Universality of the negativity in the Lipkin-Meshkov-Glick model

作者:Wichterich Hannu*; Vidal Julien; Bose Sougato
来源:Physical Review A, 2010, 81(3): 032311.
DOI:10.1103/PhysRevA.81.032311

摘要

The entanglement between noncomplementary blocks of amany-body system, where a part of the system forms an ignored environment, is a largely untouched problem without analytic results. We rectify this gap by studying the logarithmic negativity between two macroscopic sets of spins in an arbitrary tripartition of a collection of mutually interacting spins described by the Lipkin-Meshkov-Glick Hamiltonian. This entanglement measure is found to be finite and universal at the critical point for any tripartition whereas it diverges for a bipartition. In this limiting case, we show that it behaves as the entanglement entropy, suggesting a deep relation between the scaling exponents of these two independently defined quantities which may be valid for other systems.

  • 出版日期2010-3