Chaotic spin-spin entanglement on a recursive lattice

TL;DR

This paper introduces an exactly solvable spin model on a recursive lattice that exhibits chaotic entanglement behavior, with potential implications for understanding quantum chaos and entanglement dynamics.

Contribution

It develops a new exactly solvable model of spin-1/2 particles on a Husimi lattice, revealing chaotic entanglement phenomena and phase transitions.

Findings

Chaotic bifurcation of entanglement observed

Chaos can slightly increase entanglement levels

Phase diagram shows transition from uniform to chaotic regimes

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.