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- W9580610 abstract "Given a quantum Markov semigroup (T t ) t≥o on B (h), with a faithful normal invariant state ρ, we associate to it the semigroup (T t ) t≥o on Hilbert-Schmidt operators on h (the L 2 (ρ) space) defined by (T t (ρ 1/4xρ 1/4) = ρ 1/4 T t (x)ρ 1/4. This allows us to use spectral theory to study the infinitesimal generator of (T t ) t≥o and deduce information on the speed of convergence to equilibrium of the given semigroup. We apply this idea to show that some quantum Markov semigroups related to birth-and-death processes converge to equilibrium exponentially rapidly in L 2 (p). KeywordsInvariant StateContinuous SemigroupInfinitesimal GeneratorMarkov SemigroupDetailed Balance ConditionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W9580610 created "2016-06-24" @default.
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- W9580610 date "2000-01-01" @default.
- W9580610 modified "2023-09-24" @default.
- W9580610 title "Exponential L 2-Convergence of Some Quantum Markov Semigroups Related to Birth-and-Death Processes" @default.
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- W9580610 doi "https://doi.org/10.1007/978-1-4612-1372-7_1" @default.
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