Generators of KMS Symmetric Markov Semigroups on B(h) Symmetry and Quantum Detailed Balance
arXiv:0908.0967 · doi:10.1007/s00220-010-1011-1
Abstract
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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