title: Analytical solitonlike solutions and the dynamics of ultracold Fermi gases in a time-dependent three-dimensional harmonic potential.
abstract: We present a theoretical study of solitonlike solutions and their dynamics of ultracold superfluid Fermi gases trapped in a time-dependent three-dimensional (3D) harmonic potential with gain or loss. The 3D analytical solitonlike solutions are obtained without introducing any additional integrability constraints used elsewhere. The propagation of both bright- and dark-soliton-like solutions is investigated. We show that the amplitudes of dark-soliton-like solutions exhibit periodic oscillation, whereas those of the bright-soliton-like ones do not show such behavior. Moreover, we highlight that the oscillation periods of dark-soliton-like solutions predicted by our approach are matched very well with those observed in a recent experiment carried out by Yefsah et al. [T. Yefsah, A. T. Sommer, M. J. H. Ku, L. W. Cheuk, W. Ji, W. S. Bakr, and M. W. Zwierlein, Nature (London) 499, 426 (2013)NATUAS0028-083610.1038/nature12338] in both Bose-Einstein condensation and unitarity regimes.
authors.forename: Ying
authors.initials: Y
authors.lastname: Wang
authors.forename: Guosen
authors.initials: G
authors.lastname: Luo
authors.forename: Yu
authors.initials: Y
authors.lastname: Zhou
authors.affiliation: State Key Laboratory of Precision Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062, China and NYU-ECNU Joint Institute of Physics at NYU-Shanghai, Shanghai 200062, China.
authors.forename: Chao
authors.initials: C
authors.lastname: Hang