English

Josephson relation for disordered superfluids

Quantum Gases 2015-02-11 v2 Disordered Systems and Neural Networks

Abstract

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.

Cite

@article{arxiv.1409.6987,
  title  = {Josephson relation for disordered superfluids},
  author = {Cord A. Müller},
  journal= {arXiv preprint arXiv:1409.6987},
  year   = {2015}
}

Comments

4 pages; v2: minor corrections, published version

R2 v1 2026-06-22T06:04:51.557Z