Abstract

We consider, analytically and numerically, the dynamics of an atomic Bose–Einstein condensate soliton bouncing in a magnetic or optical trap between two ideal barriers oscillating harmonically with coinciding frequency and opposite phases. There are zones of parametric instability of the soliton’s central position in the trap for certain ranges of the frequency of the barriers’ oscillations. We demonstrate the Fermi–Pasta–Ulam recurrence in the Fermi–Ulam scheme for solitons: the soliton’s deviations from the trap’s center grow and decay quasi-periodically in time. The results allow one to excite and investigate various structures of matter waves in traps and to manipulate their localization and dynamics.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Dynamics of two coupled Bose-Einstein Condensate solitons in an optical lattice

Yongshan Cheng, Rongzhou Gong, and Hong Li
Opt. Express 14(8) 3594-3601 (2006)

Dynamical generation of dark solitons in spin-orbit-coupled Bose–Einstein condensates

Shuai Cao, Chuan-Jia Shan, Dan-Wei Zhang, Xizhou Qin, and Jun Xu
J. Opt. Soc. Am. B 32(2) 201-209 (2015)

Elliptic vortices in optical waveguides and self-attractive Bose-Einstein condensates

Fangwei Ye, Liangwei Dong, Boris A. Malomed, Dumitru Mihalache, and Bambi Hu
J. Opt. Soc. Am. B 27(4) 757-762 (2010)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (14)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription