Chaos onset in large rings of Bose-Einstein condensates
| Autor: | Damian Wozniak, Johann Kroha, Anna Posazhennikova |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review A. 106 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.106.033316 |
| Popis: | We consider large rings of weakly-coupled Bose-Einstein condensates, analyzing their transition to chaotic dynamics and loss of coherence. Initially, a ring is considered to be in an eigenstate, i.e. in a commensurate configuration with equal site fillings and equal phase differences between neighboring sites. Such a ring should exhibit a circulating current whose value will depend on the initial, non-zero phase difference. The appearance of such currents is a signature of an established coherence along the ring. If phase difference falls between $\pi/2$ and $3\pi/2$ and interparticle interaction in condensates exceeds a critical interaction value $u_c$, the coherence is supposed to be quickly destroyed because the system enters a chaotic regime due to inherent instabilities. This is, however, only a part of the story. It turns out that chaotic dynamics and resulting averaging of circular current to zero is generally offset by a critical time-scale $t_c$, which is almost two orders of magnitude larger than the one expected from the linear stability analysis. We study the critical time-scale in detail in a broad parameter range. Comment: 11 pages, 12 figures |
| Databáze: | OpenAIRE |
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