entropy Article Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators Matteo Villani 1,† , Guillermo Albareda 2,3,† , Carlos Destefani 1,† , Xavier Cartoixà 1,† and Xavier Oriols 1,*,† 1 Department of Electronic Engineering, Universitat Autònoma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain;
[email protected] (M.V.);
[email protected] (C.D.);
[email protected] (X.C.) 2 Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany;
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[email protected] † These authors contributed equally to this work. Abstract: Without access to the full quantum state, modeling quantum transport in mesoscopic systems requires dealing with a limited number of degrees of freedom. In this work, we analyze the possibility of modeling the perturbation induced by non-simulated degrees of freedom on the simulated ones as a transition between single-particle pure states. First, we show that Bohmian conditional wave functions (BCWFs) allow for a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of single-particle time-dependent pure states, either under Citation: Villani, M.; Albareda, G.; Destefani, C.; Cartoixà, X.; Oriols, X. Markovian or non-Markovian conditions. Second, we discuss the practical application of the method Scattering in terms of Bohmian for modeling light–matter interaction phenomena in a resonant tunneling device, where a single conditional wave functions for photon interacts with a single electron.