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.
Highlights
The fidelity and entanglement entropy in an antiferromagnetic-ferromagnetic alternating Heisenberg chain are investigated by using the method of density-matrix renormalization-group
Many results show that entanglement existed naturally in the spin chain when the temperature is at zero
The quantum entanglement of a many-body system has been paid much attention since the entanglement is considered as the heart in quantum information and computation[2, 3]
Summary
The fidelity and entanglement entropy in an antiferromagnetic-ferromagnetic alternating Heisenberg chain are investigated by using the method of density-matrix renormalization-group. As the bipartite entanglement measurement in a pure state, the von Neumann entropy[4] in the ferromagnetic[5] and antiferromagnetic [6, 7] spin chains are investigated respectively. The entropy predicts the quantum phase transition point successfully[9]. It is shown that the fidelity and the entanglement entropy have similar predictive power for identifying quantum phase transitions in the most system.
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