Gravity, Bose-Einstein condensates and Gross-Pitaevskii equation

被引:0
作者
Das Gupta, Patrick [1 ]
机构
[1] Univ Delhi, Dept Phys & Astrophys, Delhi 110007, India
来源
CURRENT SCIENCE | 2015年 / 109卷 / 11期
关键词
Bose-Einstein condensate; Gross-Pitaevskii equation; instability; large extra dimension gravity; DIMENSIONS; MILLIMETER; SCATTERING; RESONANCE;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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 approximate to 10(20), there exists a critical ground state occupation number above which the BEC is unstable, provided that its constituents interact with a 1/r(3) gravity at short scales.
引用
收藏
页码:1946 / 1950
页数:5
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