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arXiv · 1411.2412

Semiclassical spectral function for matter waves in random potentials

Martin-Isbjörn Trappe·Dominique Delande·Cord A. Müller
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Abstract

An $\hbar$-expansion is presented for the ensemble-averaged spectral function of noninteracting matter waves in random potentials. We obtain the leading quantum corrections to the deep classical limit at high energies by the Wigner-Weyl formalism. The analytical results are checked with success against numerical data for Gaussian and laser speckle potentials with Gaussian spatial correlation in two dimensions.

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Martin-Isbjörn Trappe, Dominique Delande, Cord A. Müller. 2015-05-29. Semiclassical spectral function for matter waves in random potentials. https://doi.org/10.1088/1751-8113%2F48%2F24%2F245102

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