Acoustic oscillations in cigar-shaped logarithmic Bose-Einstein
condensate in the Thomas-Fermi approximation
- URL: http://arxiv.org/abs/2206.12211v1
- Date: Fri, 24 Jun 2022 10:52:11 GMT
- Title: Acoustic oscillations in cigar-shaped logarithmic Bose-Einstein
condensate in the Thomas-Fermi approximation
- Authors: Konstantin G. Zloshchastiev
- Abstract summary: We consider the dynamical properties of density fluctuations in the cigar-shaped Bose-Einstein condensate.
It is shown that the propagation of small density fluctuations along the long axis of a condensed lump in a strongly anisotropic trap is essentially one-dimensional.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: We consider the dynamical properties of density fluctuations in the
cigar-shaped Bose-Einstein condensate described by the logarithmic wave
equation with a constant nonlinear coupling by using the Thomas-Fermi and
linear approximations. It is shown that the propagation of small density
fluctuations along the long axis of a condensed lump in a strongly anisotropic
trap is essentially one-dimensional, while the trapping potential can be
disregarded in the linear regime. Depending on the sign of nonlinear coupling,
the fluctuations either take the form of translationally symmetric pulses and
standing waves, or become oscillations with varying amplitudes. We also study
the condensate in an axial harmonic trap, by using elasticity theory's notions.
Linear particle density and energy also behave differently depending on the
nonlinear coupling's value. If it is negative, the density monotonously grows
along with lump's radius, while energy is a monotonous function of density. For
the positive coupling, the density is bound from above, whereas energy grows
monotonously as a function of density until it reaches its global maximum.
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