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Loop structure of the lowest Bloch band for a Bose-Einstein condensate | Dmitri Diakonov
; L. M. Jensen
; C. J. Pethick
; H. Smith
; | Date: |
16 Nov 2001 | Subject: | cond-mat | Abstract: | 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. | Source: | arXiv, cond-mat/0111303 | Services: | Forum | Review | PDF | Favorites |
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