Upcoming Seminar Thursday 6 March 11.30 a.m.

[statphys at ictp.it]

Seminar Title:
Universal Behavior of Shannon and Renyi Mutual Information of Quantum Spin Chains

Date:Start Time
Start Time:11:30:00
Location:Location
Contact:Chairperson
Contact Email:statphys at ictp.it
Room:Leonardo da Vinci Building Luigi Stasi Seminar Room
Speaker:Mohammad A. RAJABPOUR (IFSC, USP, Brazil)

Description/Abstract:
In this talk we will first review the Shannon and Renyi entropies as
information theoretic concepts and their use in quantum and classical
systems. They are quantities which usually base dependent.  Then we will
introduce mutual Shannon and mutual Renyi entropies as very useful
quantities to detect the universality classes of the quantum spin chains. We
will present some conjectures regarding the connection of these quantities
to central charge of the critical systems and then we will support them with
numerical works done on the Ising model Q=3,4 Potts model and XXZ spin chains.
In all of these cases we will emphasize on the bases that one
chooses to calculate these quantities and in particular we will show that
some of the bases are actually more suitable to detect the universality
classes.

References:
1: FC Alcaraz, MA Rajabpour, Phys. Rev. Lett. 111, 017201 (2013)
2: FC Alcaraz, MA Rajabpour, in preparation.