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Feshbach Resonance Management for Bose-Einstein Condensates

P. G. KevrekidisDepartment of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USAGeorgios TheocharisDepartment of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, GreeceD. J. FrantzeskakisDepartment of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, GreeceBoris A. MalomedDepartment of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel

2003en

ABI

Annotatsiya

An experimentally realizable scheme of periodic sign-changing modulation of the scattering length is proposed for Bose-Einstein condensates similar to dispersion-management schemes in fiber optics. Because of controlling the scattering length via the Feshbach resonance, the scheme is named Feshbach-resonance management. The modulational-instability analysis of the quasiuniform condensate driven by this scheme leads to an analog of the Kronig-Penney model. The ensuing stable localized structures are found. These include breathers, which oscillate between the Thomas-Fermi and Gaussian configuration, or may be similar to the 2-soliton state of the nonlinear Schrödinger equation, and a nearly static state ("odd soliton") with a nested dark soliton. An overall phase diagram for breathers is constructed, and full stability of the odd solitons is numerically established.

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Identifikatorlar

DOI: 10.1103/physrevlett.90.230401

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