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arXiv · 1906.11954

Bounded entanglement entropy in the quantum Ising model

Geoffrey Grimmett·Tobias Osborne·Petra Scudo
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Abstract

A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of the arguments in the earlier work by the same authors (J. Statist. Phys. 131 (2008) 305-339). The proof is geometrical, and utilises a transformation to a model of classical probability called the continuum random-cluster model. Our method of proof is fairly robust, and applies also to certain disordered systems.

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Geoffrey Grimmett, Tobias Osborne, Petra Scudo. 2019-06-27. Bounded entanglement entropy in the quantum Ising model. https://doi.org/10.1007/s10955-019-02432-y

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