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Discrete Time Crystals in Unbounded Potentials.

Yevgeny Bar Lev1, Achilleas Lazarides2

  • 1Department of Physics, <a href="https://ror.org/05tkyf982">Ben-Gurion University of the Negev</a>, Beer-Sheva 84105, Israel.

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Researchers created a discrete time crystal (DTC) in a nondisordered system, overcoming previous reliance on disorder. This robust phase is stable against local perturbations, advancing the study of nonergodic quantum systems.

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Area of Science:

  • Condensed matter physics
  • Quantum many-body systems
  • Non-equilibrium statistical mechanics

Background:

  • Discrete time crystals (DTCs) are novel quantum phases of matter requiring nonadiabatic driving and a finite-entropy long-time state.
  • Previous DTC realizations often depended on quenched disorder to achieve nonergodicity.
  • The interplay between nonergodicity, driving, and interactions in the absence of disorder remains an active research area.

Purpose of the Study:

  • To theoretically construct and numerically verify a discrete time crystal (DTC) phase in a nondisordered, nonintegrable system.
  • To identify general conditions for realizing DTCs in interacting, periodically driven systems.
  • To demonstrate the robustness of the proposed DTC phase against local perturbations.

Main Methods:

  • Development of a theoretical framework for DTCs in nonergodic systems.
  • Proposal of a concrete model based on nondisordered, nonintegrable Ising-type interactions.
  • Application of approximate analytical arguments and direct numerical simulations.
  • Analysis of system behavior under local periodic perturbations.

Main Results:

  • Successful construction of a DTC phase in a nondisordered, nonintegrable Ising-type system.
  • Demonstration that nonergodicity, crucial for DTCs, can be achieved without disorder.
  • Numerical evidence confirming the existence of the DTC phase and its robustness.
  • Identification of key conditions for DTC realization in driven, interacting systems.

Conclusions:

  • Discrete time crystals can be realized in nondisordered, nonintegrable systems, broadening their potential applications.
  • The proposed model provides a viable platform for studying nonergodic phenomena without disorder.
  • The demonstrated robustness of the DTC phase suggests practical feasibility and stability.