Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Entanglement entropy through representations of quasi-local algebras

Student-Run Applied & Math Seminar

Speaker: Alvin Moon, UC Davis
Related Webpage: https://www.math.ucdavis.edu/~asmoon/
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.



If you would like to help us estimate how much pizza to order you can RSVP at this link, even if you aren't sure you can make it: https://docs.google.com/spreadsheets/d/1wyOmPJvaqsSngBuIcjnN3vLAWeRFTyru47HFaT0wlMc/edit#gid=652435293 (Iphone users, be careful to choose the correct date).