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arXiv · 2106.15289

Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons

Jakub Kopyciński·Maciej Łebek·Maciej Marciniak·Rafał Ołdziejewski·Wojciech Górecki·Krzysztof Pawłowski
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Abstract

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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Jakub Kopyciński, Maciej Łebek, Maciej Marciniak, Rafał Ołdziejewski, Wojciech Górecki, Krzysztof Pawłowski. 2021-06-29. Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons. https://doi.org/10.21468/scipostphys.12.1.023

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