Detailed balance, time reversal, and generators of quantum Markov semigroups
From MaRDI portal
Publication:635589
DOI10.1134/S0001434608070092zbMath1221.47080OpenAlexW2037372454MaRDI QIDQ635589
Franco Fagnola, Veronica Umanità
Publication date: 20 August 2011
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434608070092
time reversalquantum Markov semigroupantiunitary operatorLindblad representationquantum detailed balance
Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items
Linear response theory and entropic fluctuations in repeated interaction quantum systems ⋮ Entropy production of quantum Markov semigroup associated with open quantum walks on the periodic graphs ⋮ Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance ⋮ Quantum fluctuation relations for the Lindblad master equation ⋮ Entropy production along nonequilibrium quantum jump trajectories ⋮ Entropic fluctuations of quantum dynamical semigroups ⋮ A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS
Cites Work
- Unnamed Item
- Unnamed Item
- Markov dilations and quantum detailed balance
- Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
- On the generators of quantum dynamical semigroups
- On the detailed balance condition for non-Hamiltonian systems
- Quantum detailed balance and KMS condition
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- KMS-symmetric Markov semigroups
- GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS
- GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS
- TIME REFLECTED MARKOV PROCESSES
- DYNAMICAL DETAILED BALANCE AND LOCAL KMS CONDITION FOR NON-EQUILIBRIUM STATES
- Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case
- TWO-PHOTON ABSORPTION AND EMISSION PROCESS
