用多体波函数的Berry联系解释超流性
Explanation of Superfluidity Using the Berry Connection for Many-Body Wave Functions
摘要：
我们证明了两种超流现象，弱相互作用玻色子的超流性和BCS模型的超导电性，统一使用集体模式所产生的Berry连接多体波函数。超流性的产生是由于这种集体模的存在，这种集体模是通过粒子间的相互作用而稳定的，这种相互作用引起了参与集体模的粒子数的波动，这表明这种集体模的存在及其稳定性比电子对的形成对超导电性的发生更为重要。
英文摘要：
We show that two phenomena of superfluidity, superfluidity of weakly interacting bosons and superconductivity of the BCS model, are unified using the collective mode arising from the Berry connection for many-body wave functions. The superfluidity is attributed to the presence of this mode, which is stabilized by the interaction between particles that causes fluctuations of the number of particles participating in it. It is suggested that the existence of this collective mode and its stabilization is more fundamental to the occurrence of superconductivity than the electron-pair formation.
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