Bose-Einstein condensate in a quartic potential: static and dynamic properties

G.K. Chaudhary; Amit Chattopadhyay; R. Ramakumar

doi:10.1142/S0217979211101855

Bose-Einstein condensate in a quartic potential: static and dynamic properties

G.K. Chaudhary, Amit Chattopadhyay, R. Ramakumar

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	3927-3940
Number of pages	4
Journal	International Journal of Modern Physics B
Volume	25
Issue number	29
DOIs	https://doi.org/10.1142/S0217979211101855
Publication status	Published - 20 Nov 2011

Bibliographical note

Electronic version of an article published as International journal of modern physics B, 25, 29, 2011, 3927-3940 10.1142/S0217979211101855
© copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijmpb

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10.1142/S0217979211101855

Bose-Einstein condensate in a quartic potential
Electronic version of an article published as International journal of modern physics B, 25, 29, 2011, 3927-3940 10.1142/S0217979211101855 © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijmpb
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abstract = "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.",

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AB - 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.

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Bose-Einstein condensate in a quartic potential: static and dynamic properties

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