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DTSTART:20180325T030000
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DTSTAMP:20191018T171502Z
UID:59d4bf21eabee628272308@ist.ac.at
DTSTART:20180911T110000
DTEND:20180911T123000
DESCRIPTION:Speaker: Edward Gillman\nhosted by Maksym Serbyn\nAbstract: Top
ological defect formation\, as described by the Kibble-Zurek Mechanism (KZ
M)\, is a highly generic phenomenon that occurs in a wide range of systems
from condensed matter to cosmology. Despite the generality of the KZM des
cription\, it is surprisingly hard to confirm in the case of quantum field
theories (QFT) undergoing quantum phase transitions. This difficulty can
be attributed to the more general technical challenge of performing non-eq
uilibrium non-perturbative calculations in quantum theory\, for which ther
e is currently no well-developed method. To attempt to tackle this problem
\, we apply matrix product state techniques\, specifically uniform-matrix-
product-states and the time-dependent-variational-prinicible\, and attempt
to identify signatures of topological defect formation in the $\\phi^{4}$
QFT. Our results given a picture consistent with topological defect forma
tion via the KZM and thus provide an excellent benchmark for tensor networ
k techniques\, suggesting they are highly promising for future application
s to non-perturbative non-equilibrium QFT\, and quantum theories more gene
rally.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:susanne.wheatley@ist.ac.at
SUMMARY:Studying Topological Defect Formation with Matrix Product States
URL:https://talks-calendar.app.ist.ac.at/events/1396
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