Semiclassical spectral function for matter waves in random potentials

Trappe, Martin I.; Delande, Dominique; Müller, Cord A.

Semiclassical spectral function for matter waves in random potentials

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Date

2015

Authors

Trappe, Martin I.

Delande, Dominique

Müller, Cord A.

DOI (citable link)

10.1088/1751-8113/48/24/245102

Collections

Physik

Publication type

Journal article

Published in

Journal of Physics A : Mathematical and Theoretical ; 48 (2015), 24. - 245102. - ISSN 0022-3689. - eISSN 1361-6447

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

Subject (DDC)

530 Physics

Keywords

Quantum gases, liquids and solids, Computational physics, Quantum information and quantum mechanics, Statistical physics and nonlinear systems

Cite This

ISO 690

TRAPPE, 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. 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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