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Entanglement entropy through representations of quasi-local algebras

Student-Run Applied & Math Seminar

Speaker: Alvin Moon, UC Davis
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Location: 2112 MSB
Start time: Thu, Nov 9 2017, 12:10PM

It is known that in one dimension, an area law for entanglement entropy persists through small perturbations of the system. In this talk, I will describe an argument of T. Matsui giving an expression of entanglement entropy for a state in terms of the associated cyclic representation of the quasi-local algebra. I will demonstrate that the effect of perturbations on the entropy is represented through “local twisting” of the cyclic vector.

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