Non-ergodic delocalized phase with Poisson level statistics

• URL: http://arxiv.org/abs/2112.09700v5
• Date: Thu, 14 Sep 2023 05:57:29 GMT
• Title: Non-ergodic delocalized phase with Poisson level statistics
• Authors: Weichen Tang and Ivan M. Khaymovich
• Abstract summary: We develop a model simulating the same eigenstate structure like in MBL, but in the random-matrix setting. This model carries non-ergodic eigenstates, delocalized over the extensive number of configurations in the Hilbert space.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 models in order to carry such states, based on the transparent generalization of the Anderson localization of single-particle states and multiple resonances.

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