Semiclassical spectral function for matter waves in random potentials

2014/11/30 by Martin-Isbjörn Trappe, Dominique Delande, Cord A. Müller · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #cond-mat.quant-gas

paper · pdf · doi:10.1088/1751-8113/48/24/245102

published as J. Phys. A: Math. Theor. 48 (2015) 245102 · 18 pages, 3 figures; v2: minor corrections, published version

openalex publication_date 2015/05/27 · arxiv created 2015/05/29 · arxiv updated 2015/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

An ℏ-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.

Citations

• Distribution functions in physics: Fundamentals
• On the principles of elementary quantum mechanics
• Random-matrix physics: spectrum and strength fluctuations
• One-dimensional Anderson localization in certain correlated random potentials
• Localization of Matter Waves in Two-Dimensional Disordered Optical Potentials
• Quantum mechanics as a statistical theory
• On the Quantum Correction For Thermodynamic Equilibrium
• Characteristic Vectors of Bordered Matrices With Infinite Dimensions

Cited by

• Measurement of Spectral Functions of Ultracold Atoms in Disordered Potentials
• Localization of wave packets in one-dimensional random potentials
• Spectral functions of one-dimensional systems with correlated disorder
• Postquench prethermalization in a disordered quantum fluid of light
• Coherent backscattering and forward-scattering peaks in the quantum kicked rotor
• Semiclassical spectral function and density of states in speckle potentials

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