Extend the interference-aware approach to entanglement and other quantum correlations

Extend the interference-inclusive semiclassical/propagator-based methodology developed for the density evolution of a one-dimensional hard-core boson (free-fermion) gas with two conformal defects to more complex observables, including bipartite entanglement and other measures of quantum correlations, and characterize their dynamical behavior under the influence of interference effects.

Background

While the paper focuses on density profiles, the authors argue that interference between defects should impact more complex quantum observables even more strongly. Prior work addressed entanglement for a single conformal defect, but the multi-defect case with interference remains to be understood.

A framework that captures coherent multiple reflections could enable exact or controlled predictions for entanglement dynamics and related correlation measures in the two-defect setting.

References

Beyond these concrete results, our findings raise several intriguing open questions. In particular, it would be highly interesting to understand how interference corrections can be incorporated in a systematic way into the hydrodynamic framework and whether a generalized formulation of GHD can be developed to account for such effects. Another important direction concerns the extension of this approach to more complex observables, such as bipartite entanglement and other measures of quantum correlations, where interference effects are expected to play an even more pronounced role.

— Double-weak-link interferometer of hard-core bosons in one dimension  (2603.29583 - Takacs et al., 31 Mar 2026) in Conclusion (Section 6)