Signatures of Self-Trapping in the Driven-Dissipative Bose-Hubbard Dimer

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.

16 pages, 12 figures. With respect to version 1 we've added a new section "VIII. Discussion" and we've carried out a minor revision of the other sections

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Cited by in corpus (5)

• Exact solutions of interacting dissipative systems via weak symmetries
• Spontaneous symmetry breaking in a coherently driven nanophotonic Bose-Hubbard dimer
• Many-Body Open Quantum Systems
• Non-equilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model
• Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory