Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators

• URL: http://arxiv.org/abs/2202.01569v1
• Date: Thu, 3 Feb 2022 13:07:43 GMT
• Title: Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators
• Authors: Matteo Villani, Guillermo Albareda, Carlos Destefani, Xavier Cartoix\`a, Xavier Oriols
• Abstract summary: We show that Bohmian conditional wave functions (BCWF) allow a rigorous discussion of the dynamics of electrons inside open quantum systems. We discuss the practical application of the method for modeling light-matter interaction phenomena in a resonant tunneling device.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 the 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 (BCWF) allow a rigorous discussion of the dynamics of electrons inside open quantum systems in terms of such single-particle pure states, either under Markovian or non-Markovian conditions. Second, we discuss the practical application of the method for modeling light-matter interaction phenomena in a resonant tunneling device (RTD), where a single photon is interacting with a single electron. Third, we emphasize the importance of interpreting such scattering mechanism as a transition between initial and final single-particle BCWF with well-defined energies (rather than with well-defined momenta).

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