\nI will show that an XXZ spin model with strong nearest-neighbor interactions and tunable long-range hopping of excitations can be rea lized by a regular array of laser driven atoms\, with an excited Rydbe rg state representing the spin-up state and a Rydberg-dressed ground s tate corresponding to the spin-down state [1]. This scheme permits the observation of coherent quantum dynamics of spin excitations - magnon s\, their scattering and exotic interaction-bound states.

\nI will next describe a lattice of Rydberg superatoms - collections of atoms in microtraps that can each accommodate at most one Rydberg excitation . The coupling of superatoms to the laser radiation is collectively en hanced and they can represent mesoscopic\, strongly polarizable spins. We studied a regular array of such effective spins driven by a laser field tuned to compensate the interaction-induced level shifts between the neighboring superatoms [2]. After the initial transient with reso nantly facilitated excitation of large clusters of superatoms\, the sy stem relaxes to the steady state having nearly universal excitation de nsity of 2/3. This state is characterized by highly-nontrivial equilib rium dynamics of quasi-particles – excitation holes in the lattice o f Rydberg excited superatoms.

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\n[1] F. Letscher\, D. Petros yan\, Phys. Rev. A 97\, 043415 (2018)

\n[2] F. Letscher\, D. Petro syan\, M. Fleischhauer\, New J. Phys. 19\, 113014 (2017) URL:https://www.physics.wisc.edu/twap/?id=5095 END:VEVENT END:VCALENDAR