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Modulated Amplitude Waves in Bose-Einstein Condensates | | Mason A. Porter
; Predrag Cvitanovic
; | | Date: |
19 Jul 2003 | | Subject: | Chaotic Dynamics; Pattern Formation and Solitons | nlin.CD cond-mat nlin.PS | | Abstract: | We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced nonlinear oscillator, to which we apply Lindstedt’s method and multiple-scale perturbation theory to determine the dependence of the intensity of periodic orbits (``modulated amplitude waves’’) on their wave number. We explore BEC band structure in detail using Hamiltonian perturbation theory and supporting numerical simulations. | | Source: | arXiv, nlin.CD/0307032 | | Services: | Forum | Review | PDF | Favorites | |
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