Self-consistent dynamical maps for open quantum systems

Abstract

In several cases, open quantum systems can be successfully described using master equations relying on Born-Markov approximations, but going beyond these approaches has become often necessary. In this work, we introduce the NCA and NCA-Markov dynamical maps for open quantum systems, which go beyond these master equations replacing the Born approximation with a self-consistent approximation, known as non-crossing approximation (NCA). These maps are formally similar to master equations, but allow to capture non-perturbative effects of the environment at a moderate extra numerical cost. To demonstrate their capabilities, we apply them to the spin-boson model at zero temperature for both a Ohmic and a sub-Ohmic environment, showing that they can both qualitatively capture its strong-coupling behaviour, and be quantitatively correct beyond standard master equations.

30 pages, 8 figures

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Cited by in corpus (9)

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• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Kondo-Zeno crossover in the dynamics of a monitored quantum dot
• Fate of the Mollow triplet in strongly-coupled atomic arrays
• Schwinger-Keldysh non-perturbative field theory of open quantum systems beyond the Markovian regime: Application to spin-boson and spin-chain-boson models
• Exact non-Markovian master equations: a generalized derivation for Gaussian systems
• Self-consistent approach to the dynamics of excitation energy transfer in multichromophoric systems
• Dissipative Kondo physics in the Anderson Impurity Model with two-body losses