Weak ergodicity breaking or prethermalization in the many-anyon model

Investigate whether the many-anyon model exhibits weak ergodicity breaking or prethermalization associated with long-lived quasi-bound states in the continuum and many-body Fock-space cages.

Background

The authors suggest that increasing particle number may cause many-anyon clusters to localize at a corner of the relative-coordinate space and acquire increasingly long lifetimes. Such long-lived states could produce nonstandard dynamical behavior beyond ordinary few-body binding.

The paper explicitly raises the possibility that this behavior is connected to weak ergodicity breaking or prethermalization, as found or discussed in correlated-hopping and kinetically constrained models. This issue is not addressed by the paper's calculations.

References

This latter scenario also opens another question, namely whether the many-anyon model might feature weak ergodicity breaking or prethermalization, possibly related to the physics of correlated hopping models or kinetically constrained models with many-body (Aharonov-Bohm-like) Fock space cages, where the latter are already present in the simplest two-particle configuration space lattice.

— Few-body bound states in the anyon-Hubbard model  (2609.09125 - Tesfaye et al., 8 Sep 2026) in Section Summary and Outlook