Erratum: Fidelity susceptibility, scaling, and universality in quantum critical phenomena [Phys. Rev. B<b>77</b>, 245109 (2008)]

Gu, Shi-Jian; Kwok, Ho-Man; Ning, Wei; Lin, Hai–Qing

doi:10.1103/physrevb.83.159905

Cited by 57 publications

(93 citation statements)

References 4 publications

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“…Recently, the fidelity, a concept in quantum information theory, has been extensively used to identify the QPTs in various many-body systems from the perspective of the groundstate wave functions [22][23][24][25][26][27][28][29]. In a mathematical sense, the fidelity is the overlap between two ground states where the transition parameters deviate slightly.…”

Section: Resultsmentioning

confidence: 99%

Quantum phase transitions in coupled two-level atoms in a single-mode cavity

et al. 2010

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The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at the strong interatomic interaction. Similar to the original Dicke model, this system exhibits a second-order quantum phase transition from the normal to the superradiant phases. Finite-size scaling for several observables, such as the average fidelity susceptibility, the order parameter, and concurrence are performed for different interatomic interactions. The obtained scaling exponents suggest that interatomic interactions do not change the universality class.

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Section: Resultsmentioning

confidence: 99%

Quantum phase transitions in coupled two-level atoms in a single-mode cavity

et al. 2010

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“…Kosterlitz-Thouless transitions, laking a local order parameter, were successfully detected calculating the fidelity susceptibility of the XXZ spin chain 22,23 . Many other systems were also studied such as the onedimensional Hubbard model 24,25 , spin-1/2 particles on a torus 26 , the toric code model and the quantum eightvertex model 27 , the spin honeycomb Kitaev model [28][29][30][31][32] , as well as other spin systems 33,34 . In the thermodynamic limit, the ground state of a local Hamiltonian having a finite energy gap is characterised by short range correlations of local observables.…”

Section: Introductionmentioning

confidence: 99%

Entanglement entropy and entanglement spectrum of triplet topological superconductors

Oliveira

Ribeiro

Sacramento

2014

J. Phys.: Condens. Matter

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We analyse the entanglement entropy properties of a two-dimensional p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the chemical potential and the Zeeman term are varied. We show that the entanglement entropy and its derivatives clearly signal the topological transitions and provides a sensible signature of each topological phase. We separately analyse the contributions to the entanglement entropy that are proportional to or independent of the perimeter of the system, as a function of the Hamiltonian coupling constants and the geometry of the subsystem. We conclude that both contributions are generically non-universal depending on the specific Hamiltonian parameters and on the particular geometry. Nevertheless, contributions to the entanglement entropy due to different kinds of boundaries or edges simply add up. We also observe a relationship between a topological contribution to the entanglement entropy in a half-cylinder geometry and the number of edge states, and that the entanglement spectrum has robust modes associated with each edge state.

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“…In addition, the intrinsic relation between the GS fidelity and the derivative of GS energy has been studied and it is observed that they play a equivalent role in identifying the QPTs [22]. Since no a priori knowledge of the order parameter is needed, it may be a great advantage to study the scaling behavior of FS to characterize the universality in quantum critical phenomena [21].…”

Section: Introductionmentioning

confidence: 99%

Large-Nscaling behavior of the ground-state energy, fidelity, and the order parameter in the Dicke model

et al. 2009

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Within the numerically exact solution to the Dicke model proposed previously, we study the quantum criticality in terms of the ground-state (GS) energy, fidelity, and the order parameter.The finite size scaling analysis for the average fidelity susceptibility (FS) and second derivative of GS energy are performed. The correlation length exponent is obtained to be ν = 2/3, which is the same as that in Lipkin-Meshkov-Glick model obtained previously, suggesting the same universality.It is observed that average FS and second derivative of GS energy show similar critical behavior, demonstrating the intrinsic relation in the Dicke model. The scaling behavior for the order parameter and the singular part of the GS energy at the critical point are also analyzed and the obtained exponents are consistent with the previous scaling hypothesis in 1/N expansion scheme.

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Erratum: Fidelity susceptibility, scaling, and universality in quantum critical phenomena [Phys. Rev. B77, 245109 (2008)]

Cited by 57 publications

References 4 publications

Quantum phase transitions in coupled two-level atoms in a single-mode cavity

Quantum phase transitions in coupled two-level atoms in a single-mode cavity

Entanglement entropy and entanglement spectrum of triplet topological superconductors

Large-Nscaling behavior of the ground-state energy, fidelity, and the order parameter in the Dicke model

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