Exact Solution of a Yang-Baxter Spin-1/2 Chain Model and Quantum Entanglement

TL;DR

This paper presents an exact solution to a novel inhomogeneous and anisotropic Yang-Baxter spin-1/2 chain model, analyzing how inhomogeneous couplings influence entanglement and its relation to quantum criticality.

Contribution

It provides an exact solution for a new spin chain model and explores the impact of inhomogeneous couplings on entanglement and quantum phase transitions.

Findings

Inhomogeneous couplings alter entanglement behavior differently from homogeneous cases.

Entanglement remains a reliable indicator of quantum criticality despite inhomogeneity.

Exact analytical results for a complex spin chain model are obtained.

Abstract

Entanglement is believed to be crucial in macroscopic physical systems for understanding the collective quantum phenomena such as quantum phase transitions. We start from and solve exactly a novel Yang-Baxter spin-1/2 chain model with inhomogeneous and anisotropic short-range interactions. For the ground state, we show the behavior of neighboring entanglement in the parameter space and find that the inhomogeneous coupling strengths affect entanglement in a distinctive way from the homogeneous case, but this would not affect the coincidence between entanglement and quantum criticality.