Publication Date
2004
Journal or Book Title
Physics Review A
Abstract
The dynamics of linear and nonlinear excitations in a Bose gas in the Tonks-Girardeau regime with longitudinal confinement are studied within a mean-field theory of quintic nonlinearity. A reductive perturbation method is used to demonstrate that the dynamics of shallow dark solitons, in the presence of an external potential, can effectively be described by a variable-coefficient Korteweg–de Vries equation. The soliton oscillation frequency is analytically obtained to be equal to the axial trap frequency, in agreement with numerical predictions obtained by Busch et al. [J. Phys. B 36, 2553 (2003)] via the Bose-Fermi mapping. We obtain analytical expressions for the evolution of both soliton and emitted radiation (sound) profiles.
Volume
70
Issue
1
Recommended Citation
Frantzeskakis, D J.; Proukakis, N P.; and Kevrekidis, PG, "Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons" (2004). Physics Review A. 1118.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1118
Comments
This is the pre-published version harvested from arXiv. The published version is located at