Nonequilibrium mesoscopic Fermi reservoirs distributions and particle current through a coherent quantum system

TL;DR

This paper investigates particle current and distribution in a quantum transport model with mesoscopic Fermi reservoirs driven out of equilibrium, comparing numerical results with theoretical expectations and analyzing occupation distributions.

Contribution

It introduces a model using Lindblad dynamics for mesoreservoirs and compares its steady-state results with Landauer theory, highlighting its ability to replicate coherent quantum transport behavior.

Findings

Model reproduces expected quantum transport behavior

Steady-state occupation distributions match theoretical predictions

Numerical results align with Landauer formula expectations

Abstract

We study particle current and occupation distribution in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (mesoreservoir) is driven out of equilibrium by the action of superreservoirs with prescribed temperatures and chemical potentials described by a simple dissipative mechanism with the Lindblad equation. We compare exact (numerical) results for the non-equilibrium steady state particle current with theoretical expectations based on the Landauer formula and show that the model reproduce the behavior of coherent quantum systems in the expected parameter region. We also obtain the occupation distribution on the mesoreservoir in the non-equilibrium steady state and compare them with the occupation distribution on the leads in usual description of coherent quantum transport.