Dissipative stabilization of entangled cat states using a driven Bose-Hubbard dimer

TL;DR

This paper presents a method to stabilize entangled cat states in a driven Bose-Hubbard dimer with Kerr interactions, using a linear reservoir coupling, enabling experimental realization in circuit QED.

Contribution

It provides an exact solution for the steady state of a driven-dissipative Bose-Hubbard system and demonstrates a simpler approach for stabilizing entangled cat states.

Findings

Exact steady state solution derived for the system

Entangled cat states can be stabilized with linear reservoir coupling

Method feasible with current circuit QED technology

Abstract

We analyze a modified Bose-Hubbard model, where two cavities having on-site Kerr interactions are subject to two-photon driving and correlated dissipation. We derive an exact solution for the steady state of this interacting driven-dissipative system, and use it show that the system permits the preparation and stabilization of pure entangled non-Gaussian states, so-called entangled cat states. Unlike previous proposals for dissipative stabilization of such states, our approach requires only a linear coupling to a single engineered reservoir (as opposed to nonlinear couplings to two or more reservoirs). Our scheme is within the reach of state-of-the-art experiments in circuit QED.