Dynamics of non-Markovian open quantum systems

By I. D. Vega, Daniel Alonso. 2015

1,066 citations recorded by the source corpus.

Open quantum systems (OQSs) cannot always be described with the Markov approximation, which requires a large separation of system and environment time scales. An overview is given of some of the most important techniques available to tackle the dynamics of an OQS beyond the Markov approximation. Some of these techniques, such as master equations, Heisenberg equations, and stochastic methods, are based on solving the reduced OQS dynamics, while others, such as path integral Monte Carlo or chain mapping approaches, are based on solving the dynamics of the full system. The physical interpretation and derivation of the various approaches are emphasized, how they are connected is explored, and how different methods may be suitable for solving different problems is examined.

View Paper: https://www.semanticscholar.org/paper/0bb9db12f909bffa789e2299e0c58b808de09daa

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Citations in the corpus

IBM Q Experience as a versatile experimental testbed for simulating open quantum systems (2019, background): “This has in turn given rise to a proliferation of results on the characterisation of memory effects and non-Markovian dynamics [7–10].”
Introduction to Quantum Thermodynamics: History and Prospects (2018, unknown): “order integro-differential equation [32, 33, 65, 66, 67]: d dt ρ̂s = −i[Ĥeff , ρ̂s] + ∫ t”
Quantum Fisher information matrix and multiparameter estimation (2019, background): “Many different quantification of the non-Markovianity based on monotonic quantities under the completely positive and trace-preserving maps have been proposed [124–126].”
Efficient non-Markovian quantum dynamics using time-evolving matrix product operators (2017, background): “Various approaches exist for dealing with nonMarkovian dynamics [1, 3].”