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Floquet Time Crystals.

Dominic V Else1, Bela Bauer2, Chetan Nayak1,2

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Summary
This summary is machine-generated.

Time translation symmetry breaking occurs in many-body-localized driven quantum systems. This spontaneous symmetry breaking is demonstrated using analytical arguments and numerical simulations.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • Time translation symmetry is a fundamental concept in physics.
  • Spontaneous symmetry breaking is a key phenomenon in many physical systems.
  • Many-body localization (MBL) describes quantum systems that fail to thermalize.

Purpose of the Study:

  • To define spontaneous time translation symmetry breaking in quantum systems.
  • To investigate the occurrence of this phenomenon in many-body-localized driven systems.
  • To provide analytical and numerical evidence for spontaneous time translation symmetry breaking.

Main Methods:

  • Development of a formal definition for spontaneous time translation symmetry breaking.
  • Analytical calculations to support the theoretical framework.
  • Numerical simulations to observe and confirm the phenomenon in specific models.

Main Results:

  • A precise definition for spontaneous time translation symmetry breaking in quantum systems is established.
  • It is shown that spontaneous time translation symmetry breaking occurs in a broad range of many-body-localized driven systems.
  • Analytical and numerical results consistently demonstrate this symmetry breaking.

Conclusions:

  • Spontaneous time translation symmetry breaking is a robust feature of many-body-localized driven quantum systems.
  • The findings offer new insights into the non-equilibrium dynamics and properties of localized quantum matter.
  • This work opens avenues for exploring novel quantum phenomena in periodically driven disordered systems.