Villani Matteo, Albareda Guillermo, Destefani Carlos, Cartoixà Xavier, Oriols Xavier
Department of Electronic Engineering, Universitat Autònoma de Barcelona, Campus de la UAB, 08193 Bellaterra, Barcelona, Spain.
Max Planck Institute for the Structure and Dynamics of Matter, Luruper Chaussee 149, 22761 Hamburg, Germany.
Entropy (Basel). 2021 Mar 30;23(4):408. doi: 10.3390/e23040408.
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 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, where a single photon interacts with a single electron. Third, we emphasize the importance of interpreting such a scattering mechanism as a transition between initial and final single-particle BCWF with well-defined central energies (rather than with well-defined central momenta).
在无法获取完整量子态的情况下，对介观系统中的量子输运进行建模需要处理有限数量的自由度。在这项工作中，我们分析了将未模拟自由度对已模拟自由度所诱导的微扰建模为单粒子纯态之间跃迁的可能性。首先，我们表明，无论是在马尔可夫条件还是非马尔可夫条件下，玻姆条件波函数（BCWFs）都允许根据单粒子含时纯态对开放量子系统内部电子的动力学进行严格讨论。其次，我们讨论了该方法在共振隧穿器件中对光与物质相互作用现象进行建模的实际应用，其中单个光子与单个电子相互作用。第三，我们强调将这种散射机制解释为具有明确中心能量（而非明确中心动量）的初始和最终单粒子BCWF之间跃迁的重要性。
