The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups

DOI10.1142/S0219025798000302zbMath0923.46073OpenAlexW2171595061MaRDI QIDQ4236706

Franco Fagnola, Rolando Rebolledo Berroeta

Publication date: 28 March 1999

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

Full work available at URL: https://doi.org/10.1142/s0219025798000302

zbMATH Keywords

asymptotic behaviorconditional expectationquantum dynamical semigroup\(w^*\)-convergencefaithful normal stationary stateLindblad-Davies generator

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50)

Related Items (14)

Markov shift in non-commutative probability. ⋮ Decomposition and Classification of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case ⋮ A Markov–Dobrushin Inequality for Quantum Channels ⋮ Are sufficient conditions for conservativity of minimal quantum semigroups necessary? ⋮ ALGEBRAIC CONDITIONS FOR CONVERGENCE OF A QUANTUM MARKOV SEMIGROUP TO A STEADY STATE ⋮ TWO-PHOTON ABSORPTION AND EMISSION PROCESS ⋮ A Survey on Invariance and Ergodicity of Quantum Markov Semigroups ⋮ Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case ⋮ THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR ⋮ The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators ⋮ THE ASYMMETRIC EXCLUSION QUANTUM MARKOV SEMIGROUP ⋮ Recurrence and Transience of Quantum Markov Semigroups ⋮ A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semigroups ⋮ GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS

Cites Work

• Generators of dynamical semigroups
• On the generators of quantum dynamical semigroups
• Quantum dynamical semigroups and the neutron diffusion equation
• Sufficient conditions for conservativity of quantum dynamical semigroups
• On the structure of covariant dynamical semigroups

This page was built for publication: The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups