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

by Jakub Kopyciński, Maciej Łebek, Maciej Marciniak, Rafał Ołdziejewski, Wojciech Górecki, Krzysztof Pawłowski

Submission summary

As Contributors: Jakub Kopyciński · Maciej Łebek
Arxiv Link: (pdf)
Code repository:
Date submitted: 2021-07-20 15:41
Submitted by: Kopyciński, Jakub
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory


Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study elementary excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength using a hydrodynamic approach. We use linearization to study type-I excitations and numerical minimization to study 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 and of a limited range of applicability for short-wave ones. We discuss potential further applications of our method.

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Submission & Refereeing History

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Submission 2106.15289v2 on 20 July 2021

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Anonymous Report 1 on 2021-8-24 (Invited Report)


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  • validity: high
  • significance: high
  • originality: high
  • clarity: ok
  • formatting: good
  • grammar: good

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