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Localization Counteracts Decoherence in Noisy Floquet Topological Chains.

M-T Rieder1, L M Sieberer2,3,4, M H Fischer5

  • 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel.

Physical Review Letters
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Summary
This summary is machine-generated.

Disorder can protect topological phases in periodically driven (Floquet) systems from decoherence. Localization in the bulk surprisingly slows the decay of protected boundary states, offering experimental advantages.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Topological phases

Background:

  • Topological phases in periodically driven (Floquet) systems require perfect time-periodicity.
  • Deviations from periodicity cause decoherence, leading to the leakage of boundary (end) states into the bulk.

Purpose of the Study:

  • To investigate how the nature of bulk states influences the decay of topologically protected end states in one-dimensional Floquet systems.
  • To explore the role of disorder in counteracting decoherence and protecting topological phases.

Main Methods:

  • Analytical derivation using a novel, discrete-time Floquet-Lindblad formalism.
  • Numerical simulations to confirm analytical findings.

Main Results:

  • The decay rate of topologically protected end states depends on bulk state localization.
  • Dispersive bulk states lead to exponential decay, while localized bulk states result in diffusive decay.
  • Disorder can localize bulk states, slowing decay and counteracting decoherence, even when breaking protective symmetries.

Conclusions:

  • Disorder can be a crucial resource for protecting Floquet topological phases from decoherence in experimental settings.
  • Tailoring disorder offers a pathway to enhance the stability of topological states in driven quantum systems.