Publication: Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices

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Title	Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
Authors/Editors*	Mason A. Porter, Marina Chugunova, Dmitry Pelinovsky
Where published*	Physics Review E.
How published*	Journal
Year*	2006
Volume	74
Number	-1
Pages	1-8
Publisher
Keywords	solitons, spectral stability, Feshbach resonance, Bose-Einstein condensates, optical lattice
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Abstract	We analyze gap solitons in trapped Bose-Einstein condensates in optical lattice potentials under Feshbach resonance management. Starting with a Hamiltonian-averaged Gross-Pitaevsky (GP) 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 formulas describing gap soliton solutions and examine their spectral stability using the Chebyshev interpolation method. We show that these gap solitons are unstable above the center of the first spectral gap, which is far from the threshold of local bifurcation. The instability development is illustrated with numerical simulations of the Hamiltonian-averaged GP equation.