scholarly journals Quantum phase transition in a two-dimensional quantum Ising model: Tensor network states and ground-state fidelity

2018 ◽  
Vol 1087 ◽  
pp. 052011
Author(s):  
Sheng-Hao Li ◽  
Guo-Ping Lei
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Quantum Phase Transition ◽  
Ground State ◽  
Quantum Phase ◽  
Two Dimensional ◽  
Tensor Network ◽  
Quantum Ising Model ◽  
Network States ◽  
Tensor Network States

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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