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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 3 — Mar. 1, 2013
  • pp: 691–699

Multisoliton complexes of Bose–Einstein condensates in nonlinear optical lattices

Jun Chen, Qiang Lin, and Yangjian Cai  »View Author Affiliations

JOSA B, Vol. 30, Issue 3, pp. 691-699 (2013)

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We theoretically study the role of the mode structure of a multicomponent Bose–Einstein condensate (BEC) in the potential created by a nonlinear optical lattice. We describe a multisoliton complex (MSC) as a superposition of different fundamental soliton modes in the matter-wave system. Using a similarity transformation, we solve the nonlinear evolution equation of the multimode coupled matter-wave field and construct a set of analytical bright soliton solutions. A perturbation method is used to examine the linear stability of the constructed solitons. Based on these particular solutions, we numerically analyze the mode structure of a MSC. The results show that the periodicity causes a Bloch modulation in the envelopes of the density distribution. When different fundamental modes collide with each other in the nonlinear lattice, the collision-induced shifts, and the space-dependent modulation of external potentials change the density profile of the multimode soliton complex. Therefore, the mode structure, which is absent in a one-mode BEC, provides the possible multiscale modeling of the matter-wave field with extra degrees of freedom.

© 2013 Optical Society of America

OCIS Codes
(020.1670) Atomic and molecular physics : Coherent optical effects
(020.1335) Atomic and molecular physics : Atom optics
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Atomic and Molecular Physics

Original Manuscript: October 19, 2012
Revised Manuscript: December 20, 2012
Manuscript Accepted: January 29, 2013
Published: February 22, 2013

Jun Chen, Qiang Lin, and Yangjian Cai, "Multisoliton complexes of Bose–Einstein condensates in nonlinear optical lattices," J. Opt. Soc. Am. B 30, 691-699 (2013)

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