NDLI: Unveiling $${\pi }$$ -tangle and quantum phase transition in the one-dimensional anisotropic XY model

Content Provider	Springer Nature Link
Author	Liu, Cheng Cheng Xu, Shuai He, Juan Ye, Liu
Copyright Year	2015
Abstract	In this paper, the relationship between $${\pi }$$ -tangle and quantum phase transition (QPT) is investigated by employing the quantum renormalization-group method in the one-dimensional anisotropic XY model. The results show that all the 1-tangles increase firstly and then decrease with the anisotropy parameter $$\gamma $$ increasing, and the Coffman–Kundu–Wootters monogamy inequality is always tenable for this system. The entanglement’s status of subsystems depends on its site position, and this proposition can be generalized to a multipartite system. Meanwhile, with the increasing of the size of the system, the $${\pi }$$ -tangle decreases slowly and tends to a fixed value finally. Additionally, it exhibits a QPT and a maximum value for the next-nearest-neighbor entanglement at the critical point in our model, which is different from the case of two-body system. After several iterations of the renormalization, the quantum entanglement measure can develop two saturated values, which are associated with two different phases: spin-fluid phase and the Néel phase. To gain further insight, the nonanalytic and scaling behaviors of $${\pi }$$ -tangle have also been analyzed in detail.
Starting Page	2013
Ending Page	2024
Page Count	12
File Format	PDF
ISSN	15700755
Journal	Quantum Information Processing
Volume Number	14
Issue Number	6
e-ISSN	15731332
Language	English
Publisher	Springer US
Publisher Date	2015-04-08
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum entanglement $${\pi }$$ -tangle Heisenberg XY model Quantum phase transition Quantum Information Technology, Spintronics Quantum Computing Data Structures, Cryptology and Information Theory Quantum Physics Mathematical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Theoretical Computer Science Signal Processing Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering Modeling and Simulation

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