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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Topological phases of matter

Background:

  • Symmetry-protected topological (SPT) phases are exotic states of matter characterized by symmetries.
  • Periodic driving (Floquet engineering) offers a route to realize novel quantum phases.
  • Understanding and controlling SPT phases is crucial for quantum information and materials science.

Purpose of the Study:

  • To propose and analyze two distinct methods for realizing interacting SPT phases using periodic driving.
  • To investigate the role of disorder in stabilizing these phases and enabling coherent quantum dynamics.
  • To distinguish between equilibrium and Floquet SPT phases and propose an experimental implementation.

Main Methods:

  • Engineering an equilibrium SPT phase using a driven transverse-field Ising model.
  • Realizing an intrinsically Floquet SPT phase without an equilibrium analog.
  • Utilizing disorder-induced many-body localization to prevent heating and observe coherent dynamics.
  • Identifying a unique entanglement spectrum signature based on micromotion for Floquet SPT phases.

Main Results:

  • Demonstrated emulation of an equilibrium SPT phase in a driven Ising model, stable within a specific time scale.
  • Showcased the realization of an intrinsically Floquet SPT phase with no equilibrium counterpart.
  • Confirmed that disorder and many-body localization prevent runaway heating, allowing high-energy-density quantum dynamics.
  • Identified a distinct micromotion-based entanglement spectrum signature for Floquet SPT phases.

Conclusions:

  • Two viable routes for realizing interacting SPT phases via periodic driving have been proposed and analyzed.
  • Disorder plays a crucial role in stabilizing these topological phases and enabling observable quantum dynamics.
  • A unifying experimental implementation using Rydberg-dressed atoms is proposed, with observable protected edge modes on realistic time scales.