Directly confirm coherence of the transmitted–reflected superposition

Confirm the coherence between the transmitted and reflected components produced by doublon–holon scattering in the half-filled one-dimensional Fermi–Hubbard model באמצעות an interference experiment on the post-collision wave function, once sufficiently long simulation times are accessible.

Background

The experiment measures the presence and relative weights of the transmitted and reflected doublon–holon components through charge densities and particle-number fluctuations. These measurements are consistent with a coherent superposition, but they do not directly establish the phase coherence between the two scattering channels. The authors identify an additional interference measurement of the post-collision wave function as the required way to resolve this issue, contingent on access to longer simulation times.

References

However, the measured data shows only the presence of the two components and their relative weights, and does not directly confirm the coherence between them. The interpretation as a coherent superposition is based on the fact that the time evolution is unitary and that the observed $U$ dependence follows the prediction of equation~transmission, and it could be confirmed by an additional interference experiment on the wave function after the collision once longer simulation times become accessible.

— An entangling Hubbard quasiparticle collider on a digital quantum processor  (2610.13946 - Bark et al., 9 Oct 2026) in Section Discussion