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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2508.11245 |
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| _version_ | 1866915494643105792 |
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| author | Öhberg, Patrik Wright, Ewan M. |
| author_facet | Öhberg, Patrik Wright, Ewan M. |
| contents | We build the case that our published chiral soliton model [Phys. Rev. Lett. 124, 250402 (2019)] can lead to a genuine quantum time crystal for smaller atom numbers. To do this we compare results from the chiral soliton model with exact numerical solutions for the ground state of the three-particle Schrödinger equation in the limit that the spatial profile of the soliton is largely independent of its center-of-mass motion. The connection between the two approaches is found via the Page-Wootters mechanism, and this is what allows for dynamical evolution even in the quantum ground state, as required for a genuine quantum time crystal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11245 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism Öhberg, Patrik Wright, Ewan M. Quantum Gases Quantum Physics We build the case that our published chiral soliton model [Phys. Rev. Lett. 124, 250402 (2019)] can lead to a genuine quantum time crystal for smaller atom numbers. To do this we compare results from the chiral soliton model with exact numerical solutions for the ground state of the three-particle Schrödinger equation in the limit that the spatial profile of the soliton is largely independent of its center-of-mass motion. The connection between the two approaches is found via the Page-Wootters mechanism, and this is what allows for dynamical evolution even in the quantum ground state, as required for a genuine quantum time crystal. |
| title | Quantum Time Crystals and Interacting Chiral Gauge Theories in Atomic BECs III: Role of the Page-Wootters mechanism |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2508.11245 |