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Insights into the many-body localization transition from the structure of wave functions.
Andrea de Luca, LPT ENS
The possibility of combining interactions and disorder in a quantum system has recently become more concrete under the name of many-body localization transition. With a combination of old and new techniques, we explore the two sides of the transition from the point of view of the wave function statistics, pointing out analogies and differences with the usual Anderson transition. The many-body localization seems to be characterized more by ergodicity breaking than by concrete localization in the Fock space.