Journal
PHYSICS LETTERS A
Volume 337, Issue 1-2, Pages 22-28Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2005.01.060
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We study the entanglement properties of the ground state in Kitaev's model. This is a two-dimensional spin system with a torus topology and non-trivial four-body interactions between its spins. For a generic partition (A, B) of the lattice we calculate analytically the von Neumann entropy of the reduced density matrix p(A) in the ground state. We prove that the geometric entropy associated with a region A is linear in the length of its boundary. Moreover, we argue that entanglement can probe the topology of the system and reveal topological order. Finally, no partition has zero entanglement and we find the partition that maximizes the entanglement in the given ground state. (c) 2005 Elsevier B.V. All rights reserved.
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