Semiclassical spectral function for matter waves in random potentials

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2015
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Trappe, Martin I.
Delande, Dominique
Müller, Cord A.
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Zusammenfassung

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 the numerical data for Gaussian and laser speckle potentials with Gaussian spatial correlation in two dimensions.

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530 Physik
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Quantum gases, liquids and solids, Computational physics, Quantum information and quantum mechanics, Statistical physics and nonlinear systems
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ISO 690TRAPPE, Martin I., Dominique DELANDE, Cord A. MÜLLER, 2015. Semiclassical spectral function for matter waves in random potentials. In: Journal of Physics A : Mathematical and Theoretical. 2015, 48(24), 245102. ISSN 0022-3689. eISSN 1361-6447. Available under: doi: 10.1088/1751-8113/48/24/245102
BibTex
@article{Trappe2015Semic-31319,
  year={2015},
  doi={10.1088/1751-8113/48/24/245102},
  title={Semiclassical spectral function for matter waves in random potentials},
  number={24},
  volume={48},
  issn={0022-3689},
  journal={Journal of Physics A : Mathematical and Theoretical},
  author={Trappe, Martin I. and Delande, Dominique and Müller, Cord A.},
  note={Article Number: 245102}
}
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