Quantum stochastic processes: a case study

DOI10.1088/1742-5468/2011/04/P04016zbMath1456.81288arXiv1101.3472MaRDI QIDQ3301247

Denis Bernard, Michel Bauer

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3472

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Itô's stochastic calculus and Heisenberg commutation relations
• Markov quantum semigroups admit covariant Markov \(C^ *\)-dilations
• Markovian master equations
• On the generators of quantum dynamical semigroups
• The classical limit for quantum dynamical semigroups
• Introduction to Random Walks on Noncommutative Spaces
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
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