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Degenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model

We numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair 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, Yan-Wei
Other Authors: Cho, Sam Young , Batchelor, Murray T , Zhou, Huan-Qiang
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: E-ISSN: 1550-2376 ; PMID: 25019759 Version:1
Link: http://pubmed.gov/25019759
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title: Degenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model
format: Article
creator:
  • Dai, Yan-Wei
  • Cho, Sam Young
  • Batchelor, Murray T
  • Zhou, Huan-Qiang
subjects:
  • Magnetic Fields
  • Models, Theoretical
  • Quantum Theory
ispartof: Physical review. E, Statistical, nonlinear, and soft matter physics, June 2014, Vol.89(6), pp.062142
description: We numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair 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 q-fold degenerate ground states for the Z_{q} broken-symmetry phase. Accordingly, a multiple bifurcation of the quantum ground-state fidelity is shown to occur as the transverse magnetic field varies from the symmetry phase to the broken-symmetry phase, which means that a multiple-bifurcation 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
source:
identifier: E-ISSN: 1550-2376 ; PMID: 25019759 Version:1
fulltext: fulltext
issn:
  • 15502376
  • 1550-2376
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titleDegenerate ground states and multiple bifurcations in a two-dimensional q-state quantum Potts model
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subjectMagnetic Fields ; Models, Theoretical ; Quantum Theory
descriptionWe numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair 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 q-fold degenerate ground states for the Z_{q} broken-symmetry phase. Accordingly, a multiple bifurcation of the quantum ground-state fidelity is shown to occur as the transverse magnetic field varies from the symmetry phase to the broken-symmetry phase, which means that a multiple-bifurcation 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...
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descriptionWe numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair 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 q-fold degenerate ground states for the Z_{q} broken-symmetry phase. Accordingly, a multiple bifurcation of the quantum ground-state fidelity is shown to occur as the transverse magnetic field varies from the symmetry phase to the broken-symmetry phase, which means that a multiple-bifurcation 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...
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abstractWe numerically investigate the two-dimensional q-state quantum Potts model on the infinite square lattice by using the infinite projected entangled-pair 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 q-fold degenerate ground states for the Z_{q} broken-symmetry phase. Accordingly, a multiple bifurcation of the quantum ground-state fidelity is shown to occur as the transverse magnetic field varies from the symmetry phase to the broken-symmetry phase, which means that a multiple-bifurcation 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...
pmid25019759
doi10.1103/PhysRevE.89.062142
date2014-06