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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Photonics

Background:

  • Topological insulators exhibit unique edge states protected by time-reversal symmetry.
  • Floquet systems are periodically driven quantum systems with distinct topological phases.
  • Disorder typically localizes states, but can induce topological transitions in driven systems.

Purpose of the Study:

  • Investigate disorder-induced topological phase transitions in 2D periodically driven systems.
  • Explore the realization of a dynamical topological Anderson insulator.
  • Identify optimal conditions for experimental observation in photonic systems.

Main Methods:

  • Computation of the disorder-averaged Bott index for time-dependent systems.
  • Exact numerical time evolution of wave packets.
  • Analysis of edge states in disordered Floquet systems.

Main Results:

  • Confirmed a disorder-induced transition from a trivial to a topological Floquet spectrum.
  • Characterized this transition using a novel Bott index definition.
  • Verified the presence of protected edge states in the topological phase via numerical simulations.

Conclusions:

  • Disorder can drive a topological phase transition in periodically driven systems.
  • The Floquet topological Anderson insulator is a viable dynamical state.
  • Photonic lattices offer a promising platform for experimental realization.