Seminario del Prof. Tomohiro Sasamoto (Institute of Science Tokyo)
Recently, current fluctuations of a class of models have been shown to be described by the
so called M-Wright function, which takes the form of nested Gaussian. This was first noted for a classical automaton model, but has been discussed to appear in a wide class of models including the XXZ spin chain.
In this talk, after reviewing a combinatorial arguments for the automaton model, we explain how the distribution can be derived by an exact calculation for the so-called t0 model, which is the Hubbard model with infinite strength of interaction. The talk is based on a collaboration with K. Fujimoto, T. Ishiyama, T. Kurose, T. Yoshimura. Reference: [1] K. Fujimoto, T. Ishiyama, T. Kurose, T. Yoshimura, T. Sasamoto, Exact Anomalous Current Fluctuations in Quantum Many-Body Dynamics, arXiv: 2602.24008, to appear in Phys. Rev. Lett.