Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation

TL;DR

This paper introduces a novel reservoir engineering method for bosonic lattices using chiral symmetry, enabling stabilization of pure, entangled steady states with minimal resources across various dimensions.

Contribution

It presents a new approach leveraging generalized chiral symmetry for efficient reservoir engineering in bosonic lattices, independent of translational invariance.

Findings

Single-site squeezed reservoir stabilizes entire lattice in entangled steady state

Applicable to lattices in any dimension, including 1D and 2D

Examples feasible in current quantum photonic platforms

Abstract

We show how a generalized kind of chiral symmetry can be used to construct highly-efficient reservoir engineering protocols for bosonic lattices. These protocols exploit only a single squeezed reservoir coupled to a single lattice site; this is enough to stabilize the entire system in a pure, entangled steady state. Our approach is applicable to lattices in any dimension, and does not rely on translational invariance. We show how the relevant symmetry operation directly determines the real space correlation structure in the steady state, and give several examples that are within reach in several one and two dimensional quantum photonic platforms.