Anderson localization of Bogoliubov excitations on quasi-1D strips
Christopher Gaul, Pierre Lugan, Cord A. M\"uller
TL;DR
This paper investigates how disorder causes localization of Bogoliubov excitations in quasi-1D lattice Bose gases, providing numerical and analytical insights into the inverse localization length across different energies and geometries.
Contribution
It introduces a numerical transfer-matrix method and analytical formulas to accurately describe Anderson localization of Bogoliubov excitations in disordered quasi-1D Bose gases.
Findings
Inverse localization length depends on energy and strip width.
Analytical formulas match numerical results well.
Localization behavior varies with disorder strength and geometry.
Abstract
Anderson localization of Bogoliubov excitations is studied for disordered lattice Bose gases in planar quasi-one-dimensional geometries. The inverse localization length is computed as function of energy by a numerical transfer-matrix scheme, for strips of different widths. These results are described accurately by analytical formulas based on a weak-disorder expansion of backscattering mean free paths.
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