Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry

Abstract

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks symmetry. In the example of two coupled oscillators interacting non-symmetrically with a set of oscillators whose frequencies uniformly fill a finite frequency range, we demonstrate that the system state can acquire symmetry that is not inherent in the system Hamiltonian. The emergence of symmetry is manifested as a change in the system dynamics, which can be interpreted as a phase transition in a Hermitian system that lacks symmetry.

arXiv commentAccepted in Quantum 2025-04-29

References in corpus (25)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Non-Markovian dynamics in open quantum systems
• PT-Symmetric Quantum Mechanics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Topological energy transfer in an optomechanical system with exceptional points
• Visualization of Branch Points in PT-Symmetric Waveguides
• Quantum magnonics: when magnon spintronics meets quantum information science
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Pump-induced Exceptional Points in Lasers
• Enhanced sensitivity operation of an optical gyroscope near an exceptional point
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Observation of the exceptional point in cavity magnon-polaritons
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Higher-order exceptional point in a cavity magnonics system
• Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
• Observation of a non-Hermitian phase transition in an optical quantum gas
• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation
• Molding Molecular and Material Properties by Strong Light-Matter Coupling
• Exceptional points as lasing pre-thresholds in open-cavity lasers
• Magnon dynamics in parity-time-symmetric dipolarly coupled waveguides and magnonic crystals
• Strong-coupling-assisted formation of coherent radiation below the lasing threshold
• Signature of exceptional point phase transition in Hermitian systems
• Environment-assisted strong coupling regime