Dynamical quantum ergodicity from energy level statistics

Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems, including a formal definition of the ergodic hierarchy. How ergodic dynamics is reflected in the energy levels and eigenstates of a quantum system is the central question of quantum chaos, but a rigo...

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Bibliographic Details
Main Authors: Amit Vikram, Victor Galitski
Format: Article
Language:English
Published: American Physical Society 2023-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.033126