Quantum mechanics

Theoretical physics

Statistics

Materials science

Continuous symmetry

Curse of dimensionality

Range (aeronautics)

Mathematical optimization

Hamiltonian (control theory)

Spins

Classical mechanics

Statistical physics

Physics

Mathematics

Homogeneous space

Work (physics)

Discrete symmetry

Discrete time and continuous time

Translational symmetry

Condensed matter physics

Geometry

Quantum

Composite material

Symmetry (geometry)

Non-equilibrium thermodynamics

Physical review. B./Physical review. B

We provide a comprehensive account of prethermal discrete time crystals within classical Hamiltonian dynamics, complementing and extending our recent work [Phys. Rev. Lett. 127, 140602 (2021)]. 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.

Classical approaches to prethermal discrete time crystals in one, two, and three dimensions