Stationary states of quantum dynamical semigroups

DOI10.1007/BF01196936zbMath0404.46050OpenAlexW2070212877MaRDI QIDQ1256700

Publication date: 1978

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196936

zbMATH Keywords

Conditional Expectation Von Neumann Algebra Fixed Point Set Dynamical Semigroup Normal Maps Quantum Dynamical Semigroups Quantum Measurement Process Stationary States Thermal Reservoirs

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Quantum equilibrium statistical mechanics (general) (82B10) States of selfadjoint operator algebras (46L30)

Related Items

Classification and decomposition of quantum Markov semigroups, Markov shift in non-commutative probability., Chaotic motion of the density operator for an exciton-photon system, THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS, Decomposition and Classification of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case, Mathematical models of Markovian dephasing, TIME REFLECTED MARKOV PROCESSES, An example of an infinite system with zero quantum dynamical entropy, On Thermal Stability of Topological Qubit in Kitaev's 4D Model, Balance between quantum Markov semigroups, On the application of Floquet theorem in development of time-dependent Lindbladians, Environment induced decoherence for Markovian evolutions, Ergodic projection for quantum dynamical semigroups, Spontaneous SU2(C) symmetry breaking in the ground states of quantum spin chain, Some asymptotic properties of $W^*$-dynamical systems, Subharmonic projections for a quantum Markov semigroup, LARGE DEVIATION GENERATING FUNCTION FOR CURRENTS IN THE PAULI–FIERZ MODEL, Long-lived mesoscopic entanglement between two damped infinite harmonic chains, Entanglement generation through Markovian feed-back in open two-qubit systems, Thermalization in Kitaev’s quantum double models via tensor network techniques, Quantum Markov semigroup for open quantum system interacting with quantum Bernoulli noises, Asymptotics of quantum channels, On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup, Covariant uniformly continuous quantum Markov semigroups, Three qubits in a symmetric environment: dissipatively generated asymptotic entanglement, Ground-state stabilization of quantum finite-level systems by dissipation, `Return to equilibrium' for weakly coupled quantum systems: a simple polymer expansion, Decoherence for quantum Markov semi-groups on matrix algebras, Long-time asymptotic properties of dynamical semigroups on W*-algebras, Some aspects of quantum information theory and their applications to irreversible processes, Generalized toric codes coupled to thermal baths, ALGEBRAIC CONDITIONS FOR CONVERGENCE OF A QUANTUM MARKOV SEMIGROUP TO A STEADY STATE, Translation invariant pure state on $\bigotimes _{\mathbb {Z}}M_d(\mathbb C)$ and Haag duality, Return to thermal equilibrium, Quantum dynamical semigroups and decoherence, Spectral theorem for the Lindblad equation for quadratic open fermionic systems, Properties of translationally invariant quantum-dynamical semigroups, OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT, Pure inductive limit state and Kolmogorov's property, On mixing and completely mixing properties of positive 𝐿¹-contractions of finite von Neumann algebras, Quantum Feller semigroup in terms of quantum Bernoulli noises, A mean ergodic theorem of an amenable group action, Quantum stochastic models with hydrodynamical behaviour, Diffusion of a massive quantum particle coupled to a quasi-free thermal medium, Heisenberg picture approach to the stability of quantum Markov systems, A Survey on Invariance and Ergodicity of Quantum Markov Semigroups, Information geometry and local asymptotic normality for multi-parameter estimation of quantum Markov dynamics, Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes, On quantum dynamical semigroups, Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case, Absorption in invariant domains for semigroups of quantum channels, Quantum thermodynamics: a dynamical viewpoint, Simulated annealing and quantum detailed balance, The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators, The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups, Recurrence and Transience of Quantum Markov Semigroups, ASYMPTOTIC ENTANGLEMENT OF TWO INDEPENDENT SYSTEMS IN A COMMON BATH, Reversible part of quantum dynamical systems: a review, Invariant states for strongly positive operators on C*-algebras, Strongly positive semigroups and faithful invariant states, STEADY STATE FLUCTUATIONS OF THE DISSIPATED HEAT FOR A QUANTUM STOCHASTIC MODEL, Decoherence for positive semigroups on M2(${\mathbb C}$C), Convergence to pure steady states of linear quantum systems, Asymptotic behaviour of time-inhomogeneous evolutions on von Neumann algebras, Asymptotically normal dynamical semigroups

Cites Work