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arXiv 1409.6987cond-mat.quant-gascond-mat.dis-nn
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无序超流体的Josephson关系

Josephson relation for disordered superfluids

Cord A. Müller

摘要:

约瑟夫森求和规则通过单粒子格林函数的红外留数将超流密度与凝聚体的序参量联系起来。我们建立了一个有效的约瑟夫森关系的无序凝聚有效的系综平均。这种关系的优点是明确地显示了超流性如何与相干密度联系在一起,即,零动量粒子的密度对于弱无序,与微扰理论达成了详细的协议。

英文摘要:

The Josephson sum rule relates the superfluid density to the condensate order parameter, via the infrared residue of the single-particle Green's function. We establish an effective Josephson relation for disordered condensates valid upon ensemble averaging. This relation has the merit to show explicitly how superfluidity links to the coherent density, i.e., the density of particles with zero momentum. Detailed agreement is reached with perturbation theory for weak disorder.

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