Nuclear Physics & RIKEN Theory Seminar

"Entanglement Entropy, Rindler Space and Impurity Models"

Presented by Gregory Levine, Hofstra University

Friday, April 28, 2006, 2:00 pm — Small Seminar Room, Bldg. 510

Even noninteracting quantum fields have entanglements that extend over an infinite range. It follows that the degrees of freedom that lie exclusively within any finite volume region L^d will appear to be in a mixed state and exhibit non-vanishing entropy. Entanglement entropy formed in this fashion was first introduced in the context of black hole quantum mechanics and Hawking-Bekenstein entropy, where it was found that entanglement entropy is not an extensive quantity but, rather, scales as the area of the bounding surface, S ~ L^(d-1). I will discuss entanglement entropy in terms of horizons, Rindler spacetime and the closely related Unruh effect, and then show how these constructions may be used to compute entanglement entropy in a boundary impurity model.

Hosted by: Anna Stasto

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