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arxiv: 0803.1183 · v2 · submitted 2008-03-08 · 🪐 quant-ph

Non-Markovian Open Quantum Systems

Cesar A. Rodriguez-Rosario , E.C.G. Sudarshan This is my paper
classification 🪐 quant-ph
keywords non-markovianquantumcanonicaldynamicalenvironmentequationmapsmaster
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We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The relationship between inverse maps and correlations with the environment is established. A generalized non-Markovian master equation is derived from the canonical dynamical map that goes beyond the Kossakowski-Lindblad Markovian master equation. Non-equilibrium quantum thermodynamics can be be studied within this theory.

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    Spin-induced deformation in the Bateman dual oscillator framework yields non-Markovian reduced dynamics with persistent oscillations and fractal scaling that mimic time crystals in a globally unitary quantum system.