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A novel glassy phase emerges in optical cavities due to unique spin interactions, not disorder. This finding in a regular atomic chain suggests complex behavior and computational challenges in understanding its ground state.

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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Standard spin glasses arise from disorder.
  • Effective spin-spin interactions in optical cavities are nonlocal and nontranslational invariant.
  • Disorder in atomic positions can induce a spin glass phase.

Purpose of the Study:

  • Investigate the emergence of a glassy phase in a disorder-free optical cavity system.
  • Analyze the thermodynamics of the effective Ising model in a regular atomic chain.
  • Explore the role of Euclidean correlations in phase formation.

Main Methods:

  • Theoretical modeling of an effective Ising model.
  • Thermodynamic analysis of a one-dimensional regular atomic chain in an optical cavity.
  • Investigation of system behavior based on the dimensionless parameter α=(a/w₀)².

Main Results:

  • A self-induced glassy phase emerges exclusively from Euclidean correlations, independent of disorder.
  • The system exhibits a low-temperature glassy phase.
  • For rational α=p/q, the number of metastable states grows exponentially with q, leading to computational intractability.

Conclusions:

  • The observed glassy phase is a unique phenomenon driven by intrinsic system correlations, not external randomness.
  • The complexity of finding the ground state suggests high energy barriers and ergodicity breaking.
  • This model provides a fundamental understanding of glassy behavior in controlled quantum systems.