Probing Berezinskii-Kosterlitz-Thouless Phase Transition of Spin-Half XXZ Chain by Quantum Fisher Information

Kiyomi Okamoto, K. Nomura

En-Jia Ye, Zheng-Da Hu, Wei Wu

Zheng Qian

The Berezinskii-Kosterlitz-Thouless phase transition of spin-1/2 XXZ chain is reinvestigated by the quantum Fisher information.Quantum Fisher informations of the whole N sites and the partial N/3 sites display remarkably similar behaviors near the critical point.The critical exponent of quantum Fisher information is obtained as β=0.47,which is consistent with the results obtained by the concurrence and quantum discord.

Xiaodong Tan, Yu Shi, Ru Hou

Qiang Zheng, Yao Yao, Xun‐Wei Xu

Abstract The Berezinskii–Kosterlitz–Thouless phase transition of spin-1/2 XXZ chain is reinvestigated by the quantum Fisher information. Quantum Fisher informations of the whole N sites and the partial N/3 sites display remarkably similar behaviors near the critical point. The critical exponent of quantum Fisher information is obtained as β = 0.47, which is consistent with the results obtained by the concurrence and quantum discord.

Qiang Zheng, Yao Yao, Xun‐Wei Xu +1 more

Combining the ideas of quantum Fisher information and quantum renormalization group method, the Berezinskii-Kosterlitz-Thouless quantum phase transition of spin- 1/2 XXZ chain is investigated. Quantum Fisher informations of the whole N sites and the partial N/3 sites are studied. They display very similar behaviors, even though their mathematical formulas are very different from each other. The universally critical exponent of quantum Fisher information is obtained as beta=0.47, which is consistent with the results obtained by the renormalized concurrence or discord. We also discuss the relationship between quantum Fisher information and entanglement