Jakob Björnberg: Dimerisation in mirrors models and quantum spin chains
Time: Wed 2024-02-21 15.15 - 16.00
Location: Cramér room, Albano, house 1, floor 3
Participating: Jakob Björnberg (Chalmers and Göteborg University)
Abstract
We consider two models of random loops where we prove breaking of translational symmetry. The first is a mirror model, where the loops are formed by light rays bouncing in a labyrinth of randomly oriented mirrors. The second is a probabilistic representation of a quantum spin chain, and can be obtained as a limit of the first, for inhomogeneous mirror weights. In the terminology of quantum spins, this symmetry-breaking is called “dimerisation”. Based on joint works with K. Ryan as well as with P. Muehlbacher, B. Nachtergaele and D. Ueltschi.