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.
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- 1 Jakub Kopyciński,
- 1 2 Maciej Łebek,
- 1 Maciej Marciniak,
- 3 4 Rafał Ołdziejewski,
- 2 Wojciech Górecki,
- 1 Krzysztof Pawłowski
- 1 Polska Akademia Nauk / Polish Academy of Sciences [PAN]
- 2 Uniwersytet Warszawski / University of Warsaw [UW]
- 3 Max-Planck-Institut für Quantenoptik / Max Planck Institute of Quantum Optics [MPQ]
- 4 Munich Center for Quantum Science and Technology [MCQST]