Coupled dissipative time crystals show chaotic synchronization with positive Lyapunov exponents and high Pearson correlations in the classical limit, plus analogous staggered-to-uniform crossovers and GUE statistics in quantum trajectories.
\ Else , author Bela \ Bauer , \ and\ author Chetan \ Nayak ,\ title title Floquet time crystals , \ 10.1103/PhysRevLett.117.090402 journal journal Phys
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Holographic superconductor with nonlinear coupling and driving exhibits time-crystalline phase via sum resonance and subharmonic growth that breaks time-translation symmetry.
Analytical study derives conditions for ergodic infinite-temperature relaxation or robust discrete time crystal subharmonic oscillations in periodically kicked spin chains, depending on kicking protocol and initial state.
Quantum many-body scars in a kicked long-range Ising model produce time-translation symmetry breaking via π-paired Floquet doublets, yielding period-doubling oscillations that scale to last exponentially long in system size for selected initial states.
FDQPTs occur in periodically flux-quenched XY chains when a Floquet quench fidelity condition is met together with appropriate segment durations, generalizing single-quench fidelity to periodic drives.
Quasi-periodic driving of a four-level system creates temporal analogs of quantum spin Hall and higher-order topological insulators, yielding quantized energy exchange rates between drives due to synthetic edge or corner modes.
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Topological energy pumping in a quasi-periodically driven four-level system
Quasi-periodic driving of a four-level system creates temporal analogs of quantum spin Hall and higher-order topological insulators, yielding quantized energy exchange rates between drives due to synthetic edge or corner modes.