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Journal Article

Entanglement and localization transitions in eigenstates of interacting chaotic systems

MPS-Authors
/persons/resource/persons184693

Lakshminarayan,  Arul
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons189186

Srivastava,  Shashi C. L.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184641

Ketzmerick,  Roland
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184327

Bäcker,  Arnd
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons185009

Tomsovic,  Steven
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

http://arxiv.org/pdf/1601.07061.pdf
(Preprint)

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Citation

Lakshminarayan, A., Srivastava, S. C. L., Ketzmerick, R., Bäcker, A., & Tomsovic, S. (2016). Entanglement and localization transitions in eigenstates of interacting chaotic systems. Physical Review E, 94(1): 010205. doi:10.1103/PhysRevE.94.010205.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-1E93-6
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-Charvát-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 prescribes the transition in the localization as well.