Self-consistent dynamical maps for open quantum systems
Orazio Scarlatella, Marco Schirò
SciPost Phys. 16, 026 (2024) · published 24 January 2024
- doi: 10.21468/SciPostPhys.16.1.026
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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.
Cited by 3
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Orazio Scarlatella,
- 3 Marco Schirò
- 1 University of Cambridge
- 2 University of Chicago [UC]
- 3 Université de recherche Paris Sciences et Lettres / PSL Research University [PSL]