On the existence of stationary states for quantum dynamical semigroups
From MaRDI portal
Publication:2774836
DOI10.1063/1.1340870zbMath1013.81031OpenAlexW1964281470MaRDI QIDQ2774836
Franco Fagnola, Rolando Rebolledo Berroeta
Publication date: 26 February 2002
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/172684
Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Quantum optics (81V80) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)
Related Items (28)
Markov shift in non-commutative probability. ⋮ Mathematical models of Markovian dephasing ⋮ Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ⋮ Construction of some quantum stochastic operator cocycles by the semigroup method ⋮ Subharmonic projections for a quantum Markov semigroup ⋮ Regularity of solutions to quantum master equations: A stochastic approach ⋮ Asymptotics of quantum channels ⋮ On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures ⋮ Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions ⋮ Weak ergodicity of nonhomogeneous Markov chains on noncommutative \(L^1\)-spaces ⋮ Uniform ergodicities of Markov semigroups on abstract states spaces ⋮ REMARKS ON SUFFICIENT CONDITIONS FOR CONSERVATIVITY OF MINIMAL QUANTUM DYNAMICAL SEMIGROUPS ⋮ Uniform ergodicity of Lotz-Räbiger nets of Markov operators on abstract state spaces ⋮ On mixing and completely mixing properties of positive 𝐿¹-contractions of finite von Neumann algebras ⋮ Decomposition of quantum Markov chains and its applications ⋮ THE WIGNER–FOKKER–PLANCK EQUATION: STATIONARY STATES AND LARGE TIME BEHAVIOR ⋮ Universal preparability of states and asymptotic completeness ⋮ A View on Decoherence Via Master Equations ⋮ A note on noncommutative unique ergodicity and weighted means ⋮ Relative ergodic properties of C*-dynamical systems ⋮ The Dobrushin ergodicity coefficient and the ergodicity of noncommutative Markov chains ⋮ Quantum dynamics of a resonator coupled to a SET ⋮ Uniform ergodicities and perturbation bounds of Markov chains on base norm spaces ⋮ Repeated interaction processes in the continuous-time limit, applied to quadratic fermionic systems ⋮ The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators ⋮ Stability analysis of quantum systems: a Lyapunov criterion and an invariance principle ⋮ Convergence to pure steady states of linear quantum systems ⋮ Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base
Cites Work
This page was built for publication: On the existence of stationary states for quantum dynamical semigroups
