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Arresting Classical Many-Body Chaos by Kinetic Constraints.

Aydin Deger1, Sthitadhi Roy2,3,4, Achilleas Lazarides1

  • 1Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom.

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Summary
This summary is machine-generated.

Kinetic constraints cause a dynamical phase transition in spin chains, leading to a localized phase where chaos freezes. This unexpected localization arises from immobile spin segments called frozen islands.

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Area of Science:

  • Condensed matter physics
  • Quantum chaos
  • Statistical mechanics

Background:

  • Classical many-body chaos is fundamental to understanding complex systems.
  • Out-of-time-ordered correlators (OTOCs) are key diagnostics for quantum chaos.
  • Investigating classical analogs of quantum phenomena offers unique insights.

Purpose of the Study:

  • To explore the impact of kinetic constraints on classical many-body chaos.
  • To identify and characterize dynamical phase transitions in a Heisenberg spin chain.
  • To understand the mechanisms behind unexpected localization in chaotic systems.

Main Methods:

  • Utilized a classical analog of the out-of-time-ordered correlator (OTOC).
  • Studied a translationally invariant Heisenberg spin chain.
  • Analyzed the system's behavior under varying strengths of kinetic constraints.

Main Results:

  • A "dynamical phase transition" was observed, driven by constraint strength.
  • A delocalized phase with ballistic OTOC propagation was identified.
  • A localized phase emerged where the OTOC ceased propagation, freezing the system.
  • Localization was attributed to the formation of "frozen islands" of immobile spins.

Conclusions:

  • Kinetic constraints can induce unexpected localization in classical spin chains.
  • The formation of frozen islands is the dominant mechanism for this localization.
  • This work provides a classical perspective on chaos and localization phenomena.