Entanglement in the quantum Ising model

Details Entanglement in the quantum Ising model Entanglement in the quantum Ising model

2007-04-23

arxiv.org/abs/0704.2981v1

Physics

Quantum Physics

Scientific paper

10.1007/s10955-008-9502-6

We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most logarithmically in the number of spins. The proof utilises a transformation to a model of classical probability called the continuum random-cluster model, and is based on a property of the latter model termed ratio weak-mixing. Our proof applies equally to a large class of disordered interactions.

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