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This summary is machine-generated.

Periodic driving of Floquet insulators reveals novel topological phases. These phases mimic fermion doubling, mapping to discrete-time lattice fermion theories with reduced spatial sites.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Topological phases

Background:

  • Floquet insulators are quantum systems subjected to periodic driving, leading to unique topological phases.
  • These phases share characteristics with fermion doubling phenomena observed in discrete-time lattice fermion theories.

Purpose of the Study:

  • To concretely demonstrate the connection between Floquet insulator phases and discrete-time lattice fermion theories.
  • To map the spectral properties of a specific Floquet insulator model to a time-independent Hamiltonian.

Main Methods:

  • Analysis of the spectrum of a noninteracting (1+1)D Floquet insulator under specific drive parameters.
  • Mapping this spectrum onto a discrete-time lattice fermion theory with a time-independent Hamiltonian.

Main Results:

  • The mapping results in a Hamiltonian distinct from the stroboscopic Floquet Hamiltonian.
  • The derived Hamiltonian can represent a discrete-time Su-Schrieffer-Heeger model with half the original spatial sites.
  • Alternatively, it can manifest as a (1+1)D Wilson-Dirac theory with one quarter of the original spatial sites.

Conclusions:

  • Periodically driven Floquet insulators can effectively realize discrete-time lattice fermion models.
  • This provides a new perspective on topological phases in driven quantum systems and their relation to lattice field theories.