Non-ergodic delocalized phase with Poisson level statistics

  title={Non-ergodic delocalized phase with Poisson level statistics},
  author={Weichen Tang and Ivan M Khaymovich},
Motivated by the many-body localization (MBL) phase in generic interacting disordered quantum systems, we develop a model simulating the same eigenstate structure like in MBL, but in the random-matrix setting. Demonstrating the absence of energy level repulsion (Poisson statistics), this model carries non-ergodic eigenstates, delocalized over the extensive number of configurations in the Hilbert space. On the above example, we formulate general conditions to a single-particle and random-matrix… 

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