English

Semiclassical spectral function for matter waves in random potentials

Quantum Gases 2015-06-01 v2

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.

Keywords

Cite

@article{arxiv.1411.2412,
  title  = {Semiclassical spectral function for matter waves in random potentials},
  author = {Martin-Isbjörn Trappe and Dominique Delande and Cord A. Müller},
  journal= {arXiv preprint arXiv:1411.2412},
  year   = {2015}
}

Comments

18 pages, 3 figures; v2: minor corrections, published version

R2 v1 2026-06-22T06:53:22.869Z