Chaotic spin-spin entanglement on a recursive lattice.

Area of Science:

• Quantum physics
• Statistical mechanics
• Condensed matter theory

Background:

• Investigating complex quantum systems requires exactly solvable models.
• Understanding chaotic entanglement is crucial for quantum information science.
• Spin-1/2 Ising-Heisenberg models exhibit rich magnetic and entanglement properties.

Purpose of the Study:

• To propose and solve an exactly solvable spin-1/2 Ising-Heisenberg model on a triangulated Husimi lattice.
• To rigorously study chaotic entanglement and its relationship with magnetic properties.
• To identify phase transitions related to uniform, periodic, and chaotic regimes.

Main Methods:

• Development of a multisite interaction spin-1/2 Ising-Heisenberg model.
• Application of the generalized star-triangle transformation to map the model.
• Exact solution using the recursive method on an effective Ising model.
• Quantification of entanglement via concurrence and analysis of magnetic quantities.

Main Results:

• The model exhibits exactly solvable properties on a triangulated Husimi lattice.
• Demonstration of bifurcation and chaotic behavior in entanglement.
• Quantification of entanglement in terms of magnetic quantities.
• Identification of transition lines to uniform, periodic, and chaotic regimes on the phase diagram.

Conclusions:

• The proposed model provides a rigorous framework for studying chaotic entanglement.
• Underlying chaos can lead to a slight enhancement of quantum entanglement.
• The phase diagram clearly delineates transitions between different dynamical regimes.