Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain

Abstract

The fidelity and entanglement entropy in an antiferromagnetic-ferromagnetic alternating Heisenberg chain are investigated by using the method of density-matrix renormalization-group. The effect of anisotropy on fidelity and entanglement entropy are investigated. The relations between fidelity, entanglement entropy and quantum phase transition are analyzed. It is found that the quantum phase transition point can be well characterized by both the ground-state entropy and fidelity for large system.

10 pages, 4 figures

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• Fidelity approach to quantum phase transitions
• Fidelity susceptibility in the two-dimensional transverse field Ising and XXZ models
• Quantum phase transitions in spin-1 XXZ chains with rhombic single-ion anisotropy
• Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
• Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
• Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy
• Studies on a frustrated Heisenberg spin chain with alternating ferromagnetic and antiferromagnetic exchanges
• Phase diagram of the spin-1/2 Heisenberg alternating chain in a magnetic field