Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
| Autor: | Kopyciński, Jakub, Łebek, Maciej, Marciniak, Maciej, Ołdziejewski, Rafał, Górecki, Wojciech, Pawłowski, Krzysztof |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | SciPost Phys. 12, 023 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.21468/SciPostPhys.12.1.023 |
| Popis: | Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a hydrodynamic approach. We use linearization to study particle (type-I) excitations and numerical minimization to study hole (type-II) excitations. We observe a good agreement between our approach and exact solutions of the Lieb-Liniger model for the particle modes and discrepancies for the hole modes. Therefore, the hydrodynamical equations find to be useful for long-wave structures like phonons and of a limited range of applicability for short-wave ones like narrow solitons. We discuss potential further applications of the method. Comment: 27 pages, 11 figures. Submission to SciPost |
| Databáze: | arXiv |
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