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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: AdS/CFT

MP 10.7: Talk

Thursday, March 21, 2024, 12:00–12:20, HL 001

Entanglement in interacting Majorana chains and transitions of von Neumann algebras — •Pablo Basteiro, Giuseppe Di Giulio, Johanna Erdmenger, and Zhuo-Yu Xian — Institute for Theoretical Physics and Astrophysics and Würzburg-Dresden Excellence Cluster ct.qmat, Julius Maximilians University Würzburg, Am Hubland, 97074 Würzburg, Germany

We consider Majorana lattices with two-site interactions in the form of a general function of the fermion bilinear. The model is exactly solvable in the limit of large number N of on-site fermions. For four-site chains, we detect a first order quantum phase transition by tuning the relative hopping strength between sites, which manifests itself in a discontinuous entanglement entropy. Inspired by recent analyses of the AdS/CFT correspondence, we identify type I, type II1, and type III operator algebras in various limits of the phase diagram. In the strongly interacting limit, we find that an abrupt change between type II1 and I algebras occurs at the phase transition point.

Keywords: Interacting models; Entanglement; von Neumann algebras; phase transition; AdS/CFT

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