An effective potential for one-dimensional matter-wave solitons in an axially inhomogeneous trap

Year: 2006

Authors: De Nicola S., Malomed B. A., Fedele R.

Autors Affiliation: Istituto di Cibernetica “E. Caianiello” del CNR (INO), via Campi Flegrei, 34, I-80078 Pozzuoli (Na), Italy
Department of Interdisciplinary Studies, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel

Dipartimento di Scienze Fisiche, Università Federico II and INFN Sezione di Napoli, Complesso Universitario di M.S. Angelo, via Cintia, I-80126 Napoli, Italy

Abstract: We demonstrate that a tight transverse trap with the local frequency, omega(perpendicular to), gradually varying in the longitudinal direction (x) induces an effective potential for one-dimensional solitons in a self-attractive Bose-Einstein condensate. An analytical approximation for this potential is derived by means of a variational method. In the lowest approximation, the potential is N (S + 1)omega(perpendicular to)(x), with N the soliton’s norm (number of atoms), and S its intrinsic vorticity (if any). The results can be used to devise nonuniform traps helping to control the longitudinal dynamics of the solitons. Numerical verification of the analytical predictions will be presented elsewhere. (c) 2006 Elsevier B.V. All rights reserved.

Journal/Review: PHYSICS LETTERS A

Volume: 360 (1)      Pages from: 164  to: 168

KeyWords: BEC condensate; trap; potential; soliton; quantum mechanics
DOI: 10.1016/j.physleta.2006.07.062

Citations: 30
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