Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
arXiv:2209.12497 · doi:10.22331/q-2025-05-15-1746
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.
Accepted in Quantum 2025-04-29
References in corpus (9)
- Visualization of Branch Points in PT-Symmetric Waveguides
- Quantum magnonics: when magnon spintronics meets quantum information science
- Observation of the exceptional point in cavity magnon-polaritons
- 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
- 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