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.

5 pages, 3 figures

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• Exact Results for a Boundary-Driven Double Spin Chain and Resource-Efficient Remote Entanglement Stabilization
• Quench Dynamics in 1D Optomechanical Arrays
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• Integrated molecular optomechanics with hybrid dielectric-metallic resonators
• An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement
• Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality
• Reservoir-assisted energy migration through multiple spin-domains
• Stability via symmetry breaking in interacting driven systems