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Localized Dynamics in the Floquet Quantum East Model.

Bruno Bertini1,2, Pavel Kos3, Tomaž Prosen4

  • 1School of Physics and Astronomy, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.

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We introduce a discrete-time quantum East model, revealing a persistent disorder-free localization transition. This quantum spin chain phenomenon is observable in current digital quantum simulation platforms.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Statistical mechanics

Background:

  • The continuous-time quantum East model exhibits a disorder-free localization transition.
  • This transition is characterized by a large family of nonthermal, localized eigenstates.
  • Kinetically constrained models are inspired by classical glasses.

Purpose of the Study:

  • To investigate the discrete-time version of the quantum East model.
  • To determine if the disorder-free localization transition persists in the discrete-time variant.
  • To identify observable signatures of this transition in quantum simulations.

Main Methods:

  • Analytical approaches
  • Numerical simulations
  • Analysis of nonequilibrium dynamics of the fully polarized state

Main Results:

  • The disorder-free localization transition is shown to persist for discrete times.
  • The transition is present for any finite time step (excluding a zero-measure set).
  • The transition can be detected by observing the dynamics of the fully polarized state.

Conclusions:

  • The discrete-time quantum East model exhibits a robust disorder-free localization transition.
  • This transition is experimentally observable in state-of-the-art digital quantum simulation platforms.