Artículo
From nonequilibrium Green’s functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics
Fecha de publicación:
07/2021
Editorial:
American Physical Society
Revista:
Physical Review B
ISSN:
2469-9969
e-ISSN:
2469-9950
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We consider a finite quantum system under slow driving and weakly coupled to thermal reservoirs at different temperatures. We present a systematic derivation of the quantum master equation for the density matrix and the out-of-time-order correlators. We start from the microscopic Hamiltonian and we formulate the equations ruling the dynamics of these quantities by recourse to the Schwinger-Keldysh nonequilibrium Green’s function formalism, performing a perturbative expansion in the coupling between the system and the reservoirs. We focus on the adiabatic dynamics, which corresponds to considering the linear response in the ratio between the relaxation time due to the system-reservoir coupling and the time scale associated to the driving. We calculate the particle and energy fluxes. We illustrate the formalism in the case of a qutrit coupled to bosonic reservoirs and of a pair of interacting quantum dots attached to fermionic reservoirs, also discussing the relevance of coherent effects.
Palabras clave:
NONEQUILIBRIUM
,
QUANTUM
,
DYNAMICS
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Articulos (ICIFI)
Articulos de INSTITUTO DE CIENCIAS FISICAS
Articulos de INSTITUTO DE CIENCIAS FISICAS
Citación
Bhandari, Bibek; Fazio, Rosario; Taddei, Fabio; Arrachea, Liliana del Carmen; From nonequilibrium Green’s functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics; American Physical Society; Physical Review B; 104; 3; 7-2021; 1-19
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