Entanglement and localization transitions in eigenstates of interacting chaotic systems.

@article{Lakshminarayan2016EntanglementAL,
  title={Entanglement and localization transitions in eigenstates of interacting chaotic systems.},
  author={Arul Lakshminarayan and Shashi C. L. Srivastava and Roland Ketzmerick and Arnd B{\"a}cker and Steven Tomsovic},
  journal={Physical review. E},
  year={2016},
  volume={94 1-1},
  pages={
          010205
        }
}
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… CONTINUE READING
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