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arXiv:1805.01518 · Quantum Information Processing

Entanglement production by the magnetic dipolar interaction dynamics

Douglas F. Pinto, Jonas Maziero

Published Aug 17, 2018• 5 citations
arXivHTMLPDF
DOI
10.1007/s11128-018-2028-1

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In this work we consider a bipartite system consisting of magnetic dipoles, initially characterized by product-states uncorrelated until the dynamics of evolution is established by magnetic dipole interaction. We reproduce the dynamic behavior of the entanglement produced by the magnetic dipole interaction through its temporal dependence, connection with local quantum coherences or symmetries of initial states and interaction parameters, thus establishing criteria that extremize the entanglement. We also investigated the entanglement production capacity of the magnetic dipole interaction for some classes of states with lower purities, with and without initial entanglement, thus identifying relevant aspects between purity, symmetry and necessary local quantum coherences. We show, above all, that some classes of partially entangled states can preserve or generate maximum entanglement under magnetic dipole interaction for different instants of time.
We study the static and dynamic responses of an F=1F=1F=1 dipolar spinor condensate with magnetic dipole moment under external magnetic fields, focusing on the effects induced by the magnetic dipolar interactions between atoms. A rich set of phenomena are investigated such as the ground state quantum phases, the magnetization steps, spin squeezing, and macroscopic entanglement generation.
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.