B(h) Symmetry and Quantum Detailed Balance
We find the structure of generators of norm continuous quantum Markov semigroups on B(h) that are symmetric with respect to the scalar product tr(ρ^{1/2}xρ^{1/2}y) induced by a faithful normal invariant state invariant state ρand 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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