Quantum phase transition of entanglement in Heisenberg spin model with quantized field

2006 ◽  
Vol 39 (2) ◽  
pp. 313-320 ◽  
Author(s):  
M.-M. He ◽  
C.-T. Xu ◽  
G. Chen ◽  
J.-Q. Liang
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Spin Model ◽  
Quantum Phase ◽  
Heisenberg Spin ◽  
Quantized Field

Quantum phase transition for the XY chain with Dzyaloshinsky–Moriya interaction

2018 ◽  
Vol 16 (06) ◽  
pp. 1850051 ◽  
Author(s):  
Biao-Liang Ye ◽  
Yan Luo ◽  
Shu-Yuan Jiang ◽  
Dan Zhang ◽  
Jian-Qin Xu ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Coherence ◽  
Coupling Parameter ◽  
Spin Model ◽  
Quantum Phase ◽  
Spin Models ◽  
Two Measures ◽  
Xy Chain ◽  
Moriya Interaction

We study quantum phase transition of the [Formula: see text] spin model with Dzyaloshinsky–Moriya interaction, by using quantum correlation measures, i.e. quantum deficit and measurement-induced disturbance. It is shown that as the Dzyaloshinsky–Moriya coupling parameter [Formula: see text] increases, the behaviors of quantum phase transition can be suppressed. We also investigate quantum phase transition for the Ising and [Formula: see text] spin models at finite temperature. It is found that quantum phase transition characterized by measurement-induced disturbance is greater than or equal to that characterized by quantum deficit. Other interesting analytical results and numerical results on quantum phase transition for the proposed spin models are also presented by applying the two measures. Furthermore, we also compare quantum deficit and measurement-induced disturbance with quantum entanglement, quantum discord and quantum coherence.

Geometric discord approach to quantum phase transition in the anisotropy XY spin model

2012 ◽  
Vol 44 (7-8) ◽  
pp. 1320-1323 ◽  
Author(s):  
W.W. Cheng ◽  
C.J. Shan ◽  
Y.B. Sheng ◽  
L.Y. Gong ◽  
S.M. Zhao ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Spin Model ◽  
Quantum Phase

Spin nonclassicality and quantum phase transition in the XY spin model

2020 ◽  
Vol 95 (10) ◽  
pp. 105107
Author(s):  
Hao Dai ◽  
Shuangshuang Fu ◽  
Shunlong Luo
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Spin Model ◽  
Quantum Phase
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