Journal of Experimental and Theoretical Physics Letters

, Volume 80, Issue 8, pp 535–539

Controlling potential traps for filtering solitons in Bose-Einstein condensates

Authors

  • R. Fedele
    • Dipartimento di Scienze Fisiche and INFNUniversità Federico II di Napoli
  • P. K. Shukla
    • Ruhr-Universitat Bochum
  • S. De Nicola
    • Dipartimento di Scienze Fisiche and INFNUniversità Federico II di Napoli
  • M. A. Man’ko
    • Lebedev Physical InstituteRussian Academy of Sciences
  • V. I. Man’ko
    • Dipartimento di Scienze Fisiche and INFNUniversità Federico II di Napoli
  • F. S. Cataliotti
    • University of Catania
Condensed Matter

DOI: 10.1134/1.1846114

Cite this article as:
Fedele, R., Shukla, P.K., De Nicola, S. et al. Jetp Lett. (2004) 80: 535. doi:10.1134/1.1846114

Abstract

We present a controlling potential method for solving the three-dimensional Gross-Pitaevskii equation (GPE), which governs the nonlinear dynamics of the Bose-Einstein condensates (BECs) in an inhomogeneous potential trap. Our method allows one to construct ground and excited matter wave states whose longitudinal profiles can have bright solitons. This method provides the confining potential that filters and controls localized BECs. Moreover, it is predicted that, while the BEC longitudinal soliton profile is controlled and kept unchanged, the transverse profile may exhibit oscillatory breathers (the unmatched case) or move as a rigid body in the form of either coherent states (performing the Lissajous figures) or a Schrödinger cat state (matched case).

PACS numbers

03.65.Ge03.75.Lm05.30.Jp05.45.Yv

Copyright information

© MAIK "Nauka/Interperiodica" 2004