Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909617140793344 |
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| author | Sergeev, T. T. Andrianov, E. S. Zyablovsky, A. A. |
| author_facet | Sergeev, T. T. Andrianov, E. S. Zyablovsky, A. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_12497 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry Sergeev, T. T. Andrianov, E. S. Zyablovsky, A. A. Quantum Physics Optics 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. |
| title | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| topic | Quantum Physics Optics |
| url | https://arxiv.org/abs/2209.12497 |