Modulational instability in Bose-Einstein condensates in optical lattices

2001/06/30 by V. V. Konotop, M. Salerno, Mario Salerno · 18 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.65.021602

Submitted, 4 pages, 3 figures. Revised version

arxiv created 2001/09/02 · openalex publication_date 2002/01/04 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A self-consistent theory of a cylindrically shaped Bose-Einstein condensate (BEC) periodically modulated by a laser beam is presented. We show, both analytically and numerically, that modulational instability/stability is the mechanism by which wave functions of soliton type can be generated in a cylindrically shaped BEC subject to a one-dimensional optical lattice. The theory explains why bright solitons can exist in a BEC with positive scattering length and why condensates with negative scattering length can be stable and give rise to dark solitary pulses.

Citations

• Nonlinear excitations in arrays of Bose-Einstein condensates

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