Abstract: This talk concerns the phenomenon of symmetry-breaking in statistical physics, particularly "dimerization" where the broken symmetry is that of translation-invariance. After giving an introduction to the main ideas of symmetry-breaking in the context of both classical and quantum statistical physics, I will describe a quantum spin system in one dimension where dimerization has been proved to occur. The proof uses a probabilistic representation in terms of a collection of random loops. Based on the paper arXiv:2101.11464 which is joint work with Peter Mühlbacher, Bruno Nachtergaele and Daniel Ueltschi.
Dimerization in a quantum spin chain
29.03.2023 15:45 - 16:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
IST Austria, Mondi 2 (I01.01.008), Central Building