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Non-ergodic extended states in the SYK model | | T. Micklitz
; Felipe Monteiro
; Alexander Altland
; | | Date: |
8 Jan 2019 | | Abstract: | We analytically study spectral correlations and many body wave functions of
an SYK-model deformed by a one body contribution to the Hamiltonian. Our main
result is the identification of a wide range of intermediate coupling strengths
where the spectral statistics is of Wigner-Dyson type, while wave functions are
non-uniformly distributed over Fock space and show fractal behavior. The
structure of the theory suggests that such manifestations of non-ergodic
extendedness may be a prevalent phenomenon in strongly interacting chaotic
quantum systems. | | Source: | arXiv, 1901.2389 | | Services: | Forum | Review | PDF | Favorites | |
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