Tues. seminar coming up

[Cond.Matt. & Stat.Mech.Section]

JOINT ICTP/SISSA STATISTICAL PHYSICS SEMINAR

 

Tuesday, 6 December   -   11:30 hrs.

 

Luigi Stasi Seminar Room,   ICTP Leonardo Building - 1st floor

 

E. TONNI    ( SISSA )



"Entanglement entropy:    Insights from the two intervals case"

 

Abstract

 

While the entanglement entropy for one interval in two dimensional CFT is sensible only to the central charge, in the case of many intervals it includes the full operator content of the theory. We make this statement manifest through an OPE expansion valid for any CFT. This general result is tested quantitatively for the compactified boson and the Ising model, where the expressions of the Renyi entropies are derived in terms of Riemann theta functions. Such expressions are checked against numerical data obtained from spin chains.

The holographic entanglement entropy for two disjoint intervals in the boundary theory is discussed, also for the time dependent backgrounds given by the Vaidya metrics, which model the black hole formation.