Interacting bosons in two-dimensional lattices with localized dissipation

Arko Roy,Kush Saha

doi:10.1088/1367-2630/ab4da0

Arko Roy, Kush Saha

Open Access

https://doi.org/10.1088/1367-2630/ab4da0

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Abstract

Motivated by the recent experiments on engineering localized losses in quantum gases, we study the dynamics of interacting bosons in a two-dimensional optical lattice with local dissipation. Together with the Gutzwiller mean-field theory for density matrices and Lindblad master equation, we show how the onsite interaction between bosons affects the particle loss for various strengths of dissipation. For moderate dissipation, the trend in particle loss differs significantly near the superfluid-Mott boundary than the deep superfluid regime. While the loss is suppressed for stronger dissipation in the deep superfluid regime, revealing the typical quantum Zeno effect, the loss near the phase boundary shows non-monotonic dependence on the dissipation strength. We furthermore show that close to the phase boundary, the long-time dissipative dynamics is different from the deep superfluid regime. Thus the loss of particle due to dissipation may act as a probe to differentiate strongly-correlated superfluid regime from its weakly-correlated counterpart.

Highlights

Dissipation in quantum systems leads to decoherence of quantum states, recent years have witnessed an upsurge in allowing dissipation on purpose to study nonequilibrium dynamics in various physical systems such as optical cavities [1], trapped ions [2, 3], exciton-polariton BECs [4], and microcavity arrays coupled with superconducting qubits [5]
This is in part, because dissipation can be used as an efficient tool for preparing and manipulating quantum states [6], and in part because the interplay between unitary and dissipative dynamics leads to the emergence of nonequilibrium steady states [7]
The dynamics is expected to depend on the interplay between those parameters, which may lead to interesting dissipative dynamics

Summary

Introduction

Dissipation in quantum systems leads to decoherence of quantum states, recent years have witnessed an upsurge in allowing dissipation on purpose to study nonequilibrium dynamics in various physical systems such as optical cavities [1], trapped ions [2, 3], exciton-polariton BECs [4], and microcavity arrays coupled with superconducting qubits [5]. Among various experimental platforms for studying dissipative dynamics, the most promising candidate turns out to be cold atoms due to its high degree of experimental controllability This has led to a recent cold atom experiment where single and two-body particle losses have been investigated with widely controllable dissipation strength, revealing the melting of quantum phases across the superfluid-Mott transition [8].

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