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Spatial period-doubling in Bose-Einstein condensates in an optical lattice | M. Machholm
; A. Nicolin
; C. J. Pethick
; H. Smith
; | Date: |
9 Jul 2003 | Subject: | Soft Condensed Matter | cond-mat.soft | Abstract: | We demonstrate that there exist stationary states of Bose-Einstein condensates in an optical lattice that do not satisfy the usual Bloch periodicity condition. Using the discrete model appropriate to the tight-binding limit we determine energy bands for period-doubled states in a one-dimensional lattice. In a complementary approach we calculate the band structure from the Gross-Pitaevskii equation, considering both states of the usual Bloch form and states which have the Bloch form for a period equal to twice that of the optical lattice. We show that the onset of dynamical instability of states of the usual Bloch form coincides with the occurrence of period-doubled states with the same energy. The period-doubled states are shown to be related to periodic trains of solitons. | Source: | arXiv, cond-mat/0307183 | Services: | Forum | Review | PDF | Favorites |
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