Buongiorno ricevo e con piacere inoltro Saluti Alessandra ---------- Forwarded message --------- From: Serena Cenatiempo <serena.cenatiempo@gssi.it> Date: Mon, 8 May 2023 at 08:00 Subject: SMAQ Seminar / J. Björnberg / today at 2.30 pm Dear all, This is a gentle reminder for today SMAQ seminar by Jakob Björnberg <http://www.math.chalmers.se/~jakobbj/> (Chalmers and Göteborg University) on "*Dimerization in a quantum spin chain*", see abstract below. The talk will be at 14.30 at the GSSI Auditorium (Viale Jacobucci 2) and will be streamed via zoom at the link: https://zoom.us/j/87571297606?pwd=bGY1ZGxpd2Y0THBEdG53Zmt3MVZ1UT09 ID riunione: 875 7129 7606 Passcode: SMAQ2223 We are looking forward to meeting you today, Alessia and Serena ---------------------------------

*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 chain*

*Abstract: *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.

-------------------------------------------------- Serena Cenatiempo Gran Sasso Science Institute (GSSI) Viale Crispi n.7, 67100 - L'Aquila (Italy) phone: +39 0862 428 0276 email: serena.cenatiempo[at]gssi[dot]com homepage: http://www.serenacenatiempo.it/ -- ************************************************* Prof. Alessandra Faggionato https://www1.mat.uniroma1.it/people/faggionato/ Department of Mathematics University "La Sapienza" Piazzale Aldo Moro, 5 00185 - Rome Office 5, Phone (0039) 06 49913252 *************************************************