Home
For authors
Submission status

Current
Archive (English)
Archive
   Volumes 81-92
   Volumes 41-60
   Volumes 21-40
   Volumes 1-20
   Volumes 61-80
      Volume 80
      Volume 79
      Volume 78
      Volume 77
      Volume 76
      Volume 75
      Volume 74
      Volume 73
      Volume 72
      Volume 71
      Volume 70
      Volume 69
      Volume 68
      Volume 67
      Volume 66
      Volume 65
      Volume 64
      Volume 63
      Volume 62
      Volume 61
Search
VOLUME 80 | ISSUE 8 | PAGE 609
Controlling potential traps for filtering solitons in Bose--Einstein condensates
R. Fedele, P. K. Shukla, S. De Nicola, M. A. Man'ko, V. I. Man'ko, F. S. Cataliotti
Dipartimento di Scienze Fisiche and INFN, Università Federico II di Napoli, I-80126 Napoli, Italy

PACS: 03.65.Ge, 03.75.Lm, 05.30.Jp, 05.45.Yv
Abstract
We present a controlling potential method for solving the three-dimensional Gross-Pitaevskii equation (GPE), which governs the nonlinear dynamics of 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 (unmatched case) or moving as a rigid body in the form of either coherent states (performing the Lissajous figures) or a Schrödinger cat state (matched case).


Download PS file (GZipped, 110.2K)  |  Download PDF file (191K)