# Non-ergodic delocalized phase with Poisson level statistics

@article{Tang2021NonergodicDP,
title={Non-ergodic delocalized phase with Poisson level statistics},
author={Weichen Tang and Ivan M Khaymovich},
journal={Quantum},
year={2021},
volume={6},
pages={733}
}
• Published 17 December 2021
• Physics
• Quantum
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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