Abstract

We formulate an extension of the Quantal Brownian Motion (QBM) model for collective mode damping designed to include coupling to other normal modes of the system. We derive the equations of motion of the macroscopic coordinates and of the fermionic and bosonic degrees of freedom and investigate their exact solution in the thermodynamic limit of the heat reservoir. We examine the properties of the microscopic transition rates and their dependence on the macroscopic parameters as well as on the coupling strengths. The characteristic times of the damping process are extracted and their trend is analyzed.

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