Controlling potential traps for filtering solitons in Bose-Einstein condensates

Year: 2004

Authors: Fedele R., Shukla P.K., De Nicola S., Man’ko MA., Man’ko VI., Cataliotti F.S.

Autors Affiliation: Dipartimento di Scienze Fisiche, INFN, Univ. Federico II di Napoli, I-80126 Napoli, Italy; Ruhr-Universitat Bochum, Germany; Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991, Russian Federation; University of Catania, Italy

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).

Journal/Review: JETP LETTERS

Volume: 80 (8)      Pages from: 535  to: 539

More Information: This research was partially supported by the INFN (Napoli) and by the Russian Foundation for Basic Research, project no. 03-02-16408.
KeyWords: Dark Solitons; Neutral Atoms; Vortex
DOI: 10.1134/1.1846114

Citations: 6
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