Exact asymptotics of the current in boundary dissipated quantum chains in large external fields

TL;DR

This paper derives exact asymptotic expressions for the current in boundary-driven quantum spin chains under large external fields, revealing significant current rectification effects due to interactions.

Contribution

It provides a novel exact formula for the large field asymptotics of current in non-integrable quantum chains with boundary dissipation.

Findings

Exact asymptotic expression for current at large external fields

Demonstration of large current rectification due to interactions

Application to boundary-driven quantum spin and fermion chains

Abstract

Boundary driven quantum master equation for a general inhomogeneous (non-integrable) anisotropic Heisenberg spin $1/2$ chain, or an equivalent nearest neighbor interacting spinless fermion chain, is considered in the presence of a strong external field $f$. We present an exact closed form expression for large $f$ asymptotics of the current in the presence of pure incoherent source and sink dissipation at the boundaries. In application we demonstrate arbitrary large current rectification in the presence of interaction.