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Topological Entanglement Entropy and Braids in Chern-Simons Theory. (arXiv:1707.06629v2 [hep-th] UPDATED)
来源于:arXiv
We explore a web of connections between quantum entanglement and knot theory
by examining how topological entanglement entropy probes the braiding data of
quasi-particles in Chern-Simons theory, mainly using $SU(2)$ gauge group as our
working example. The problem of determining the Renyi entropy is mapped to
computing the expectation value of an auxiliary Wilson loop in $S^3$ for each
braid. We study various properties of this auxiliary Wilson loop for some
2-strand and 3-strand braids, and demonstrate how they reflect some geometrical
properties of the underlying braids. 查看全文>>