THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP

DOI10.1142/S0219025709003781zbMath1186.46071MaRDI QIDQ3643562

Leopoldo Pantaleón-Martínez, Roberto Quezada

Publication date: 9 November 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

asymmetric exclusion processDirichlet forminvariant statequantum dynamical semigroupquantum detailed balance

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Continuous-time Markov processes on discrete state spaces (60J27) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (7)

Quantum stochastic cocycles and completely bounded semigroups on operator spaces. II ⋮ Quantum Markov semigroup for open quantum system interacting with quantum Bernoulli noises ⋮ Non-equilibrium steady states of a Markov generator of weak coupling limit type modeling absorption-emission of m and n photons ⋮ SUFFICIENT CONDITION FOR THE EXISTENCE OF INVARIANT STATES FOR THE ASYMMETRIC EXCLUSION QMS ⋮ An algebraic construction of quantum flows with unbounded generators ⋮ Quantum Markov semigroups constructed from quantum Bernoulli noises ⋮ Weighted number operators on Bernoulli functionals and quantum exclusion semigroups

Cites Work

• On viscosity and fluctuation-dissipation in exclusion processes
• Long-time asymptotic properties of dynamical semigroups on W*-algebras
• Quantum dynamical semigroups and approach to equilibrium
• The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups
• TWO-PHOTON ABSORPTION AND EMISSION PROCESS
• Unnamed Item

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