Multipartite entanglement serves as a faithful detector for quantum phase transitions

Yanchao Li, Yuan-Hang Zhou, Yuan Zhang, Yan-Kui Bai, Hai‐Qing Lin · New Journal of Physics · 2024

Abstract We investigate quantum phase transitions (QPTs) in various spin chain systems using the multipartite entanglement measure τ S E F based on the monogamy inequality of squared entanglement of formation (EOF). Our results demonstrate that τ S E F is more effective and reliable than bipartite entanglement or bipartite correlation measures such as EOF, von Neumann entropy, and quantum discord in characterizing QPTs. τ S E F 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 τ S E F , 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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