Quantum phase transition in easy-axis antiferromagnetic Heisenberg spin-1 chain

2009/03/30 by Jie Ren, Shiqun Zhu · 17 citations
Computer Science · Physics and Astronomy · #Anisotropy #Antiferromagnetism #Condensed matter physics #Density matrix renormalization group #Entropy (arrow of time) #Neural Networks and Reservoir Computing #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Spin (aerodynamics) #Thermodynamics #quant-ph

paper · pdf · doi:10.1103/physreva.79.034302

published in Physical Review A 79(3) (American Physical Society) · 3 figures

openalex publication_date 2009/03/30 · arxiv created 2010/06/08 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 N'eel 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.

Citations

• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Fidelity analysis of topological quantum phase transitions
• Entanglement, fidelity, and quantum phase transition in antiferromagnetic-ferromagnetic alternating Heisenberg chain
• Density-matrix algorithms for quantum renormalization groups
• Ground State Fidelity from Tensor Network Representations
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
• Fidelity and quantum phase transition for the Heisenberg chain with next-nearest-neighbor interaction
• Quantum Critical Scaling of the Geometric Tensors
• Ground-state fidelity in one-dimensional gapless models
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• The density-matrix renormalization group
• Entanglement in many-body systems