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Engineering chiral spin interactions with Rydberg atoms
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Engineering chiral spin interactions with Rydberg atoms
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We propose to simulate the anisotropic and chiral Dzyaloshinskii-Moriya (DM) interaction with Rydberg atom arrays. The DM Hamiltonian is engineered in a one-dimensional optical lattice or trap array with effective long-range Rydberg spins, interacting indirectly via a mobile mediator Rydberg atom. A host of XXZ and DM Hamiltonians can be simulated with out-of-phase sign periodic coupling strengths; for initial states in a stationary condensate, the DM interaction vanishes. This theory allows for determination of the DM interaction (DMI) vector components from first principles. The inherent anisotropy of the Rydberg-Rydberg interactions, facilitates the DMI coupling to be tuned so as to be comparable to the XXZ interaction. Our results make plausible the formation of non-trivial topological spin textures with Rydberg atom arrays.
Forward citations
Cited by 3 Pith papers
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Magnetic-field control of interactions in alkaline-earth Rydberg atoms and applications to {\it XXZ} models
Magnetic fields tune the XXZ anisotropy parameter in alkaline-earth Rydberg pairs, allowing a folded XXZ model in ytterbium without fine-tuning and a mean-field supersolid on the square lattice.
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Magnetic-field control of interactions in alkaline-earth Rydberg atoms and applications to {\it XXZ} models
Ytterbium Rydberg pairs naturally realize strongly anisotropic XXZ spin interactions that can be tuned by a magnetic field.
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Spontaneous Symmetry Breaking in Chiral Current-Carrying High-Energy Eigenstates
Ground states of a chirality-plus-field Hamiltonian are exact Heisenberg-chain eigenstates with zero entropy, finite chirality, and spontaneously broken symmetry.
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