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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics

Background:

  • The study investigates quasi-one-dimensional (quasi-1D) orbital compass and plaquette Ising models at finite temperatures.
  • These models are mapped to a system of free fermions interacting with localized spin-1/2 degrees of freedom.

Purpose of the Study:

  • To explore the finite-temperature dynamics of these specific quasi-1D models.
  • To identify dynamical signatures analogous to many-body localization in a disorder-free system.

Main Methods:

  • Mapping the quasi-1D orbital compass and plaquette Ising models to a free fermion model.
  • Analyzing the behavior of localized degrees of freedom as emergent disorder at finite temperatures.
  • Investigating entanglement growth and dynamical correlation function decay.

Main Results:

  • Localized degrees of freedom induce fermion localization at finite temperatures, acting as emergent disorder.
  • Entanglement exhibits logarithmic growth from generic initial states.
  • Equilibrium dynamical correlation functions show continuous exponent variation with temperature and parameters.

Conclusions:

  • The quasi-1D models provide an experimentally accessible platform for observing disorder-free many-body localization.
  • Natural dynamical probes in these systems reveal key signatures of this phenomenon.
  • The findings bridge the gap between theoretical models and experimental realization of complex quantum dynamics.