Matteo Seclì1,2, Massimo Capone1,3, and Marco Schirò4,5
Phys. Rev. A 106, 013707 (2022) – Published 12 July 2022
Also available on: arXiv
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We study a driven-dissipative Bose-Hubbard model in the presence of two-particle losses and an incoherent single-particle drive on each lattice site, leading to a finite-density stationary state. Using dynamical mean-field theory (DMFT) and an impurity solver based on exact diagonalization of the associated Lindbladian, we investigate the regime of strong two-particle losses. Here a stationary-state quantum Zeno effect emerges, as can be seen in the on-site occupation and spectral function. We show that DMFT captures this effect through its self-consistent bath. We show that, in the deep Zeno regime, the bath structure simplifies, with the occupation of all bath sites except one becoming exponentially suppressed. As a result, an effective dissipative hard-core Bose-Hubbard dimer model emerges, where the auxiliary bath site has single-particle dissipation controlled by the Zeno dissipative scale.

PACS: 03.65.Vf, 42.60.Da, 42.65.Sf, 73.43.-f

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  1. International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy  2

  2. Now at Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, California 94720, USA 

  3. CNR-IOM Democritos, Via Bonomea 265, I-34136 Trieste, Italy 

  4. JEIP, USR 3573 CNRS, Collége de France, PSL Research University, 11 Place Marcelin Berthelot, 75321 Paris Cedex 05, France 

  5. On leave from Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, F-91191 Gif-sur-Yvette, France.