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Title:
Area law violation in the Fredkin spin chain
Speaker:
Abstract:
I will discuss a family of spin chains with abnormally high levels of entanglement, which builds on earlier work by Shor & Movassagh. The family is characterized by being SU(k) symmetric. For nonabelian symmetry groups (k = 2 and up), a block of length L will have an entanglement entropy proportional to sqrt(L) with respect to its environment, in violation of the area law. The model has a polynomially closing gap. It also exhibits remarkable similarities to the Heisenberg and AKLT spin chains in its dynamics and exhibits highly non-classical correlations.
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