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Topological Space-Time Crystal.

Yang Peng1,2

  • 1Department of Physics and Astronomy, California State University, Northridge, Northridge, California 91330, USA.

Physical Review Letters
|May 20, 2022
PubMed
Summary
This summary is machine-generated.

We introduce topological space-time crystals, novel quantum phases invariant under space-time translations. These engineered systems, unlike previous models, use single-orbital tight-binding models for 1D and 2D structures.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Topological phases of matter exhibit unique properties protected by symmetry.
  • Existing topological phases are typically static or exhibit periodic time-dependence (Floquet systems).
  • Crystalline structures often possess discrete spatial symmetries crucial for topological classification.

Purpose of the Study:

  • Introduce a new class of quantum phases: topological space-time crystals.
  • Explore systems with space-time translation symmetries instead of spatial ones.
  • Develop a framework for classifying these novel topological phases.

Main Methods:

  • Describing time-dependent quantum systems using a frequency-domain-enlarged Hamiltonian.
  • Engineering space-time crystals by applying a traveling wave-like time-dependent drive to conventional crystals.
  • Utilizing single-orbital tight-binding models for constructing 1D and 2D topological space-time crystals.

Main Results:

  • Demonstrated the existence of out-of-equilibrium noninteracting topological phases.
  • Showed that topological space-time crystals are invariant under discrete space-time translations.
  • Constructed 1D and 2D examples using minimal single-orbital models, contrasting with prior multi-orbital requirements.

Conclusions:

  • Topological space-time crystals represent a new frontier in topological matter.
  • These phases offer a distinct paradigm for topological phenomena beyond static and Floquet systems.
  • The single-orbital model approach simplifies the realization and study of these complex quantum phases.