Sound propagation in cigar-shaped Bose liquids in the Thomas-Fermi approximation: A comparative study between Gross-Pitaevskii and logarithmic models
Quantum Gases
2022-12-20 v1 Fluid Dynamics
Abstract
A comparative study is done of the propagation of sound pulses in elongated Bose liquids and Bose-Einstein condensates in Gross-Pitaevskii and logarithmic models, by means of the Thomas-Fermi approximation. It is shown that in the linear regime the propagation of small density fluctuations is essentially one-dimensional in both models, in the direction perpendicular to the cross section of a liquid's lump. Under these approximations, it is shown that the speed of sound scales as a square root of particle density in the case of the Gross-Pitaevskii liquid/condensate, but it is constant in a case of the homogeneous logarithmic liquid.
Keywords
Cite
@article{arxiv.2212.09449,
title = {Sound propagation in cigar-shaped Bose liquids in the Thomas-Fermi approximation: A comparative study between Gross-Pitaevskii and logarithmic models},
author = {Konstantin G. Zloshchastiev},
journal= {arXiv preprint arXiv:2212.09449},
year = {2022}
}
Comments
5 pages. arXiv admin note: text overlap with arXiv:2206.12211