论文标题
以非公开能量和动量运算符的场景中的Bohmian条件波函数散射
Scattering in Terms of Bohmian Conditional Wave Functions for Scenarios with Non-Commuting Energy and Momentum Operators
论文作者
论文摘要
在不访问完整的量子状态的情况下,对介质系统中的量子传输进行建模需要处理有限数量的自由度。在这项工作中,我们分析了模拟模拟自由度在模拟自由度上引起的扰动的可能性,因为单粒子纯状态之间的过渡。首先,我们表明Bohmian条件波函数(BCWF)允许在Markovian或非马克维亚条件下,对开放量子系统中电子动力学进行严格讨论。其次,我们讨论了在谐振隧道设备(RTD)中建模的方法的实际应用,其中单个光子正在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定义的能量的初始单粒子BCWF之间的过渡(而不是定义明确的动量)。
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).