Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems

TL;DR

This paper introduces a new measure for genuine tripartite entanglement in certain quantum systems and demonstrates its effectiveness in signaling quantum phase transitions in a spin chain model.

Contribution

A novel genuine tripartite entanglement monotone for (2×2×n)-dimensional pure states is proposed, linking entanglement measures to quantum phase transitions.

Findings

The entanglement measure detects quantum phase transitions.

Singular behavior of entanglement signals critical points.

Application to an exactly solvable spin chain model.

Abstract

A genuine tripartite entanglement monotone is presented for $(2\otimes 2\otimes n)$-dimensional tripartite pure states by introducing a new entanglement measure for bipartite pure states. As an application, we consider the genuine tripartite entanglement of the ground state of the exactly solvable isotropic spin-1/2 chain with three-spin interaction. It is shown that the singular behavior of the genuine tripartite entanglement exactly signals a quantum phase transition.