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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Classical and quantum chaotic synchronization in coupled dissipative time crystals
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.
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Time-Crystalline Phase in a Single-Band Holographic Superconductor
Holographic superconductor with nonlinear coupling and driving exhibits time-crystalline phase via sum resonance and subharmonic growth that breaks time-translation symmetry.
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Ergodic and Discrete Time Crystal Phases in Periodically Kicked Many-Body Quantum Systems: An Analytical Study
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.
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Quantum many-body scars leading to time-translation symmetry breaking in kicked interacting spin models
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.
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Floquet dynamical quantum phase transitions in periodically flux-quenched systems
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.
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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.