Bose-Einstein condensate in a quartic potential: Static and Dynamic properties

TL;DR

This paper investigates the static and dynamic properties of Bose-Einstein condensates in quartic potentials across multiple dimensions, using theoretical and numerical methods, and compares findings with harmonic traps.

Contribution

It provides a comprehensive analysis of BEC behavior in quartic traps, including density profiles, energy dynamics, and oscillations, extending previous harmonic trap studies.

Findings

Density profiles differ significantly from harmonic traps.

Energy components exhibit unique temporal evolution.

Width oscillations reveal distinct dynamical features.

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.