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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.17172 |
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| _version_ | 1866915806909038592 |
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| author | Alfimov, G. L. Fedotov, A. P. Murenkov, Ya. A. Zezyulin, D. A. |
| author_facet | Alfimov, G. L. Fedotov, A. P. Murenkov, Ya. A. Zezyulin, D. A. |
| contents | We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical potential and the set of bi-infinite sequences over a finite alphabet. These conditions can be checked numerically. A bi-infinite sequence can be interpreted as a code of the corresponding solution. A numerical example demonstrates the coding approach using an alphabet of three symbols. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17172 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach Alfimov, G. L. Fedotov, A. P. Murenkov, Ya. A. Zezyulin, D. A. Pattern Formation and Solitons Quantum Gases We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical potential and the set of bi-infinite sequences over a finite alphabet. These conditions can be checked numerically. A bi-infinite sequence can be interpreted as a code of the corresponding solution. A numerical example demonstrates the coding approach using an alphabet of three symbols. |
| title | Towards the complete description of stationary states of a Bose-Einstein condensate in a one-dimensional quasiperiodic lattice: A coding approach |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2602.17172 |