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We calculate magnetic field fluctuations above a conductor with a nonlocalresponse (spatial dispersion) and consider a large range of distances. Thecross-over from ballistic to diffusive charge transport leads to reduced noisespectrum at distances below the electronic mean free path, as compared to alocal description. We also find that the mean free path provides a lower limitto the correlation (coherence) length of the near field fluctuations. Theshort-distance behavior is common to a wide range of materials, covering alsosemiconductors and superconductors. Our discussion is aimed at atom chipexperiments where spin-flip transitions give access to material properties withmesoscopic spatial resolution. The results also hint at fundamental limits tothe coherent operation of miniaturized atom traps and matter waveinterferometers.

Magnetic near fields as a probe of charge transport in spatially dispersive conductors