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Seminars

Seminar
FIELD Physics
DATE October 25 (Wed), 2017
TIME 16:00-18:00
PLACE 7323
SPEAKER Jaeyoon Cho
HOST Bang, Jeongho
INSTITUTE Asia Pacific Center for Theoretical Physics
TITLE Proof of the one-dimensional entanglement area law from exponentially decaying correlations
ABSTRACT A remarkable feature of typical ground states of strongly-correlated many-body systems is that the entanglement entropy is not an extensive quantity. In one dimension, there exists a proof that a finite correlation length sets a constant upper bound on the entanglement entropy, called the area law. However, the known bound exists only in a hypothetical limit, rendering its physical relevance highly questionable. In this blackboard talk, I give a simple proof of the area law, which dramatically reduces the previously known bound on the entanglement entropy, bringing it, for the first time, into a realistic regime.
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