scholarly journals Characterization of quantum phase transition using holographic entanglement entropy

2016 ◽  
Vol 93 (12) ◽  
Author(s):  
Yi Ling ◽  
Peng Liu ◽  
Jian-Pin Wu
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Entanglement Entropy ◽  
Quantum Phase ◽  
Holographic Entanglement Entropy

scholarly journals Entanglement entropy in quasi-symmetric multi-qubit states

2015 ◽  
Vol 13 (02) ◽  
pp. 1550007 ◽  
Author(s):  
Zhi-Hua Li ◽  
An-Min Wang
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Entanglement Entropy ◽  
Ground States ◽  
Quantum Phase ◽  
Transition Points ◽  
Qubit States ◽  
Basis Vectors ◽  
Dicke States

We generalize the symmetric multi-qubit states to their q-analogs, whose basis vectors are identified with the q-Dicke states. We study the entanglement entropy in these states and find that entanglement is extruded towards certain regions of the system due to the inhomogeneity aroused by q-deformation. We also calculate entanglement entropy in ground states of a related q-deformed Lipkin–Meshkov–Glick (LMG) model and show that the singularities of entanglement can correctly signify the quantum phase transition points for different strengths of q-deformation.

scholarly journals Entanglement Entropy and Quantum Phase Transition in the O(N) σ-model

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Jiunn-Wei Chen ◽  
Shou-Huang Dai ◽  
Jin-Yi Pang
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Quantum Phase Transition ◽  
Entanglement Entropy ◽  
Quantum Phase ◽  
Leading Order ◽  
Coupling Constant ◽  
Area Law ◽  
Conformal Scalar Field

Abstract We investigate how entanglement entropy behaves in a non-conformal scalar field system with a quantum phase transition, by the replica method. We study the σ-model in 3+1 dimensions which is O(N) symmetric as the mass squared parameter μ2 is positive, and undergoes spontaneous symmetry breaking while μ2 becomes negative. The area law leading divergence of the entanglement entropy is preserved in both of the symmetric and the broken phases. The spontaneous symmetry breaking changes the subleading divergence from log to log squared, due to the cubic interaction on the cone. At the leading order of the coupling constant expansion, the entanglement entropy reaches a cusped maximum at the quantum phase transition point μ2 = 0, and decreases while μ2 is tuned away from 0 into either phase.

Characterization of quantum phase transition in theXYmodel with multipartite correlations and Bell-type inequalities

2014 ◽  
Vol 89 (2) ◽  
Author(s):  
Zhao-Yu Sun ◽  
Yu-Yin Wu ◽  
Jian Xu ◽  
Hai-Lin Huang ◽  
Bi-Fu Zhan ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase
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