Dynamical universality of charged single-file systems and integrable spin chains

Ž. Krajnik,1 J. Schmidt,2,3 V. Pasquier,4 E. Ilievski,5 T. Prosen5

1Department of Physics, New York University, 726 Broadway, NY 10003, New York, USA

2Technische Universitat Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany

3Bonacci GmbH, Robert-Koch-Str. 8, 50937 Cologne, Germany

4Institut de Physique Theorique, Universite Paris Saclay,

CEA, CNRS UMR 3681, 91191 Gif-sur-Yvette, France

5Faculty for Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, 1000 Ljubljana, Slovenia

We introduce and discuss dynamical universality of charge fluctuations in charged single-file systems. The full counting statistics of such systems out of equilibrium generically undergoes first and second order dynamical phase transitions, while equilibrium typical fluctuations are non-Gaussian and given by a universal distribution. Similar phenomenology of dynamical criticality is observed in equilibrium in the easy axis and isotropic regimes of an integrable spin chain. While the easy axis regime does not satisfy a single-file kinetic constraint, it nevertheless supports the non-Gaussian distribution of the charged single-file universality class. Fluctuations at the isotropic point are also anomalous and distinct from those of the Kardar-Parisi-Zhang universality class.

1. Ž. Krajnik et al. arXiv:2303.16691 (2023)
2. Ž. Krajnik et al. arXiv:2208.01463 (2022)
3. Ž. Krajnik et al. Phys. Rev. Lett. 128, 160601 (2022)
4. Ž. Krajnik et al. Phys. Rev. Lett. 128, 090604 (2022)