Physics – Condensed Matter
Scientific paper
2001-11-16
Physics
Condensed Matter
4 pages, 7 figures
Scientific paper
10.1103/PhysRevA.66.013604
We investigate analytically and numerically Bloch waves for a Bose--Einstein condensate in a sinusoidal external potential. At low densities the dependence of the energy on the quasimomentum is similar to that for a single particle, but at densities greater than a critical one the lowest band becomes triple-valued near the boundary of the first Brillouin zone and develops the structure characteristic of the swallow-tail catastrophe. We comment on the experimental consequences of this behavior.
Diakonov Dmitri
Jensen Lars Melwyn
Pethick Christopher J.
Smith Hal
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