Time-dependent renormalized quantum master equation

TL;DR

This paper introduces a time-dependent renormalized nonlinear quantum master equation that accurately models non-equilibrium fluctuations and outperforms conventional theories in systems with large energy gaps.

Contribution

The paper derives a novel nonlinear QME using time-dependent renormalization, providing improved modeling of non-equilibrium dynamics in quantum systems.

Findings

The nonlinear QME reproduces exact numerical results for large energy gaps.

It outperforms conventional theories in modeling non-equilibrium fluctuations.

The approach is applicable to weak electronic coupling scenarios.

Abstract

Time-dependent renormalization was employed to derive a nonlinear quantum master equation (QME), in which the dynamics of a non-equilibrium fluctuation in an irrelevant system are fed back into that of a relevant one. In terms of application, the nonlinear QME was formulated from the viewpoint of the conventional theory for weak electronic coupling and analyzed numerically. In the case of a large energy gap between sites in the relevant system and the reorganization energy, the new equation reproduced the results obtained through numerically exact calculations; this behavior is in contrast with that of the conventional theory.