Feshbach resonance management of Bose-Einstein condensates in optical lattices

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.74.036610· OSTI ID:21072316

Porter, Mason A; Chugunova, Marina; Pelinovsky, Dmitry E ^[1]

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1. Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, California 91125 (United States)

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.

• OSTI ID: 21072316
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 74; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BIFURCATION
BOSE-EINSTEIN CONDENSATION
INSTABILITY
INTERPOLATION
PERIODICITY
POTENTIALS
RESONANCE
SOLITONS
TRAPPING
WAVE EQUATIONS