Reservoir engineering of bosonic lattices using chiral symmetry and localized dissipation

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.