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arXiv · 1104.1011

Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures

Y. Nakagawa·A. Nakamura·S. Motoki·V. I. Zakharov
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Abstract

We examine the entanglement properties of the Yang-Mills theory by calculating $\alpha$ entanglement entropy with $\alpha=2$ using a SU(3) quenched lattice gauge simulation both in the confinement and the deconfinement phases. In the confinement phase, the derivative of the $\alpha$ entropy with respect to the size $l$ of the subregion, whose entanglement properties are interested in, scales as $1/l^3$, and a clear discontinuity cannot be found within our statistical errors. The $\alpha$ entropy in the deconfinement phase saturates at large $l$. The saturation value is comparable with the thermal entropy of the pure Yang-Mills theory, indicating that the $\alpha$ entropy obeys the volume law at large $l$ in the deconfinement phase.

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Y. Nakagawa, A. Nakamura, S. Motoki, V. I. Zakharov. 2011-04-06. Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures. https://arxiv.org/abs/1104.1011

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