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Nonergodic Extended States in the Sachdev-Ye-Kitaev Model

2019; American Physical Society; Volume: 123; Issue: 12 Linguagem: Inglês

10.1103/physrevlett.123.125701

1092-0145

Tobias Micklitz, Felipe Monteiro, Alexander Altland,

Opinion Dynamics and Social Influence

We analytically study spectral correlations and many body wave functions of a Sachdev-Ye-Kitaev model deformed by a random Hamiltonian diagonal in Fock space. 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 nonuniformly distributed over Fock space. The structure of the theory suggests that such manifestations of nonergodic extendedness may be a prevalent phenomenon in many body chaotic quantum systems.