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

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.

revised version, content reorganized, 15 pages including figures, references added

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Numerical Solution of the Gross-Pitaevskii Equation for Bose-Einstein Condensation
• Cold Bosons in Optical Lattices
• Ground state solution of Bose-Einstein condensate by directly minimizing the energy functional
• Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
• Simulations of ultracold bosonic atoms in optical lattices with anharmonic traps
• Critical Temperature for Bose-Einstein condensation in quartic potentials
• Lattice bosons in quartic confinement
• Mott transition in anharmonic confinement