Waiting-times statistics in boundary driven free fermion chains

TL;DR

This paper derives analytical formulas for waiting-time distributions and correlation functions in boundary-driven free fermion chains, enabling analysis of large systems with open quantum dynamics.

Contribution

It provides closed-form expressions for WTDs and correlation functions in free fermion chains coupled to Lindblad baths, applicable to large system sizes.

Findings

Explicit formulas for WTDs in free fermion chains

Derivation of 2-point correlation functions with non-Hermitian propagators

Analysis framework for large boundary-driven quantum systems

Abstract

We study the waiting-time distributions (WTDs) of quantum chains coupled to two Lindblad baths at each end. Our focus is on free fermion chains, where we derive closed-form expressions in terms of single-particle matrices, allowing one to study arbitrarily large chain sizes. In doing so, we also derive formulas for 2-point correlation functions involving non-Hermitian propagators.