Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy

Abstract

We study the fidelity susceptibility in an antiferromagnetic spin-1 XXZ chain numerically. By using the density-matrix renormalization group method, the effects of the alternating single-site anisotropy $D$ on fidelity susceptibility are investigated. Its relation with the quantum phase transition is analyzed. It is found that the quantum phase transition from the Haldane spin liquid to periodic Néel spin solid can be well characterized by the fidelity. Finite size scaling of fidelity susceptibility shows a power-law divergence at criticality, which indicates the quantum phase transition is of second order. The results are confirmed by the second derivative of the ground-state energy. We also study the relationship between the entanglement entropy, the Schmidt gap and quantum phase transitions. Conclusions drawn from these quantum information observables agree well with each other.

arXiv comment5 pages, 6 figures, accepted by J. Phys.: Condens. Matter

References in corpus (34)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Entanglement spectrum of a topological phase in one dimension
• Fidelity approach to quantum phase transitions
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Emergent properties hidden in plane view: Strong electronic correlations at oxide interfaces
• Ground State Phase Diagram of S=1 XXZ Chains with Uniaxial Single-Ion-Type Anisotropy
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Quantum fidelity and quantum phase transitions in matrix product states
• Entanglement Spectrum, Critical Exponents and Order Parameters in Quantum Spin Chains
• Fidelity analysis of topological quantum phase transitions
• Scaling Properties of Fidelity in Spin-one Anisotropic Model
• Magnetic excitations in coupled Haldane spin chains near the quantum critical point
• Entropic analysis of quantum phase transitions from uniform to spatially inhomogeneous phases
• On $c=1$ critical phases in anisotropic spin-1 chains
• Field Induced Magnetic Ordering and Single-ion Anisotropy in the Quasi-1D Haldane Chain Compound SrNi2V2O8: A Single Crystal investigation
• Magnetoelectric coupling in Haldane spin chain system, Dy2BaNiO5
• Polarized-neutron study of longitudinal Haldane-gap excitations in Nd${}_2$BaNiO${}_5$
• Fidelity approach to Gaussian transitions
• Matrix Product State and Quantum Phase Transitions in the One-Dimensional Extended Quantum Compass Model
• Von Neumann Entropy Spectra and Entangled Excitations in Spin-Orbital Models
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Finite-size scaling of string order parameters characterizing the Haldane phase
• Exact treatment of magnetism-driven ferroelectricity in the one-dimensional compass model
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Identifying Symmetry-Protected Topological Order by Entanglement Entropy
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Triplet spin resonance of the Haldane compound with interchain coupling
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Low-energy magnetic excitations in the quasi-one-dimensional spin-1 chain compound SrNi2V2O8
• Emergence of Long Period Antiferromagnetic Orders from Haldane Phase in S=1 Heisenberg Chains with D-Modulation
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model

Cited by in corpus (5)

• General properties of fidelity in non-Hermitian quantum systems with PT symmetry
• Quantum phase transitions in spin-1 XXZ chains with rhombic single-ion anisotropy
• Quantum phase transitions in a spin-1 antiferromagnetic chain with long-range interactions and modulated single-ion anisotropy
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions