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Coherence and Quantum Phase Transition in Spin Models
Authors:Wang  Tingting  Yin  Rongzhang  Ye  Mingquan  Wan  Nan  Shi  Jiadong
Institution:1.School of Medical Information, Wannan Medical College, Wuhu, 241002, China
;2.Research Center of Health Big Data Mining and Applications, Wannan Medical College, Wuhu, 241002, China
;3.Research Centre of Quantum Information Technology, Fuyang Normal University, Fuyang, 236037, China
;
Abstract:

Based on quantum renormalization group (QRG) method, we investigated quantum coherence and quantum phase transition (QPT) in XXZ chain and XY chain, respectively. The results show that both the geometric quantum coherence and entropic coherecne can accurately indicate the QPT at critical point after enough iteration steps. Moreover, the increasing anisotropy parameter destroys the coherence in the XXZ chain, while enhances it in the XY chain. In addition, focused on the XXZ chain we analyzed the nonanalytic phenomena and scaling behaviors with different theoretical exponents in detail.

Keywords:
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