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Building Continuous Time Crystals from Rare Events.

R Hurtado-Gutiérrez1,2, F Carollo3, C Pérez-Espigares1,2

  • 1Departamento de Electromagnetismo y Física de la Materia, Universidad de Granada, Granada 18071, Spain.

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Summary
This summary is machine-generated.

Researchers developed a classical time-crystal generator from rare event statistics in driven diffusive systems. This model, the time-crystal lattice gas (TCLG), exhibits a phase transition to a time-crystalline state with a density wave.

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Area of Science:

  • Non-equilibrium statistical mechanics
  • Condensed matter physics
  • Dynamical phase transitions

Background:

  • Symmetry-breaking dynamical phase transitions (DPTs) are common in non-equilibrium systems.
  • The recently discovered time-crystal phase of matter exhibits unique properties related to time-translation symmetry.

Purpose of the Study:

  • To establish a connection between DPTs and the time-crystal phase.
  • To develop a mechanism for constructing classical time-crystal generators.
  • To introduce and analyze the time-crystal lattice gas (TCLG) model.

Main Methods:

  • Utilizing Doob's transform to analyze rare event statistics.
  • Developing the time-crystal lattice gas (TCLG) model.
  • Performing hydrodynamic analysis of the TCLG phase transition.

Main Results:

  • Spectral features of certain DPTs reveal characteristics of time crystals.
  • A method to build classical time-crystal generators from driven diffusive systems was established.
  • The TCLG model exhibits a steady-state phase transition to a time-crystalline phase with a matter density wave.
  • Hydrodynamic analysis showed similarities and differences with the Kuramoto synchronization transition.

Conclusions:

  • The study provides a novel link between DPTs and time crystals.
  • The TCLG model serves as a platform for studying time-crystalline phases.
  • Potential experimental realizations in colloidal fluids were discussed.