Quasithermodynamic Representation of the quantum master equations: its existence , advantages and applications

TL;DR

This paper introduces a quasithermodynamic representation for quantum master equations, enabling unified dynamical descriptions of quantum states using a nonequilibrium potential, with proven existence for key equations and advantages in analyzing relaxation behaviors.

Contribution

The paper presents a novel quasithermodynamic form for quantum master equations, demonstrating its existence for key models and highlighting its benefits for studying open quantum system dynamics.

Findings

Representation exists for Pauli and Lindblad master equations

Unified equations for density matrix elements using nonequilibrium potential

Advantages in analyzing relaxation to stationary states

Abstract

We propose a new representation for several quantum master equations in so-called quasithermodynamic form. This representation (when it exists) let one to write down dynamical equations both for diagonal and non-diagonal elements of density matrix of the quantum system of interest in unified form by means of nonequilibrium potential ("entropy") that is a certain quadratic function depending on all variables describing the state. We prove that above representation exists for the general Pauli master equation and for the Lindblad master equation ( at least in simple cases ) as well. We discuss also advantages of the representation proposed in the study of kinetic properties of open quantum systems particularly of its relaxation to the stationary state.