Work

Non-ergodic delocalized phase with Poisson level statistics

Year: 2022
Type: article
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.
Source: Quantum
Language: English
Open Access status: gold
Estimated APC paid: $215
Award: G278012694
OpenAlex ID: W4225855557
FWCI: 3.325
Cites: 75
Cited by: 39
Related to: 10