Transient concurrence for copropagating entangled bosons and fermions

The transient dynamics of copropagating entangled bosons and fermions remain an unexplored aspect of quantum mechanics. We investigate how entanglement manifests itself in the spatiotemporal evolution of the particles using a modified version of the quantum shutter model. We derive a transient concurrence as a dynamical indicator of entanglement and demonstrate that it modulates the interference structure of the joint probability density, thereby revealing the spatial and temporal regions where probabilistic bunching and antibunching phenomena emerge. Furthermore, we derive analytical expressions revealing a structural connection between concurrence and the cosine modulation characteristic of Hanbury-Brown and Twiss (HBT) interference patterns. In the stationary limit, the Wootters concurrence is shown to coincide with the interferometric visibility of the resulting pattern. This work establishes a structural bridge between entanglement signatures and interference phenomena in transient copropagating systems, providing a theoretical framework for exploring their dynamical interplay.