Joint SP seminar on Tues.
Cond.Matt. & Stat.Mech.Section
cm at ictp.it
Thu Feb 11 08:34:15 CET 2010
JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR
Tuesday, 16 February - 11:00 hrs.
Lecture Room - SISSA Main Building
Francesco RAVANINI (Università di Bologna)
"Exact entanglement entropy of the XYZ model and its sine-Gordon
limit"
Abstract
We obtain the exact expression for the Von Neumann entropy for an
infinite bipartition of the XYZ model, by connecting its reduced
density matrix to the corner transfer matrix of the eight vertex
model. Then we consider the anisotropic scaling limit of the XYZ
chain that yields the 1+1 dimensional sine-Gordon model. We present
the formula for the entanglement entropy of the latter, which has the
structure of a dominant logarithmic term plus a constant, in agreement
with what is generally expected for a massive quantum field theory.
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