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Phys. Rev. A 78, 013608 (2008) [5 pages]

Double-barrier potentials for matter-wave gap solitons

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V. Ahufinger1, B. A. Malomed2, G. Birkl3, R. Corbalán4, and A. Sanpera5
1ICREA and Grup d’Òptica, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain
2Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69979, Israel
3Institut für Angewandte Physik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
4Grup d’Òptica, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain
5ICREA and Grup de Física Teòrica, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain

Received 22 April 2008; published 7 July 2008

We investigate collisions of solitons of the gap type, supported by a lattice potential in repulsive Bose-Einstein condensates, with an effective double-barrier potential that resembles a Fabry-Perot cavity. We identify conditions under which the trapping of the entire incident soliton in the cavity is possible. Collisions of the incident soliton with an earlier trapped one are considered too. In the latter case, many outcomes of the collisions are identified, including merging, release of the trapped soliton with or without being replaced by the incoming one, and trapping of both solitons.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.013608
DOI:
10.1103/PhysRevA.78.013608
PACS:
03.75.Lm, 03.75.Kk, 03.65.−w
 
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