Universal dynamical order parameter for arbitrary dynamical quantum phase transitions

Construct a universal dynamical order parameter applicable to arbitrary dynamical quantum phase transitions, independently of the specific model.

Background

The paper identifies dynamical order parameters for several classes of dynamical quantum phase transitions, including equilibrium-derived and topological quantities. It notes that a generally applicable construction remains unavailable, while the existence of a local dynamical order parameter typically depends on the details of the model. The problem is therefore to find a universal way to distinguish dynamical phases across arbitrary dynamical quantum phase transitions.

References

However, no universal construction of an order parameter for arbitrary DQPTs is known, and the existence of a local dynamical order parameter generally depends on the model.

— Dynamical phase transitions for single particles in the semiclassical and weak noise limits  (2609.01197 - Asriyan et al., 1 Sep 2026) in Introduction