SP Seminar @SISSA Via Bonomea Tuesday 14 Nov. at 11am: I. PESCHEL

[CM Section]

Joint ICTP/SISSA Statistical Physics Seminar


Tuesday 14 November at 11:00 a.m.
SISSA, Via Bonomea 265, room 128
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Speaker: Ingo PESCHEL (Freie Univ. Berlin, Institute for Theoretical 
Physics)


Title: The Entanglement Hamiltonian of a Free-Fermion Chain

Abstract:
In entanglement studies, it is convenient to write the reduced density
matrix of a subsystem in the form exp(-H), where H is called the
entanglement Hamiltonian. This operator has a particular form in
real space which is related to the way the total system is partitioned.
In the talk, H will be discussed for a large interval in an infinite 
discrete
chain of free fermions in its ground state. Very accurate numerical
calculations are presented, and it is shown how one can obtain H
analytically with the help of a commuting operatorusing asymptotic
results found previously in a different context. Differences to the
conformal expressions remain and are attributed to the discrete nature
of the problem. Some related topics are mentioned.