A non-expert review of superdiffusion in quantum spin chains

by Lorenzo Amato (PSI)

Tuesday 9 Jan 2024, 11:00 → 12:00 Europe/Zurich

WHGA/121

In this CMT journal club seminar I will present an overview of what is known and what remains to be understood about spin transport in the XXZ Heisenberg model, with a focus on the isotropic point, which features superdiffusive dynamics long believed to be in the KPZ universality class. I will mostly discuss the experimental paper [1] (together with theoretical and numerical works, reviewed in [2]) and contrast it with recent claims [3] running against the conclusions of [1].

[1] Wei, David, et al. "Quantum gas microscopy of Kardar-Parisi-Zhang superdiffusion." Science 376.6594 (2022): 716-720.
[2] Bulchandani, Vir B., Sarang Gopalakrishnan, and Enej Ilievski. "Superdiffusion in spin chains." Journal of Statistical Mechanics: Theory and Experiment 2021.8 (2021): 084001.
[3] Rosenberg, Eliott, et al. "Dynamics of magnetization at infinite temperature in a Heisenberg spin chain." arXiv preprint arXiv:2306.09333 (2023).