Detecting quantum phase transition via magic resource in the 
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 spin model

Fu, Shuangshuang; Li, Xiaohui; Luo, Shunlong

doi:10.1103/physreva.106.062405

Cited by 6 publications

(1 citation statement)

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“…Subsequently, many detectors borrowed from quantum information science are used to characterize quantum criticality. These include the von Neumann entropy [19,20], entanglement of formation (EOF) [21][22][23], quantum fidelity [24,25], quantum discord (QD) [26,27], quantum coherence (QC) based on Wigner and Yanase skewed information [28][29][30], steered QC [31], and magic resource [32,33]. However, these proposed detectors have limitations in detecting certain types of QPTs [29,30,34,35], such as in detecting the Berezinskii-Kosterlitz-Thouless (BKT)-type QPT in the XXZ model.…”

Section: Introductionmentioning

confidence: 99%

Multipartite entanglement serves as a faithful detector for quantum phase transitions

Li,

Zhou,

Zhang

et al. 2024

New J. Phys.

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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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