"Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices"

One of my articles was published in Physical Review E a couple weeks ago:


Feshbach resonance management of Bose-Einstein condensates in optical lattices

Mason A. Porter
Department of Physics and Center for the Physics of Information, California Institute of Technology, Pasadena, California 91125, USA

Marina Chugunova and Dmitry E. Pelinovsky
Department of Mathematics & Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1

(Received 13 July 2005; revised 23 June 2006; published 15 September 2006)

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.



This article, by the way, was the one with which I experienced the page proof from Hell, so it is especially significant that it is officially done in all senses of the word. (I found errors during the proofing stage, so we actually had to go back to get another referee report. Thankfully, things worked out, but it was excruciatingly painful.)