Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain
arXiv:1006.1421 · doi:10.1103/PhysRevA.79.034302
Abstract
The fidelity and entropy in an easy-axis antiferromagnetic Heisenberg spin-1 chain are studied numerically. By using the method of density-matrix renormalization group, the effects of anisotropy on fidelity and entanglement entropy are investigated. Their relations with quantum phase transition are analyzed. It is found that the quantum phase transition from the Haldane spin liquid to Néel spin solid can be well characterized by the fidelity. The phase transition can be hardly detected by the entropy but it can be successfully detected by the first deviation of the entropy.
3 figures
References in corpus (17)
- Fidelity, dynamic structure factor, and susceptibility in critical phenomena
- Quantum critical scaling of the geometric tensors
- Quantum Phase Transitions and Bipartite Entanglement
- From density-matrix renormalization group to matrix product states
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Fidelity susceptibility, scaling, and universality in quantum critical phenomena
- Ground state fidelity from tensor network representations
- Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
- Quantum fidelity and quantum phase transitions in matrix product states
- Ground-state fidelity in one-dimensional gapless model
- Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
- Fidelity analysis of topological quantum phase transitions
- Scaling Properties of Fidelity in Spin-one Anisotropic Model
- Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Fidelity approach to Gaussian transitions
- Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
Cited by in corpus (7)
- Cluster Density Matrix Embedding Theory for Quantum Spin Systems
- Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation
- 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
- Quantum information analysis of quantum phase transitions in a one-dimensional V1-V2 hard-core-boson model
- Comparative study of the density matrix embedding theory for the Hubbard models
- Entanglement entropy and fidelity susceptibility in the one-dimensional spin-1 XXZ chains with alternating single-site anisotropy