Coherent transport and dynamical entropy for Fermionic systems

TL;DR

This paper develops a framework linking transport properties and spectral dynamics in homogeneous quantum systems, specifically applying it to Fermionic systems to derive bounds on dynamical entropy based on particle current.

Contribution

It introduces a general scheme of local traps in deterministic quantum systems and applies it to Fermions, establishing new bounds on dynamical entropy from trap-induced currents.

Findings

Transport properties relate to spectral features of quantum dynamics.

Lower bounds for dynamical entropy are derived from particle current.

Application to Fermionic systems demonstrates the scheme's effectiveness.

Abstract

This paper consists in two parts. First we set up a general scheme of local traps in an homogeneous deterministic quantum system. The current of particles caught by the trap is linked to the dynamical behaviour of the trap states. In this way, transport properties in an homogeneous system are related to spectral properties of a coherent dynamics. Next we apply the scheme to a system of Fermions in the one-particle approximation. We obtain in particular lower bounds for the dynamical entropy in terms of the current induced by the trap.