Universality of anomalous subsystem waiting-time distributions across interacting models

Ascertain the universal properties of anomalous subsystem waiting-time distributions by investigating how anomalous half-chain waiting-time distributions manifest in other interacting quantum many-body models under continuous monitoring.

Background

The study demonstrates that half-chain WTDs exhibit anomalous long-time tails governed by spectral properties of š¯“›0 in a monitored Heisenberg (hard-core boson) chain, with distinct system-size scaling across measurement regimes. This raises the question of whether similar anomalous behavior and spectral characterizations persist broadly across different interacting models.

Establishing universality would identify model-independent features of subsystem WTDs under measurement and strengthen the proposed spectral framework as a general diagnostic for monitored many-body dynamics.

References

Finally, it is an important open problem to explore the universal properties by investigating how anomalous subsystem WTDs manifest themselves in other interacting many-body models.

— Anomalous waiting-time distributions in postselection-free quantum many-body dynamics under continuous monitoring  (2604.00358 - Yamamoto et al., 1 Apr 2026) in Section 5 (Conclusions)