Quantum Coherence and Skew Information with Quantum Phase Transition in One-Dimensional Anisotropic XY Model under Renormalization Group Method

2021 ◽  
Vol 90 (10) ◽  
pp. 104005
Author(s):  
Muhammad Javed ◽  
Muhammad Musadiq ◽  
Mahmood Shamirzaie ◽  
Salman Khan
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Quantum Phase Transition ◽  
Quantum Coherence ◽  
Quantum Phase ◽  
Group Method ◽  
Xy Model ◽  
Renormalization Group Method ◽  
One Dimensional ◽  
Skew Information

Quantum coherence and quantum phase transition in the XY model with staggered Dzyaloshinsky-Moriya interaction

2017 ◽  
Vol 510 ◽  
pp. 7-12 ◽  
Author(s):  
Ning-Ju Hui ◽  
Yang-Yang Xu ◽  
Jicheng Wang ◽  
Yixin Zhang ◽  
Zheng-Da Hu
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Coherence ◽  
Quantum Phase ◽  
Xy Model ◽  
Moriya Interaction

NEGATIVITY AND GEOMETRIC QUANTUM DISCORD AS INDICATORS OF QUANTUM PHASE TRANSITION IN THE XY MODEL WITH DZYALOSHINSKII–MORIYA INTERACTION

2013 ◽  
Vol 27 (16) ◽  
pp. 1350074 ◽  
Author(s):  
SHUAI XU ◽  
XUE KE SONG ◽  
LIU YE
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Discord ◽  
Anisotropy Parameter ◽  
Quantum Phase ◽  
Group Method ◽  
Xy Model ◽  
Anisotropic Parameter ◽  
Dm Interaction ◽  
Geometric Quantum Discord

In this paper, we use the negativity and geometric quantum discord (GQD) to investigate the quantum phase transition (QPT) in the anisotropic spin-1/2 XY model with staggered Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group method, and the results show that the negativity and GQD can both obtain the quantum critical points associated with QPTs after several iterations of the renormalization. In addition to this, we discuss how the strength of the DM interaction and anisotropic parameter make the effect on the negativity and GQD for different RG steps. At last, we give out the relationship between negativity and GQD, and verify that with anisotropy parameter and the strength of DM interaction increased, the squared negativity and the normalization of GQD tend to equal in this model.

scholarly journals Quantum phase transition of light in a one-dimensional photon-hopping-controllable resonator array

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Chun-Wang Wu ◽  
Ming Gao ◽  
Zhi-Jiao Deng ◽  
Hong-Yi Dai ◽  
Ping-Xing Chen ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
One Dimensional
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