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Abstract :
[en] 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.
