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arXiv · 1003.2434

Highly entangled quantum systems in 3+1 dimensions

Brian Swingle
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Abstract

Many systems exhibit boundary law scaling for entanglement entropy in more than one spatial dimension. Here I describe three systems in 3+1 dimensions that violate the boundary law for entanglement entropy. The first is free Weyl fermions in a magnetic field, the second is a holographic strong coupling generalization of the Weyl fermion system, and the third is a strong topological insulator in the presence of dislocations. These systems are unified by the presence of a low energy description that includes many gapless 1+1 dimensional modes. I conclude with some comments on the search for highly entangled states of quantum matter and some potential experimental signatures.

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Brian Swingle. 2010-03-11. Highly entangled quantum systems in 3+1 dimensions. https://arxiv.org/abs/1003.2434

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