Ground state energy of mean field model of interacting bosons in Bernoulli potential
Ground state energy of mean field model of interacting bosons in Bernoulli potential
复制标题
伯努利势相互作用玻色子平均场模型的基态能量
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
J. Wehr
中科院分区：
文献类型：
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作者：
Michael Bishop;J. Wehr
本文在Gross-Pitaevskii平均场近似下，探讨了随机伯努利势下“软核”玻色子相互作用系统的基态能量。首先，我们证明了一个状态由于相互作用而离域的条件。利用这一条件，导出了大系统极限下小耦合常数下每粒子基态能量的渐近性。我们的方法直接描述了在给定的随机势实现中基态的形状。
This paper explores the ground state energy of a system of interacting “soft core” bosons in a random Bernoulli potential in the Gross-Pitaevskii mean-field approximation. First, we prove a condition for a state to delocalize due to interaction. Using this condition, asymptotics for ground state energy per particle are derived in the large system limit for small values of the coupling constant. Our methods directly describe the shape of the ground state in a given realization of the random potential.