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Feshbach resonance management of Bose-Einstein condensates in optical lattices

Porter, Mason A. and Chugunova, Marina and Pelinovsky, Dmitry E. (2006) Feshbach resonance management of Bose-Einstein condensates in optical lattices. Physical Review E, 74 (3). Art. No. 036610. ISSN 1539-3755. doi:10.1103/PhysRevE.74.036610.

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We analyze gap solitons in trapped Bose-Einstein condensates (BECs) in optical lattice potentials under Feshbach resonance management. Starting with an averaged Gross-Pitaevsky equation with a periodic potential, we employ an envelope-wave approximation to derive coupled-mode equations describing the slow BEC dynamics in the first spectral gap of the optical lattice. We construct exact analytical formulas describing gap soliton solutions and examine their spectral stability using the Chebyshev interpolation method. We show that these gap solitons are unstable far from the threshold of local bifurcation and that the instability results in the distortion of their shape. We also predict the threshold of the power of gap solitons near the local bifurcation limit.

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Additional Information:©2006 U.S. Government (Received 13 July 2005; revised 23 June 2006; published 15 September 2006) We gratefully acknowledge Jit Kee Chin, Randy Hulet, Panos Kevrekidis, Boris Malomed, and Steve Rolston for useful discussions about this project. The code for numerical simulations of the NLS was modified from the code of Panos Kevrekidis. M.A.P. acknowledges support from the NSF VIGRE program and the Gordon and Betty Moore Foundation. M.Ch. was supported by the ShacrNet and NSERC. D.P. was supported by the NSERC Discovery and PREA grants.
Subject Keywords:Bose-Einstein condensation; resonant states; interpolation; bifurcation
Issue or Number:3
Record Number:CaltechAUTHORS:PORpre06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5506
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:08 Nov 2021 20:26

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