Feshbach Resonance Management for Bose-Einstein Condensates

P. G. Kevrekidis, G. Theocharis, D. J. Frantzeskakis, and Boris A. Malomed
Phys. Rev. Lett. 90, 230401 – Published 9 June 2003

Abstract

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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  • Received 8 February 2003

DOI:https://doi.org/10.1103/PhysRevLett.90.230401

©2003 American Physical Society

Authors & Affiliations

P. G. Kevrekidis1, G. Theocharis2, D. J. Frantzeskakis2, and Boris A. Malomed3

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst Massachusetts 01003-4515, USA
  • 2Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
  • 3Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel

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Issue

Vol. 90, Iss. 23 — 13 June 2003

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