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Date: May 8th, 2023
Hour: 2.30 pm
Room: GSSI Auditorium and online
Speaker: Jakob Björnberg
(Chalmers and Göteborg University)
Title: Dimerization in a quantum spin chainAbstract: This talk concerns the phenomenon of symmetry-breaking in statistical physics, particularly "dimerization" where the broken symmetry is that of translation-invariance. After reviewing the main ideas of symmetry-breaking in statistical physics, I will describe a quantum spin system in one dimension where we prove that dimerization occurs for large enough spin. The proof uses a probabilistic representation in terms of a collection of random loops and a cluster-expansion. Based on the paper arXiv:2101.11464 which is joint work with Peter Mühlbacher, Bruno Nachtergaele and Daniel Ueltschi.