2010/01/06 by Zhe Chang, Ning Wu · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Condensed matter physics #Critical point (mathematics) #Geometry #Ising model #Mathematics #Phase transition #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Square-lattice Ising model #Statistical physics #Transverse field #Transverse plane #k-nearest neighbors algorithm #quant-ph
paper · pdf · doi:10.1103/physreva.81.022312
published as Phys. Rev. A 81, 022312 (2010) · To be published in PRA
arxiv created 2010/01/06 · openalex publication_date 2010/02/16 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the evolution of nearest-neighbor entanglement in the one-dimensional Ising model with an external transverse field. The system is initialized as the so-called thermal ground state of the pure Ising model. We analyze properties of the generation of entanglement for different regions of external transverse fields. We find that the derivative of the time at which the entanglement reaches its first maximum with respect to the reciprocal transverse field has a minimum at the critical point. This is an indicator of quantum phase transition.