Exact derivation and solution of the Nakajima-Zwanzig generalized master equation and discussion of approximate treatments for the coupled coherent and incoherent exciton motion

1980 ◽  
Vol 21 (6) ◽  
pp. 2448-2461 ◽  
Author(s):  
P. Reineker ◽  
R. Kühne
Keyword(s):  
Master Equation ◽  
Exact Derivation ◽  
Generalized Master Equation

scholarly journals Stepwise introduction of model complexity in a generalized master equation approach to time-dependent transport

2012 ◽  
Vol 61 (2-3) ◽  
pp. 305-316 ◽  
Author(s):  
V. Gudmundsson ◽  
O. Jonasson ◽  
Th. Arnold ◽  
C-S. Tang ◽  
H.-S. Goan ◽  
...  
Keyword(s):  
Master Equation ◽  
Time Dependent ◽  
Model Complexity ◽  
Equation Approach ◽  
Master Equation Approach ◽  
Dependent Transport ◽  
Generalized Master Equation

Compact solution to the generalized master equation

1990 ◽  
Vol 41 (6) ◽  
pp. 3369-3371
Author(s):  
Lyndon M. Alvero ◽  
Jose A. Magpantay
Keyword(s):  
Master Equation ◽  
Generalized Master Equation

scholarly journals Generalized Master Equation Approach to Time-Dependent Many-Body Transport

Entropy ◽  
2019 ◽  
Vol 21 (8) ◽  
pp. 731 ◽  
Author(s):  
Moldoveanu ◽  
Manolescu ◽  
Gudmundsson
Keyword(s):  
Master Equation ◽  
Single Mode ◽  
Continuous Model ◽  
Coupled Systems ◽  
Many Body ◽  
Technical Problems ◽  
Transient Transport ◽  
Formal Framework ◽  
Master Equation Approach ◽  
Generalized Master Equation

We recall theoretical studies on transient transport through interacting mesoscopic systems.It is shown that a generalized master equation (GME) written and solved in terms of many-body statesprovides the suitable formal framework to capture both the effects of the Coulomb interaction andelectron–photon coupling due to a surrounding single-mode cavity. We outline the derivation of thisequation within the Nakajima–Zwanzig formalism and point out technical problems related to itsnumerical implementation for more realistic systems which can neither be described by non-interactingtwo-level models nor by a steady-stateMarkov–Lindblad equation. We first solve the GME for a latticemodel and discuss the dynamics of many-body states in a two-dimensional nanowire, the dynamicalonset of the current-current correlations in electrostatically coupled parallel quantum dots and transientthermoelectric properties. Secondly, we rely on a continuous model to get the Rabi oscillations ofthe photocurrent through a double-dot etched in a nanowire and embedded in a quantum cavity.A many-bodyMarkovian version of the GME for cavity-coupled systems is also presented.

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