(Classical) Prethermal phases of matter in dimension 1, 2, and 3

Authors:
  • APAndrea Pizzi
    Andrea Pizzi
  • ANAndreas Nunnenkamp
    Andreas Nunnenkamp
  • JKJohannes Knolle
    Johannes Knolle
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Abstract
We provide a comprehensive account of prethermal discrete time crystals within classical Hamiltonian dynamics, complimenting and extending our recent work [arXiv preprint 2104.13928]. Considering power-law interacting spins on one-, two-, and three-dimensional hypercubic lattices, we investigate the interplay between dimensionality and interaction range in the stabilization of these non-equilibrium phases of matter that break the discrete time-translational symmetry of a periodic drive.