2006/11/30 by J. Karthik, Auditya Sharma, Arul Lakshminarayan · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Concurrence #Hamiltonian (control theory) #Ising model #Mathematics #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Squashed entanglement #Statistical physics #W state #cond-mat.other #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreva.75.022304
published as Phys. Rev. A 75, 022304 (2007) · Corrections in two figure captions and one new reference. To appear in Phys. Rev. A
arxiv created 2007/01/29 · openalex publication_date 2007/02/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study a one-dimensional Ising model with a magnetic field and show that tilting the field induces a transition to quantum chaos. We explore the stationary states of this Hamiltonian to show the intimate connection between entanglement and avoided crossings. In general, entanglement gets exchanged between the states undergoing an avoided crossing with an overall enhancement of multipartite entanglement at the closest point of approach, simultaneously accompanied by diminishing two-body entanglement as measured by concurrence. We find that both for stationary as well as nonstationary states, nonintegrability leads to a destruction of two-body correlations and distributes entanglement more globally.