Quantum entanglement and quantum phase transition for the Ising model on a two-dimension square lattice

2016 ◽  
Vol 446 ◽  
pp. 217-223 ◽  
Author(s):  
Yu-Liang Xu ◽  
Xiang-Mu Kong ◽  
Zhong-Qiang Liu ◽  
Chun-Yang Wang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Quantum Entanglement ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Square Lattice ◽  
Two Dimension

QUANTUM PHASE TRANSITION AND ENTANGLEMENT IN THE TRANSVERSE-FIELD ISING MODEL

2006 ◽  
Vol 04 (04) ◽  
pp. 705-713 ◽  
Author(s):  
JUNPENG CAO ◽  
GANG XIONG ◽  
YUPENG WANG ◽  
X. R. WANG
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Transverse Field ◽  
Quantum Phase ◽  
Global Entanglement ◽  
Transverse Field Ising Model ◽  
Analytical Expressions ◽  
Number Of Particles

We present an exact calculation of the global entanglement for the ground state of the transverse-field Ising model. We obtain the analytical expressions for the correlation functions, concurrence and the global entanglement of the system for arbitrary number of particles in the ground state. We prove that the inflexion of the global entanglement exactly corresponds to the quantum phase transition point of the system.

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