Gravity, Bose-Einstein Condensates and Gross-Pitaevskii Equation
Abstract
We explore the effect of mutual gravitational interaction between ultra-cold gas atoms on the dynamics of Bose-Einstein condensates (BEC). Small amplitude oscillation of BEC is studied by applying variational technique to reduce the Gross-Pitaevskii equation, with gravity included, to the equation of motion of a particle moving in a potential. According to our analysis, if the s-wave scattering length can be tuned to zero using Feshbach resonance for future BEC with occupation numbers as high as , there exists a critical ground state occupation number above which the BEC is unstable, provided that its constituents interact with a gravity at short scales.
Cite
@article{arxiv.1505.00541,
title = {Gravity, Bose-Einstein Condensates and Gross-Pitaevskii Equation},
author = {Patrick Das Gupta},
journal= {arXiv preprint arXiv:1505.00541},
year = {2018}
}
Comments
This paper was presented at the Discussion Meeting on Quantum Measurements, I.I.Sc., Bangalore, in 2014