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摘要翻译：
从理论上考虑了由简谐势和随机势叠加而成的外势中的玻色-爱因斯坦凝聚。通过半定量分析，我们发现无序的大小、形状和激发能都是无序强度的函数。对于正散射长度和足够强的无序度，凝聚体衰变为每一个Larkin长度${\cal L}$大小的碎片。这种状态在很大的粒子数范围内是稳定的。呼吸模式的频率为$1/{\cal L}^2$。对于负散射长度，一个尺寸为${\cal L}$的凝聚体可能作为亚稳态存在。这些发现推广到各向异性陷阱。
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英文标题：
《Bose-Einstein Condensates in Strongly Disordered Traps》
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作者：
T. Nattermann and V.L. Pokrovsky
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative analysis we find the size, shape and excitation energy as a function of the disorder strength. For positive scattering length and sufficiently strong disorder the condensate decays into fragments each of the size of the Larkin length ${\cal L}$. This state is stable over a large range of particle numbers. The frequency of the breathing mode scales as $1/{\cal L}^2$. For negative scattering length a condensate of size ${\cal L}$ may exist as a metastable state. These finding are generalized to anisotropic traps.
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PDF链接：
https://arxiv.org/pdf/707.4444
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