An algorithm for tailoring a quadratic lattice with a local squeezed reservoir to stabilize generic chiral states with non-local entanglement

Abstract

We demonstrate a new approach to the generation of custom entangled many-body states through reservoir engineering, using the symmetry properties of bosonic lattice systems coupled to a local squeezed reservoir. We outline an algorithm where, beginning with a desired set of squeezing correlations, one uses the symmetry to constrain the Hamiltonian and find a lattice configuration which stabilizes a pure steady state realizing these correlations. We demonstrate how to use this process to stabilize two unique pure states with non-local correlations that could be useful for quantum information applications. First, we show how drive a square lattice into a product state of entangled quadruplets of sites. Second, using a bisected system, we generate a steady state where local measurements in one half of the lattice herald a pure delocalized state in the second half.

6 pages, 4 figures

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Cited by in corpus (2)

• Dissipative engineering of Gaussian entangled states in harmonic lattices with a single-site squeezed reservoir
• Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel