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SUMMARY:Entanglement and conformal field theory in simple quantum Hall sta
tes
DTSTART;VALUE=DATE-TIME:20191122T130000Z
DTEND;VALUE=DATE-TIME:20191122T140000Z
DTSTAMP;VALUE=DATE-TIME:20210806T000409Z
UID:indico-event-5036@indico.math.cnrs.fr
DESCRIPTION:Entanglement entropy (EE) is a measure of the amount of entang
lement in a many body quantum wavefunction\, given a bipartition of the Hi
lbert space. While the phenomenon of entanglement is arguably a mysterious
aspect of quantum mechanics\, EE has also been used as a practical tool t
o investigate and classify phases of matters at low temperatures.\n\nFor o
ne dimensional quantum systems described by a conformal field theory (CFT)
\, the EE is widely believed to be proportional to the central charge of t
he underlying CFT. In this talk\, I will investigate simple two-dimensiona
l wavefunctions that occur in the study of the quantum Hall effect. Some o
f these states are related to ensembles of complex random matrices\, and c
lassical two-dimensional Coulomb gases.\n\nFor such wavefunctions\, only t
he one-dimensional boundary is a CFT in some appropriate scaling limit. I
will explain how the "boundary modes" are expected to affect entanglement
depending on the bipartition\, and discuss two examples where the result c
an be proved.\n \n\nhttps://indico.math.cnrs.fr/event/5036/
LOCATION:Institut Camille Jordan Fokko du Cloux
URL:https://indico.math.cnrs.fr/event/5036/
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