Abstract
Motivated by the experimental development of quasi-homogeneous Bose-Einstein condensates confined in box-like traps, we study numerically the dynamics of dark solitons in such traps at zero temperature. We consider the cases where the side walls of the box potential rise either as a power-law or a Gaussian. While the soliton propagates through the homogeneous interior of the box without dissipation, it typically dissipates energy during a reflection from a wall through the emission of sound waves, causing a slight increase in the soliton's speed. We characterise this energy loss as a function of the wall parameters. Moreover, over multiple oscillations and reflections in the box-like trap, the energy loss and speed increase of the soliton can be significant, although the decay eventually becomes stabilized when the soliton equilibrates with the ambient sound field.
Highlights
Dark solitons are one-dimensional nondispersive waves which arise in defocusing nonlinear systems as localized depletions of the field envelope [1]
The presence of confinement in the longitudinal direction breaks the complete integrability of the governing equation and causes the dark soliton to decay via the emission of sound waves [26,27,28,29,30]
We try to understand what happens to the dark soliton when it interacts with the soft wall of the potential, where the balancing between the two terms in the Gross-Pitaevskii equation (2.2) is altered by the presence of the potential term V (x)
Summary
Dark solitons are one-dimensional nondispersive waves which arise in defocusing nonlinear systems as localized depletions of the field envelope [1]. Experiments are employing boxlike traps to produce quasihomogeneous condensates Such traps have been realized in one [52,53], two [54], and three [55] dimensions [with tight harmonic trapping in the remaining directions in the 1D and two-dimensional (2D) cases]. These new traps feature flat-bottomed central regions and end-cap potential provided by optical or electromagnetic fields; the boundaries are soft, unlike infinite hard walls of existing mathematical models.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
