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Symmetry breaking and competition effect in phase transitions.

Shuang-Liang Yang1, Wei Luo1, Fazal Badshah2

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Summary

This study explores quantum critical behaviors in photon-magnon models. The coupling phase protects quantum phase transitions (QPTs) and influences tricritical points, revealing insights into symmetry breaking and non-Hermiticity.

Keywords:
competition effectnon-Hermitian Hamiltonianquantum phase transitionssystemic symmetry breaking

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Photonics and magnonics

Background:

  • Photon-magnon systems exhibit competition between level attraction and repulsion.
  • Hermiticity in these systems is governed by a phase-dependent coupling factor, distinguishing Hermitian (φ=0) and non-Hermitian (φ=π) regimes.

Purpose of the Study:

  • To investigate quantum critical behaviors in Hermitian and non-Hermitian photon-spin models.
  • To analyze the protective effect of the coupling phase on quantum phase transitions (QPTs).
  • To explore the influence of nonlinear drives, dissipation, and decoherence on tricritical points.

Main Methods:

  • Theoretical modeling of a photon-magnon system with a second-order drive.
  • Numerical analysis of quantum critical behaviors.
  • Examination of coupling phase effects on Hermiticity and phase transitions.

Main Results:

  • The coupling phase (φ) demonstrates a protective effect on QPTs.
  • New tricritical points are identified, tunable by nonlinear drives, dissipation, and decoherence.
  • The competition effect leads to a reversal in order parameter values.

Conclusions:

  • The coupling phase is crucial for protecting QPTs in photon-magnon systems.
  • Nonlinear drives and environmental factors significantly modulate tricritical points.
  • This research offers insights into symmetry breaking and non-Hermiticity in quantum phase transitions.