Matteo Seclì1, Massimo Capone1,2, and Marco Schirò3,4
New J. Phys. 23, 063056 (2021) – Published 18 June 2021
Also available on: arXiv
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We investigate signatures of a self-trapping transition in the driven-dissipative Bose-Hubbard dimer, in presence of incoherent pump and single-particle losses. For fully symmetric couplings the stationary state density matrix is independent of any Hamiltonian parameter, and cannot therefore capture the competition between hopping-induced delocalization and the interaction-dominated self-trapping regime. We focus instead on the exact quantum dynamics of the particle imbalance after the system is prepared in a variety of initial states, and on the frequency-resolved spectral properties of the steady state, as encoded in the single-particle Green's functions. We find clear signatures of a localization-delocalization crossover as a function of hopping to interaction ratio. We further show that a finite a pump-loss asymmetry restores a delocalization crossover in the steady-state imbalance and leads to a finite intra-dimer dissipation.

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

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

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