Symmetry oscillations in strongly interacting one-dimensional mixtures
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909371270692864 |
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| author | Musolino, Silvia Albert, Mathias Minguzzi, Anna Vignolo, Patrizia |
| author_facet | Musolino, Silvia Albert, Mathias Minguzzi, Anna Vignolo, Patrizia |
| contents | Multicomponent quantum mixtures in one dimension can be characterized by their symmetry under particle exchange. For a strongly interacting Bose-Bose mixture, we show that the time evolution of the momentum distribution from an initially symmetry-mixed state is quasiconstant for a SU(2) symmetry conserving Hamiltonian, while it displays large oscillations in time for the symmetry-breaking case where inter- and intraspecies interactions are different. Using the property that the momentum distribution operator at strong interactions commutes with the class-sum operator, the latter acting as a symmetry witness, we show that the momentum distribution oscillations correspond to symmetry oscillations, with a mechanism analogous to neutrino flavor oscillations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00194 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetry oscillations in strongly interacting one-dimensional mixtures Musolino, Silvia Albert, Mathias Minguzzi, Anna Vignolo, Patrizia Quantum Gases Multicomponent quantum mixtures in one dimension can be characterized by their symmetry under particle exchange. For a strongly interacting Bose-Bose mixture, we show that the time evolution of the momentum distribution from an initially symmetry-mixed state is quasiconstant for a SU(2) symmetry conserving Hamiltonian, while it displays large oscillations in time for the symmetry-breaking case where inter- and intraspecies interactions are different. Using the property that the momentum distribution operator at strong interactions commutes with the class-sum operator, the latter acting as a symmetry witness, we show that the momentum distribution oscillations correspond to symmetry oscillations, with a mechanism analogous to neutrino flavor oscillations. |
| title | Symmetry oscillations in strongly interacting one-dimensional mixtures |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2407.00194 |