Manipulating growth and propagation of correlations in dipolar multilayers: From pair production to bosonic Kitaev models

Abstract

We study the non-equilibrium dynamics of dipoles confined in multiple stacked two-dimensional layers realising a long-range interacting quantum spin 1/2 XXZ model. We demonstrate that strong in-plane XXX interactions can protect a manifold of collective layer dynamics. This then allows us to map the many-body spin dynamics to bosonic models. In a bilayer configuration we show how to engineer the paradigmatic two-mode squeezing Hamiltonian known from quantum optics, resulting in exponential production of entangled pairs and generation of metrologically useful entanglement from initially prepared product states. In multi-layer configurations we engineer a bosonic variant of the Kitaev model displaying chiral propagation along the layer direction. Our study illustrates how the control over interactions, lattice geometry and state preparation in interacting dipolar systems uniquely afforded by AMO platforms such as Rydberg and magnetic atoms, polar molecules or trapped ions allow for the control over the temporal and spatial propagation of correlations for applications in quantum sensing and quantum simulation.

5 pages, 4 figures + references + supplement

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Cited by in corpus (9)

• Bilayer crystals of trapped ions for quantum information processing
• Kerr-magnon-assisted asymptotic stationary photon-phonon squeezing
• Two-mode Squeezing in Floquet Engineered Power-law Interacting Spin Models
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer
• Dynamically stable two-mode squeezing in cavity optomechanics
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition
• Probing quantum phase transition in a staggered Bosonic Kitaev chain via layer-resolved localization-delocalization transition
• Hierarchic superradiant phases in anisotropic Dicke model