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arXiv · 1711.00151

Spectral correlations in Anderson insulating wires

M. Marinho·T. Micklitz
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Abstract

We calculate the spectral level-level correlation function of Anderson insulating wires for all three Wigner-Dyson classes. A measurement of its Fourier transform, the spectral form factor, is within reach of state-of-the-art cold atom quantum quench experiments, and we find good agreement with recent numerical simulations of the latter. Our derivation builds on a representation of the level-level correlation function in terms of a local generating function which may prove useful in other contexts.

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M. Marinho, T. Micklitz. 2018-01-21. Spectral correlations in Anderson insulating wires. https://doi.org/10.1103/physrevb.97.041406

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