Simulation of Entanglement Dynamics for Scattering Between a Free and a Bound Carrier in a Quantum Wire

The decoherence of a quantum system is ascribed to its enetanglement with another system considered as the environment, thus the quantitative evaluation of entanglement formation dynamics can shed light on the transition between quantum and classical behavior of a carrier that undergoes to a scattering event. We present here a numerical solution of the time-dependent 1D Schroedinger equation of a two-particle system consisting of a free carrier scattered by a bound one. The real-space entanglement between them is computed, at different times, for various initial conditions. The maximum entanglement corresponds to equal probability of transmission and reflection of the free particle.