title: Chaotic spin-spin entanglement on a recursive lattice.
abstract: We propose an exactly solvable multisite interaction spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice for the rigorous studies of chaotic entanglement. By making use of the generalized star-triangle transformation, we map the initial model onto an effective Ising one on a Husimi lattice, which we solve then exactly by applying the recursive method. Expressing the entanglement of the Heisenberg spins, that we quantify by means of the concurrence, in terms of the magnetic quantities of the system, we demonstrate its bifurcation and chaotic behavior. Furthermore, we show that the underlying chaos may slightly enhance the amount of the entanglement and present on the phase diagram the transition lines from the uniform to periodic and from the periodic to chaotic regimes.
authors.affiliation: A.I. Alikhanyan National Science Laboratory, Alikhanian Brothers 2, 0036 Yerevan, Armenia.|Institute for Physical Research, 0203 Ashtarak-2, Armenia.|Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université Bourgogne Franche-Comté, F-21078 Dijon Cedex, France.
authors.forename: Levon
authors.initials: L
authors.lastname: Chakhmakhchyan
authors.affiliation: Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université Bourgogne Franche-Comté, F-21078 Dijon Cedex, France.
authors.forename: Stéphane
authors.initials: S
authors.lastname: Guérin
authors.affiliation: Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université Bourgogne Franche-Comté, F-21078 Dijon Cedex, France.
authors.forename: Claude
authors.initials: C
authors.lastname: Leroy