Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry
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-...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-05-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-05-15-1746/pdf/ |
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| author | T. T. Sergeev E. S. Andrianov A. A. Zyablovsky |
| author_facet | T. T. Sergeev E. S. Andrianov A. A. Zyablovsky |
| author_sort | T. T. Sergeev |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-ded920bd6a714446b461355bdf3f3cf0 |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-ded920bd6a714446b461355bdf3f3cf02025-08-20T03:49:32ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-05-019174610.22331/q-2025-05-15-174610.22331/q-2025-05-15-1746Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetryT. T. SergeevE. S. AndrianovA. A. ZyablovskySpontaneous 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.https://quantum-journal.org/papers/q-2025-05-15-1746/pdf/ |
| spellingShingle | T. T. Sergeev E. S. Andrianov A. A. Zyablovsky Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry Quantum |
| title | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| title_full | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| title_fullStr | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| title_full_unstemmed | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| title_short | Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry |
| title_sort | spontaneous symmetry emergence in a hermitian system of coupled oscillators without symmetry |
| url | https://quantum-journal.org/papers/q-2025-05-15-1746/pdf/ |
| work_keys_str_mv | AT ttsergeev spontaneoussymmetryemergenceinahermitiansystemofcoupledoscillatorswithoutsymmetry AT esandrianov spontaneoussymmetryemergenceinahermitiansystemofcoupledoscillatorswithoutsymmetry AT aazyablovsky spontaneoussymmetryemergenceinahermitiansystemofcoupledoscillatorswithoutsymmetry |