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Palestrante: Arash Jafarizadeh (UFF)

Title: Bipartite entanglement entropy of the excited states of the free 
fermions.

Abstract:  The bipartite entanglement entropy for the ground state of 
many models including free fermions, coupled harmonic oscillators, 
quantum spin chains, CFTs, and topological systems has been studied 
vastly. We know that there is universality and we can write a quantum 
field theory for the ground state of the quantum many-body systems near 
or at the critical point. However, for excited states, some volume-law 
behavior has been reported. Also, some sort of universality has been 
reported for the average of the entanglement entropy over the excited 
states. In this work, we present some exact results for the entanglement 
entropy of the excited states of free fermions in one-dimension. We also 
comment on the average of the entanglement entropy and possible methods 
to measure it.