Dynamics of Bose-Einstein Condensates in a sinusoidal potential

Authors

John Levine B. Duanan ⋅ PH National Institute of Physics, University of the Philippines Diliman
Roland Christopher F. Caballar ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We investigate the stationary states and dynamics of Bose-Einstein Condensates (BECs) in a sinusoidal potential by solving the one-dimensional Gross-Pitaevskii equation. We utilize GPELab, an open access and robust Matlab toolbox which can simulate many comprehensive physics problems involving BECs. We varied the parameters of the potential and examined how the value of the ground state energy changed. For the dynamics, we were able to observe a single localized peak at t < 0.1, but the probability density speads out beyond this time. Localized peaks were also observed throughout the region of evolution, implying that for this system, it is possible for the bulk of the condensate to be found at one of these points corresponding to the peaks of the probability density.

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Issue

2016: Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2016-PA-16

Section

Poster Session PA

Published

2016-08-18

How to Cite

[1]

JLB Duanan and RCF Caballar, Dynamics of Bose-Einstein Condensates in a sinusoidal potential, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-PA-16 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-PA-16.