The de Broglie–Bohm formulation assigns deterministic trajectories to quantum particles, with inter-particle coupling encoded in the phase structure of the joint wavefunction. This makes it a natural framework for studying how quantum entanglement shapes kinematic behavior at the individual-trajectory level. We present a controlled numerical investigation of two-particle scattering against a Gaussian barrier, comparing three initial-state configurations: a separable product state (Stage 1), a bosonic symmetrised state (Stage 2A), and a product state subjected to entanglement generated dynamically via a time-ramped quadratic phase coupling (Stage 2B). The three-stage design enforces a strict causal control: Stage 2B shares identical single-particle marginal densities with the product baseline at t = 0, confirmed by DKL = 0 exactly, so any divergence in scattering statistics is attributable solely to the entanglement generated during evolution. The central finding is that both entangled stages produce a scattering independence ratio Isc <1: joint transmission is suppressed relative to the independent-particle prediction, yielding anti-correlated scattering outcomes rather than the bunching one might naively expect. The effect is moderate for bosonic symmetrisation (Isc = 0.75) and extreme for the phase-coupled stage (Isc = 0.09), where joint transmission collapses to fewer than 2% of trajectories. Inter-particle velocity correlations rise from near zero in the product state to substantial values in both entangled stages, with the dynamically generated case exhibiting a characteristic delayed onset that tracks the phase ramp. Entanglement entropy measurements are mutually consistent with this metric ordering across all stages. These results provide controlled numerical evidence, within a low-dimensional model, that Bohmian non-locality leaves quantifiable signatures in scattering outcome distributions. Beyond the Bohmian context, the independence ratio Isc functions as a transport-correlation diagnostic with potential relevance to weak-measurement trajectory-reconstruction experiments and pilot-wave analogue systems.
Thompson et al. (Thu,) studied this question.