Local entanglement and quantum phase transition in 1D transverse field Ising model
arXiv:quant-ph/0606133 · doi:10.1103/PhysRevA.74.032308
Abstract
In this paper, we study the entanglement between two-neighboring sites and the rest of the system in a simple quantum phase transition of 1D transverse field Ising model. We find that the entanglement shows interesting scaling and singular behavior around the critical point, and then can be use as a convenient marker for the transition point.
5 pages, 5 figures
References in corpus (15)
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Local entanglement and quantum phase transition in the Hubbard model
- Entanglement and quantum phase transition in the extended Hubbard model
- Universality of Entropy Scaling in 1D Gap-less Models
- Two-site entropy and quantum phase transitions in low-dimensional models
- Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
- Entanglement and Quantum Phase Transition in Low Dimensional Spin Systems
- Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
- Block-block entanglement and quantum phase transitions in one-dimensional extended Hubbard model
- Local Measures of Entanglement and Critical Exponents at Quantum Phase Transitions
- Local Entanglement and quantum phase transition in spin models
- Single-site entanglement at superconductor-insulator transition in the Hirsch model
- Entanglement and majorization in (1+1)-dimensional quantum systems
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