Comparative study of the geometric quantum discord in the transverse Ising model

2015 ◽  
Vol 475 ◽  
pp. 35-39
Author(s):  
Jia-Min Gong ◽  
Quan Wang ◽  
Ya-Ting Zhang
Keyword(s):  
Ising Model ◽  
Comparative Study ◽  
Quantum Discord ◽  
Geometric Quantum Discord ◽  
Transverse Ising Model

The renormalization of geometric quantum discord in the transverse Ising model

2015 ◽  
Vol 29 (03) ◽  
pp. 1550002 ◽  
Author(s):  
Xiu-Xing Zhang ◽  
Hong-Rong Li
Keyword(s):  
Ising Model ◽  
Critical Point ◽  
Ground State ◽  
Quantum Discord ◽  
Recurrence Relations ◽  
Sudden Change ◽  
System Size ◽  
Transverse Ising Model ◽  
Geometric Measure ◽  
First Derivative

Using the quantum renormalization group (QRG) method, we investigate the ground state geometric measure of quantum discord (GQD) of the transverse Ising model. The analytical expression of GQD together with the RG recurrence relations are obtained. The critical and scaling behaviors of GQD are investigated. Our results show that with the increasing of RG steps, GQD (first derivative of GQD) exhibits sudden change (dip) in behavior at the critical point, which indicates that the system undergoes phase transitions between the Ising and the paramagnetic phases. The critical exponent that governs the divergences of the first derivative of GQD is calculated. How the critical point of the model is approached as the increasing of the system size is revealed.

Trimodal random-field distribution of a transverse Ising model

1993 ◽  
Vol 47 (14) ◽  
pp. 8691-8694 ◽  
Author(s):  
F. S. Milman ◽  
P. R. Hauser ◽  
W. Figueiredo
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Field Distribution ◽  
Transverse Ising Model

Ferroelectric films described by the transverse Ising model

2009 ◽  
Vol 404 (21) ◽  
pp. 4190-4197 ◽  
Author(s):  
A. Oubelkacem ◽  
I. Essaoudi ◽  
A. Ainane ◽  
M. Saber ◽  
J. Gonzalez ◽  
...  
Keyword(s):  
Ising Model ◽  
Ferroelectric Films ◽  
Transverse Ising Model

Geometry and dynamics of one-norm geometric quantum discord

2015 ◽  
Vol 15 (1) ◽  
pp. 301-326 ◽  
Author(s):  
Zhiming Huang ◽  
Daowen Qiu ◽  
Paulo Mateus
Keyword(s):  
Quantum Discord ◽  
Geometric Quantum Discord

Thermal quantum discord and classical correlations in a two-qubit Ising model under a site-dependent magnetic field

2011 ◽  
Vol 11 (6) ◽  
pp. 1931-1950 ◽  
Author(s):  
Andreas F. Terzis ◽  
Petros Androvitsaneas ◽  
Emmanuel Paspalakis
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Quantum Discord ◽  
Classical Correlations ◽  
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