Non-Markovian dynamics with fermions

TL;DR

This paper investigates how fermionic statistics influence the dynamics of collective motion in quantum systems, revealing unique effects like Pauli-blocking that differ from bosonic systems, especially in weak coupling regimes.

Contribution

It introduces a detailed analysis of fermionic quadratic Hamiltonians and explores how fermionic nature alters transport, fluctuation-dissipation relations, and approach to equilibrium.

Findings

Fermionic statistics modify the path to equilibrium.

Pauli-blocking can hinder bath influence in certain limits.

Weak coupling regime shows unchanged time-scale for equilibrium.

Abstract

Employing the quadratic fermionic Hamiltonians for the collective and internal subsystems with a linear coupling, we studied the role of fermionic statistics on the dynamics of the collective motion. The transport coefficients are discussed as well as the associated fluctuation-dissipation relation. Due to different nature of the particles, the path to equilibrium is slightly affected. However, in the weak coupling regime, the time-scale for approaching equilibrium is found to be globally unchanged. The Pauli-blocking effect can modify the usual picture in open quantum system. In some limits, contrary to boson, this effect can strongly hinder the influence of the bath by blocking the interacting channels.