Modulational instability in Bose-Einstein condensates in optical lattices
By Vladimir V. Konotop, M. Salerno. 2001
245 citations recorded by the source corpus.
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 isthe 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.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b7cb32c9fd7c867d8b1c69c255048750ce8fdca1
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Dynamics of Bose-Einstein condensates in optical lattices (2006, background): “…= A x,t n=0,q0 x e − i/ E q0 t. 30 Assuming this functional dependence, it has been shown in different works Lenz et al., 1994; Steel and Zhang, 1998; Konotop and Salerno, 2002; Pu et al., 2003 that in the case of weakly interacting matter waves, a nonlinear Schrödinger equation for the envelope A…”