Dynamical instability and dispersion management of an attractive condensate in an optical lattice

Details Dynamical instability and dispersion management of an attractive condensate in an optical lattice Dynamical instability and dispersion management of an attractive condensate in an optical lattice

2007-06-27

arxiv.org/abs/0706.3995v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.76.041601

We investigate the stability of an attractive Bose-Einstein condensate in a moving 1D optical lattice in the presence of transverse confinement. By means of a Bogoliubov linear stability analysis we find that the system is dynamically unstable for low quasimomenta and becomes stable near the band edge, in a specular fashion with respect to the repulsive case. For low interactions the instability occurs via long wavelength excitations that are not sufficient for spoiling the condensate coherence, producing instead an oscillating density pattern both in real and momentum space. This behaviour is illustrated by simulations for the expansion of the condensate in a moving lattice.

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