Expanded bandwidth for production of the optical vortex by cyclotron radiation

在过去的一年里，我发表了几篇关于开放量子系统中的马尔可夫动力学和非马尔可夫动力学的文章[1-3]，其中一篇工作[1]特别关注当波导内的量子发射器的特征频率与该波导内的截止频率匹配时的动力学，这是一个普遍的结果。在这种情况下，影响动态的一个关键因素是直接出现在截止点的异常点(EP)。在过去的一年里，在将这个问题扩展到电子在圆柱形波导中经历回旋运动的具体情况方面取得了重大进展。(请注意，从技术上讲，回旋问题是一个经典问题；然而，这个问题在很大程度上仍然类似于量子问题。)在与我来自美国的合作者的部分合作中，我们已经推导出了一个哈密顿量，它代表了系统的动态演化，现在我们正在研究产生光学涡旋的详细动力学。我给出了不同情况下耦合模的衰减宽度和修正频率的一些简单近似，这将有助于更大的动力学计算。修订研究3,033029(2021年)。[2]物理。版本A 104,062215(2021年).[3]J.Phys.：Conf.先生。2038年、012011(2021年)。

In the previous year, I published several articles on the Markovian and non-Markovian dynamics in open quantum systems [1-3], including one work [1] particularly focused on the dynamics when the characteristic frequency of a quantum emitter inside a waveguide matches with the cutoff frequency inside of that waveguide, which is a universal result. A key factor influencing the dynamics in this case is an exceptional point (EP) appearing directly at the cutoff. In the last year, significant progress has been made in extending that problem to the specific case of an electron undergoing cyclotronic motion inside of a cylindrical waveguide. (Note that the cyclotron problem is technically a classical problem; however, the problem is still largely analogous to the quantum problem.) Working in part with my collaborator from the US, a Hamiltonian has been derived representing the dynamical evolution of the system and now we are in the middle of working out the detailed dynamics for the production of the optical vortex. I have shown some simple approximations for the decay width and modified frequency of the coupled modes under various circumstances, which should aid in the larger calculation of the dynamics.[1] Phys. Rev. Research 3, 033029 (2021).[2] Phys. Rev. A 104, 062215 (2021).[3] J. Phys.: Conf. Ser. 2038, 012011 (2021).