Ground-state phase structure of the spin-$\frac{1}{2} $ anisotropic planar pyrochlore P H Y Li and R F Bishop -Simulating quantum spin models using Rydberg-excited atomic ensembles in magnetic microtrap arrays Abstract We illustrate analytically the formation of vector-spin-chirality bound state due to spin-phonon interaction conditioned by the inverse Dzyaloshinskii-Moriya mechanism. The non-equilibrium dynamics of spin-chirality is effectively mapped into the spin-boson model. For spin-1/2

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... tems, our study suggests an existence of a gapless first-order phase transition from incoherent to coherent spin fluctuations, which is quantified to an emergence of spin-chirality bound state. The critical strength of spin-phonon interaction is found to be determined by the ratio between the amplitude of spin fluctuations and the Debye frequency of system.