Entanglement and localization transitions in eigenstates of interacting chaotic systems
Quantum Physics
2016-08-10 v1 Strongly Correlated Electrons
Chaotic Dynamics
Abstract
The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von-Neumann entropy, Havrda-Charv{\' a}t-Tsallis entropies, and the averaged inverse participation ratio. All the entropies are shown to follow a remarkably simple exponential form, which describes a universal and rapid transition to nearly maximal entanglement for increasing interaction strength. An unexpectedly exact relationship between the subsystem averaged inverse participation ratio and purity is derived that infers the transition in the localization as well.
Keywords
Cite
@article{arxiv.1601.07061,
title = {Entanglement and localization transitions in eigenstates of interacting chaotic systems},
author = {Arul Lakshminarayan and Shashi C. L. Srivastava and Roland Ketzmerick and Arnd Bäcker and Steven Tomsovic},
journal= {arXiv preprint arXiv:1601.07061},
year = {2016}
}