The interchange model and related spin systems on two-block graphs

Add to your list(s) Download to your calendar using vCal

• Jakob Bjornberg (Chalmers)
• Tuesday 15 February 2022, 14:00-15:00
• Online (Zoom).

If you have a question about this talk, please contact Perla Sousi.

This talk has been canceled/deleted

The interchange model is a model in quantum statistical physics with close connections to random permutations. In joint work with Hjalmar Rosengren and Kieran Ryan we recently analysed such models in a “two-block” setting. This includes complete bipartite graphs as a special case. Our method exploits algebraic aspects of the model and allows us to obtain explicit expressions for certain limiting quantities. In the “probabilistic regime” (which includes the Heisenberg ferromagnet) our results may be interpreted in terms of the appearance of macroscopic permutation cycles. In other regimes we obtain an intriguing phase diagram.

Based on: https://arxiv.org/abs/2201.10209

This talk is part of the Probability series.

This talk is included in these lists:

This talk is not included in any other list

Note that ex-directory lists are not shown.