Degenerate ground states and multiple bifurcations in a twodimensional qstate quantum Potts model
We numerically investigate the twodimensional qstate quantum Potts model on the infinite square lattice by using the infinite projected entangledpair state (iPEPS) algorithm. We show that the quantum fidelity, defined as an overlap measurement between an arbitrary reference state and the iPEPS gr... Full description
Journal Title:  Physical review. E Statistical, nonlinear, and soft matter physics, June 2014, Vol.89(6), pp.062142 
Main Author:  Dai, YanWei 
Other Authors:  Cho, Sam Young , Batchelor, Murray T , Zhou, HuanQiang 
Format:  Electronic Article 
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English 
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ID:  EISSN: 15502376 ; PMID: 25019759 Version:1 
Link:  http://pubmed.gov/25019759 
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title:  Degenerate ground states and multiple bifurcations in a twodimensional qstate quantum Potts model 
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ispartof:  Physical review. E, Statistical, nonlinear, and soft matter physics, June 2014, Vol.89(6), pp.062142 
description:  We numerically investigate the twodimensional qstate quantum Potts model on the infinite square lattice by using the infinite projected entangledpair state (iPEPS) algorithm. We show that the quantum fidelity, defined as an overlap measurement between an arbitrary reference state and the iPEPS ground state of the system, can detect qfold degenerate ground states for the Z_{q} brokensymmetry phase. Accordingly, a multiple bifurcation of the quantum groundstate fidelity is shown to occur as the transverse magnetic field varies from the symmetry phase to the brokensymmetry phase, which means that a multiplebifurcation point corresponds to a critical point. A (dis)continuous behavior of quantum fidelity at phase transition points characterizes a (dis)continuous phase transition. Similar to the characteristic behavior of the quantum fidelity, the magnetizations, as order parameters, obtained from the degenerate ground states exhibit multiple bifurcation at critical points. Each order... 
language:  eng 
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identifier:  EISSN: 15502376 ; PMID: 25019759 Version:1 
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