Well-posedness and convergence of the Lindblad master equation for a quantum harmonic oscillator with multi-photon drive and damping

DOI10.1051/cocv/2016050zbMath1354.37088arXiv1511.03898OpenAlexW2963113220MaRDI QIDQ2835362

Pierre Rouchon, Rémi Azouit, Alain Sarlette

Publication date: 2 December 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03898

zbMATH Keywords

decoherenceLyapunov functionsquantum electrodynamicsaccretive operatorsquantum controlLindblad master equationinfinite-dimensional dissipative systems

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Electromagnetic interaction; quantum electrodynamics (81V10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Linear accretive operators, dissipative operators, etc. (47B44) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum control (81Q93)

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