Manipulating Growth and Propagation of Correlations in Dipolar Multilayers: From Pair Production to Bosonic Kitaev Models

We study the nonequilibrium dynamics of dipoles confined in multiple stacked two-dimensional layers realizing a long-range interacting quantum spin 1/2 XXX model. We demonstrate that strong in-plane 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 multilayer 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 allows for the control over the temporal and spatial propagation of correlations for applications in quantum sensing and quantum simulation.

Automated summary

This article studies the nonequilibrium dynamics of dipoles confined in multiple stacked two-dimensional layers, implementing long-range interacting quantum spin 1/2 XXX model. It is demonstrated that strong in-plane interactions can protect a manifold of collective layer dynamics, enabling the mapping of many-body spin dynamics to bosonic models. The control over interactions, lattice geometry, and state preparation in interacting dipolar systems uniquely afforded by various atomic, molecular, and optical platforms allows for the control of temporal and spatial propagation of correlations.