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Disordered Floquet many-body localized systems exhibit distinct ordered phases, unlike clean systems. These phases include equilibrium state analogs and novel ordered states with nontrivial periodic dynamics.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Periodically driven (Floquet) systems are typically expected to display a single, trivial "infinite-temperature" Floquet-ergodic phase.
  • Disorder in Floquet systems can fundamentally alter their behavior, challenging existing theoretical paradigms.

Purpose of the Study:

  • To investigate the existence and nature of ordered phases in disordered Floquet many-body localized systems.
  • To identify and characterize novel phases of matter unique to periodically driven, disordered quantum systems.

Main Methods:

  • Theoretical analysis of periodically driven spin chains with Ising symmetry.
  • Investigation of Floquet many-body localization and its interplay with disorder and driving.

Main Results:

  • Disordered Floquet many-body localized systems exhibit distinct ordered phases, not just a single trivial phase.
  • These ordered phases include analogs of equilibrium states with broken symmetries and topological order.
  • New phases characterized by order and nontrivial periodic dynamics, unique to the Floquet context, were discovered.

Conclusions:

  • The presence of disorder in Floquet many-body localized systems leads to a rich phase diagram with diverse ordered states.
  • These findings challenge the conventional understanding of clean driven systems and introduce novel quantum phases.
  • The study provides a framework for understanding complex dynamics and order in periodically driven, disordered quantum matter.