SciPost Physics

SciPost Phys. 12, 023 (2022) · published 14 January 2022

• doi: 10.21468/SciPostPhys.12.1.023
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

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.

• De Palo et al., Formation and fragmentation of quantum droplets in a quasi-one-dimensional dipolar Bose gas
  Phys. Rev. B 106, 014503 (2022) [Crossref]
• Kinjo et al., Dynamics of quantum double dark-solitons and an exact finite-size scaling of Bose–Einstein condensation
  J. Phys. A: Math. Theor. 56, 164001 (2023) [Crossref]
• Kopyciński et al., Quantum Monte Carlo-based density functional for one-dimensional Bose-Bose mixtures
  Phys. Rev. Research 5, 023050 (2023) [Crossref]
• Kopyciński et al., Ultrawide Dark Solitons and Droplet-Soliton Coexistence in a Dipolar Bose Gas with Strong Contact Interactions
  Phys. Rev. Lett. 130, 043401 (2023) [Crossref]