On the quantum master equation for Bogoliubov-BCS quasiparticles

TL;DR

This paper introduces a quantum master equation for Bogoliubov-BCS quasiparticles that maintains the density matrix form and can be extended to systems with multiple order parameters.

Contribution

It presents a novel quantum master equation framework for quasiparticles, incorporating constraints to preserve the density matrix structure and enabling semiclassical reduction.

Findings

Derived a quantum master equation for quasiparticles

Ensured the density matrix form is preserved under constraints

Extended the equation to systems with multiple order parameters

Abstract

The quantum master equation is introduced for the density matrix representing Bogoliubov-BCS quasiparticles. A constraint to relate the loss and gain factors is taken into account to preserve the form of the density matrix. Such an equation can be reduced to the semiclassical equation, and can be extended for the coexistence of different order parameters.