Signatures of self-trapping in the driven-dissipative Bose–Hubbard dimer. (18th June 2021)

• Record Type: Journal Article
• Authors: Seclì, Matteo; Capone, Massimo; Schirò, Marco
• Is Part Of: New journal of physics. Volume 23:Number 6(2021)
• Publication Date: 2021-06-18
• Subjects: open quantum systems -- Lindblad master equation -- dissipative phase transitions -- Bose Hubbard dimer -- coupled BEC; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/ac04c8
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: 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.