Non-ergodic extended states in the SYK model
arXiv:1901.02389 · doi:10.1103/PhysRevLett.123.125701
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.
arXiv comment4 pages, 3 figures, supplementary material, published version
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