Thermalization and entropy production of a 1D bipartite fermionic lattice under influence of a dephasing noise

TL;DR

This paper investigates how dephasing noise affects entropy production, heat, and matter transport in a 1D bipartite fermionic chain, revealing the noise's role in entropy dynamics and confirming a fluctuation theorem.

Contribution

It introduces a phenomenological dephasing noise model to analyze entropy and transport in a 1D fermionic system, providing analytical solutions and verifying fluctuation theorem validity.

Findings

Dephasing noise significantly influences entropy production.

Analytical solutions for fluxes using Boltzmann and Fermi-Dirac distributions.

Fluctuation theorem for energy and matter exchange holds despite noise.

Abstract

In this paper we study entropy production and transport of heat and matter in an 1D bipartite fermionic chain. Moreover, we input a phenomenological dephasing noise in order to show its effect on the dynamics of the system. Specially, it is shown the importance of such noise in the emergence of the entropy production. For the fluxes, analytical solutions are obtained using both Boltzmann and Fermi-Dirac distribuition. Finally, we show that a particular fluctuation theorem for energy and matter exchange is obeyed even in the presence of such noise.