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.

Highlights

  • Recent years have seen an increase of interest in open Markovian quantum systems, which describe a number of experimental platforms for quantum information processing and quantum simulation, both in the realm of atomic physics and quantum optics as well as in the solid state framework

  • 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 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

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Summary

Introduction

Recent years have seen an increase of interest in open Markovian quantum systems, which describe a number of experimental platforms for quantum information processing and quantum simulation, both in the realm of atomic physics and quantum optics as well as in the solid state framework. The quantum dynamics of Markovian systems is described theoretically within the framework of a Lindblad master equation which encodes the competition between coherent (Hamiltonian) evolution and dissipative processes described by a set of jump operators [3] Out of this competition one can expect non-trivial stationary states and dynamical behavior to emerge, leading to novel dissipative phase transitions [4, 5], both in small systems made by few quantum non-linear oscillators [6, 7] as well as in larger arrays [8,9,10,11,12,13,14].

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