Phys. Rev. A 78, 052302 (2008) [9 pages]Entanglement of two blocks of spins in the critical Ising modelReceived 5 August 2008; published 3 November 2008 We compute the entropy of entanglement of two blocks of L spins at a distance d in the ground state of an Ising chain in an external transverse magnetic field. We numerically study the von Neumann entropy for different values of the transverse field. At the critical point we obtain analytical results for blocks of size L=1 and 2. In the general case, the critical entropy is shown to be additive when d→∞. Finally, based on simple arguments, we derive an expression for the entropy at the critical point as a function of both L and d. This formula is in excellent agreement with numerical results. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.052302
DOI:
10.1103/PhysRevA.78.052302
PACS:
03.67.Mn, 73.43.Nq, 75.10.Pq
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