Dissipation engineering of fermionic long-range order beyond Lindblad

TL;DR

This paper explores how to create and stabilize long-range order in strongly interacting fermionic systems using dissipation, even beyond the traditional Lindblad framework, with implications for experimental realizations.

Contribution

It demonstrates that dissipative long-range order persists with additional interactions and analyzes stability beyond Lindblad dynamics considering bath spectral properties.

Findings

Long-range order can be stabilized with added spin-exchange interactions.

Stability depends on bath spectral density properties.

Feasibility of experimental implementation is discussed.

Abstract

We investigate the possibility of engineering dissipatively long-range order that is robust against heating in strongly interacting fermionic systems, relevant for atoms in cavity QED. It was previously shown [Tindall et al. Phys.Rev.Lett. 123, 030603 (2019)] that it is possible to stabilize long-range order in a Hubbard model by exploiting a dissipative mechanism in the Lindblad limit, this latter being valid for spectrally unstructured baths. Here, we first show that this mechanism still holds when including additional spin-exchange interactions in the model, that is for the tUJ model. Moreover, by means of a Redfield approach that goes beyond the Lindblad case, we show how the stability of the engineered state depends crucially on properties of the bath spectral density and discuss the feasibility of those properties in an experiment.