Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States

DOI10.1142/S1230161221500013zbMath1480.81071OpenAlexW3198663297MaRDI QIDQ5013212

Damiano Poletti, Julián Agredo, Franco Fagnola

Publication date: 29 November 2021

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161221500013

zbMATH Keywords

Gaussianirreducibilityquantum Markov semigroupquasi-free semigroupGKSL generator

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Free semigroups, generators and relations, word problems (20M05) Markov semigroups and applications to diffusion processes (47D07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Open systems, reduced dynamics, master equations, decoherence (81S22) Bergman spaces and Fock spaces (30H20)

Related Items (7)

The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics ⋮ The decoherence-free subalgebra of Gaussian quantum Markov semigroups ⋮ Dynamics of moments and stationary states for GKSL equations of classical diffusion type ⋮ Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains ⋮ Higher order moments dynamics for some multimode quantum master equations ⋮ Characterization of Gaussian quantum Markov semigroups ⋮ On irreducibility of Gaussian quantum Markov semigroups

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