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- W2300360420 abstract "For short-ranged disordered quantum models in one dimension, the Many-Body-Localization is analyzed via the adaptation to the Many-Body context [M. Serbyn, Z. Papic and D.A. Abanin, PRX 5, 041047 (2015)] of the Thouless point of view on the Anderson transition : the question is whether a local interaction between two long chains is able to reshuffle completely the eigenstates (Delocalized phase with a volume-law entanglement) or whether the hybridization between tensor states remains limited (Many-Body-Localized Phase with an area-law entanglement). The central object is thus the level of Hybridization induced by the matrix elements of local operators, as compared with the difference of diagonal energies. The multifractal analysis of these matrix elements of local operators is used to analyze the corresponding statistics of resonances. Our main conclusion is that the critical point is characterized by the Strong-Multifractality Spectrum $f(0 leq alpha leq 2)=frac{alpha}{2}$, well known in the context of Anderson Localization in spaces of effective infinite dimensionality, where the size of the Hilbert space grows exponentially with the volume. As a consequence, the level statistics at criticality is the closest possible to the Poisson statistics of the Localized phase, and the Delocalized phase near the critical point is not ergodic." @default.
- W2300360420 created "2016-06-24" @default.
- W2300360420 creator A5090565816 @default.
- W2300360420 date "2016-03-15" @default.
- W2300360420 modified "2023-09-27" @default.
- W2300360420 title "Many-Body-Localization Transition : strong multifractality spectrum at the critical point towards a non-ergodic delocalized phase" @default.
- W2300360420 hasPublicationYear "2016" @default.
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