Quantum phase transitions in a two-dimensional quantum XYX model: Ground-state fidelity and entanglement

Abstract

A systematic analysis is performed for quantum phase transitions in a two-dimensional anisotropic spin 1/2 anti-ferromagnetic XYX model in an external magnetic field. With the help of an innovative tensor network algorithm, we compute the fidelity per lattice site to demonstrate that the field-induced quantum phase transition is unambiguously characterized by a pinch point on the fidelity surface, marking a continuous phase transition. We also compute an entanglement estimator, defined as a ratio between the one-tangle and the sum of squared concurrences, to identify both the factorizing field and the critical point, resulting in a quantitative agreement with quantum Monte Carlo simulation. In addition, the local order parameter is "derived" from the tensor network representation of the system's ground state wave functions.

4+ pages, 3 figures

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Cited by in corpus (2)

• Quantum Monte Carlo simulations of fidelity at magnetic quantum phase transitions
• Numerical Study of Spin-1/2 XXZ Model on Square Lattice from Tensor Product States