title: Entanglement and localization transitions in eigenstates of interacting chaotic systems.
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.
authors: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.|Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India.
authors: Arul
authors: A
authors: Lakshminarayan
authors: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.|Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata 700064, India.
authors: Shashi C L
authors: SC
authors: Srivastava
authors: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.|Technische Universität Dresden, Institut für Theoretische Physik and Center for Dynamics, 01062 Dresden, Germany.
authors: Roland
authors: R
authors: Ketzmerick
authors: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.|Technische Universität Dresden, Institut für Theoretische Physik and Center for Dynamics, 01062 Dresden, Germany.
authors: Arnd
authors: A
authors: Bäcker
authors: Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany.|Technische Universität Dresden, Institut für Theoretische Physik and Center for Dynamics, 01062 Dresden, Germany.|Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA.
authors: Steven
authors: S
authors: Tomsovic