University of Cambridge > Talks.cam > Probability > The interchange model and related spin systems on two-block graphs

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

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

  • UserJakob Bjornberg (Chalmers)
  • ClockTuesday 15 February 2022, 14:00-15:00
  • HouseMR12.

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

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity