Scientific Results

A method for filtering and controlling soliton states of Bose-Einstein condensates

Year: 2005

Authors: Fedele R., Shukla P.K., De Nicola S., Man\’Ko M.A., Man\’Ko V.I., Cataliotti F.S.

Autors Affiliation: Dipartimento di Scienze Fisiche, Università Federico II, Complesso Universitario di M.S. Angelo, via Cintia, I-80126, Napoli, Italy; Institut für Theoretische Physik IV, Fakultät Fr Physik und Astronomie, Ruhr-Universität Bochum, D-44780, Bochum, Germany; Istituto di Cibernetica Eduardo Caianiello, CNR Comprensorio \’Aldo Olivetti\’ Fabbricato 70, Via Campi Flegrei 34, I-80078 Pozzuoli, Napoli, Italy; P.N. Lebedev Physical Institute, Leninskii Prospect 53, 119991 Moscow, Russian Federation; Dipartimento di Fisica, Universitá di Catania, Italy; LENS, via Nello Carrara 1, I-50019 Sesto Fiorentino, Catania, Firenze, Italy

Abstract: A method for filtering and controlling soliton states of the Bose-Einstein condensate is presented. The analysis is carried out by considering the 3D Gross-Pitaevskii (GP) equation with appropriate confining potential wells. Suitable matching conditions, which are relevant for filtering and mantaining localized states in experiments, are established and exact controlled analytical solutions of the 3D GP equation are found and compared with the approximate ones obtained with variational approches.

Journal/Review: PHYSICA SCRIPTA

Volume: T116      Pages from: 10  to: 17

KeyWords: Numerical methods; Solitons, Pitaevskii (GP) equation; Soliton states, Bose-Einstein condensation
DOI: 10.1238/Physica.Topical.116a00010

Citations: 7
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