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Modulated Amplitude Waves in Bose-Einstein Condensates

Mason A. Porter·Predrag Cvitanovic
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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.

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Mason A. Porter, Predrag Cvitanovic. 2004-01-27. Modulated Amplitude Waves in Bose-Einstein Condensates. https://doi.org/10.1103/physreve.69.047201

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