Universal secular form of non-secular master equation

TL;DR

This paper introduces a refined secular form of the Redfield non-secular master equation that eliminates basis dependence, resolving a key ambiguity in applying the secular approximation.

Contribution

It presents a new secular form of the Redfield master equation that is basis-independent, improving accuracy and consistency in quantum dynamics modeling.

Findings

The new form is insensitive to basis choice.

It provides a more accurate approximation of quantum dynamics.

It resolves the ambiguity in applying the secular approximation.

Abstract

We develop a more accurate secular form for the Redfield non-secular master equation, which is insensitive to the choice of the basis. This completely solves the ambiguity on which basis should be used when the secular approximation of the Redfield master equation is applied.