In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the Gross-Pitaevskii equation, we study the ground sate condensate density profiles, the chemical potential, the effects of cross-terms in the quartic potential, temporal evolution of various energy components of the condensate, and width oscillations of the condensate. Results obtained are compared with corresponding results for a bose condensate in a harmonic confinement.
Bibliographical noteElectronic version of an article published as International journal of modern physics B, 25, 29, 2011, 3927-3940 10.1142/S0217979211101855
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Chaudhary, G. K., Chattopadhyay, A., & Ramakumar, R. (2011). Bose-Einstein condensate in a quartic potential: static and dynamic properties. International Journal of Modern Physics B, 25(29), 3927-3940. https://doi.org/10.1142/S0217979211101855