TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.026
TI  - Self-consistent dynamical maps for open quantum systems
PY  - 2024/01/24
UR  - https://www.scipost.org/SciPostPhys.16.1.026
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 026
A1  - Scarlatella, Orazio
AU  - Schirò, Marco
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.16.1.026,
	title={{Self-consistent dynamical maps for open quantum systems}},
	author={Orazio Scarlatella and Marco Schirò},
	journal={SciPost Phys.},
	volume={16},
	pages={026},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.026},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.026},
}