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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20260425T051518Z
UID:1680097500@ist.ac.at
DTSTART:20230329T154500
DTEND:20230329T164500
DESCRIPTION:Speaker: Jakob Bjoernberg\nhosted by M. Beiglböck\, N. Beresty
 cki\, L. Erdös\, J. Maas\, F. Toninelli\, E. Schertzer\nAbstract: This ta
 lk concerns the phenomenon of symmetry-breaking in statistical physics\, p
 articularly "dimerization" where the broken symmetry is that of translatio
 n-invariance. After reviewing the main ideas of symmetry-breaking in stati
 stical physics\, I will describe a quantum spin system in one dimension wh
 ere we prove that dimerization occurs. The model considered here can be s
 een as a perturbation of a model for which Aizenman\, Duminil-Copin and Wa
 rzel recently proved dimerization for all spins larger than 1/2. In our ca
 se\, we prove dimerization for large enough spin. The proof uses a probabi
 listic representation in terms of a collection of random loops and a clust
 er-expansion. Based on the paper arXiv:2101.11464 which is joint work wit
 h Peter Mühlbacher\, Bruno Nachtergaele and Daniel Ueltschi.
LOCATION:Mondi 2 (I01.01.008)\, Central Building\, ISTA
ORGANIZER:
SUMMARY:Jakob Bjoernberg: Dimerization in a quantum spin chain
URL:https://talks-calendar.ista.ac.at/events/4090
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