Spectral functions and localization landscape theory in speckle potentials

• URL: http://arxiv.org/abs/2111.13155v1
• Date: Thu, 25 Nov 2021 16:21:32 GMT
• Title: Spectral functions and localization landscape theory in speckle potentials
• Authors: Pierre Pelletier, Dominique Delande, Vincent Josse, Alain Aspect, Svitlana Mayboroda, Douglas Arnold, and Marcel Filoche
• Abstract summary: We introduce a new method for computing the spectral functions in disordered potentials. Based on this approximation, we devise a method to compute the spectral functions using only the landscape-based effective potential. The paper demonstrates the efficiency of the proposed approach for disordered potentials with various statistical properties without requiring any adjustable parameters.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Spectral function is a key tool for understanding the behavior of Bose-Einstein condensates of cold atoms in random potentials generated by a laser speckle. In this paper we introduce a new method for computing the spectral functions in disordered potentials. Using a combination of the Wigner-Weyl approach with the landscape theory, we build an approximation for the Wigner distributions of the eigenstates in the phase space and show its accuracy in all regimes, from the deep quantum regime to the intermediate and semiclassical. Based on this approximation, we devise a method to compute the spectral functions using only the landscape-based effective potential. The paper demonstrates the efficiency of the proposed approach for disordered potentials with various statistical properties without requiring any adjustable parameters.

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