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From ballistic motion to localization: a phase space analysis

Andre Wobst·Gert-Ludwig Ingold·Peter Hänggi·Dietmar Weinmann
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Abstract

We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates.

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Andre Wobst, Gert-Ludwig Ingold, Peter Hänggi, Dietmar Weinmann. 2001-10-01. From ballistic motion to localization: a phase space analysis. https://doi.org/10.1140/epjb%2Fe20020125

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