Asymptotics of repeated interaction quantum systems

DOI10.1016/j.jfa.2006.02.006zbMath1118.81008arXivmath-ph/0511026OpenAlexW2093399015MaRDI QIDQ852615

Laurent Bruneau, Marco Merkli, Alain Joye

Publication date: 15 November 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0511026

zbMATH Keywords

Entropy production\(W^*\)-dynamical systems2nd law of thermodynamicsNon-equilibrium quantum theoryOne-atom maserQuantum ergodic theoryThermal quantum fieldThermal reservoirTime dependent interaction

Mathematics Subject Classification ID

Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (24)

Markovian repeated interaction quantum systems ⋮ Strong convergence of quantum random walks via semigroup decomposition ⋮ Linear response theory and entropic fluctuations in repeated interaction quantum systems ⋮ Repeated and continuous interactions in open quantum systems ⋮ Non-equilibrium states of a photon cavity pumped by an atomic beam ⋮ Random repeated quantum interactions and random invariant states ⋮ Landauer's principle in repeated interaction systems ⋮ Repeated quantum interactions and Unitary random walks ⋮ Quantum random walks with general particle states ⋮ Infinite products of random matrices and repeated interaction dynamics ⋮ Perturbation analysis of quantum reset models ⋮ Mixing properties of the one-atom maser ⋮ Stochastic Master Equations in Thermal Environment ⋮ Random repeated interaction quantum systems ⋮ Fermionic walkers driven out of equilibrium ⋮ Repeated interaction quantum systems: Van Hove limits and asymptotic states ⋮ A resonance theory for open quantum systems with time-dependent dynamics ⋮ Thermal relaxation of a QED cavity ⋮ Indirect measurements of a harmonic oscillator ⋮ The effect of classical noise on a quantum two-level system ⋮ Classical noises emerging from quantum environments ⋮ Quantum measurements of scattered particles ⋮ Scattering induced current in a tight-binding band ⋮ Repeated interactions in open quantum systems

Cites Work

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• From repeated to continuous quantum interactions
• Weak coupling and continuous limits for repeated quantum interactions
• Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs
• Quantum Dynamical Systems

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