Multipartite entanglement serves as a faithful detector for quantum phase transitions

• URL: http://arxiv.org/abs/2401.15593v1
• Date: Sun, 28 Jan 2024 07:26:14 GMT
• Title: Multipartite entanglement serves as a faithful detector for quantum phase transitions
• Authors: Y. C. Li, Y. H. Zhou, Y. Zhang, Y. K. Bai, and H. Q. Lin
• Abstract summary: $tau_SEF$ is more effective and reliable than bipartite entanglement or bipartite correlation measures. We have obtained the phase diagram for the XY spin chain with three and four interactions and discovered a new quantum phase.
• Score: 0.20971479389679332
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate quantum phase transitions in various spin chain systems using the multipartite entanglement measure $\tau_{SEF}$ based on the monogamy inequality of squared entanglement of formation. Our results demonstrate that $\tau_{SEF}$ is more effective and reliable than bipartite entanglement or bipartite correlation measures such as entanglement of formation, von Neumann entropy, and quantum discord in characterizing quantum phase transitions. $\tau_{SEF}$ not only detects critical points that may go unnoticed by other detectors but also avoids the issue of singularity at non-critical points encountered by other measures. Furthermore, by applying $\tau_{SEF}$, we have obtained the phase diagram for the XY spin chain with three and four interactions and discovered a new quantum phase.

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