Liouville-space R -matrix-Floquet description of atomic radiative processes involving autoionizing states in the presence of intense electromagnetic fields
Liouville-space R -matrix-Floquet description of atomic radiative processes involving autoionizing states in the presence of intense electromagnetic fields
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强电磁场存在下涉及自电离态的原子辐射过程的刘维尔空间 R 矩阵 Floquet 描述
DOI：
10.1088/0953-4075/47/2/025401
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Jacobs V
中科院分区：
文献类型：
--
作者：
Jacobs V
利用刘维尔空间、多模式Floquet-Fourier表示，为多电子原子系统中的相干光学现象开发了一种约化密度算符描述。Liouville空间公式提供了普通希尔伯特空间（哈密顿）R-矩阵-Floquet方法的自然推广，该方法已被开发用于多光子跃迁和激光辅助电子-原子碰撞过程。在这些应用中，R-矩阵-Floquet方法已被证明是能够提供一个准确的表示的复杂的，多电子原子系统的束缚，连续和自电离态的多层次结构。R矩阵Floquet方法的普通希尔伯特空间（Hamilton）公式已经在高度发达的计算机程序中实现，它可以提供经典多模电磁场与量子系统相互作用的非微扰处理。这个量子系统可以对应于一个多电子束缚原子系统和一个连续谱电子，但是在多电子原子波函数的展开式中加入赝态可以提供多个连续谱电子的表示。由此得到的“修饰”多电子原子态可用于强电磁场存在下一类广泛的原子碰撞和辐射过程的跃迁几率的现实的非微扰估计。为了将环境松弛和退相干现象，我们建议利用普通的希尔伯特空间（哈密顿）R-矩阵Floquet方法作为一个起点的刘维空间（约化密度算子）制定。为了说明如何刘维空间R矩阵Floquet制定可以实现相干原子辐射过程中，我们讨论的应用电磁诱导透明，以及相关的泵浦探测光学现象，也辐射和双电子复合的统一描述在电子-离子束相互作用和高温等离子体。
A reduced-density-operator description is developed for coherent optical phenomena in many-electron atomic systems, utilizing a Liouville-space, multiple-mode Floquet–Fourier representation. The Liouville-space formulation provides a natural generalization of the ordinary Hilbert-space (Hamiltonian) R-matrix-Floquet method, which has been developed for multi-photon transitions and laser-assisted electron–atom collision processes. In these applications, the R-matrix-Floquet method has been demonstrated to be capable of providing an accurate representation of the complex, multi-level structure of many-electron atomic systems in bound, continuum, and autoionizing states. The ordinary Hilbert-space (Hamiltonian) formulation of the R-matrix-Floquet method has been implemented in highly developed computer programs, which can provide a non-perturbative treatment of the interaction of a classical, multiple-mode electromagnetic field with a quantum system. This quantum system may correspond to a many-electron, bound atomic system and a single continuum electron. However, including pseudo-states in the expansion of the many-electron atomic wave function can provide a representation of multiple continuum electrons. The'dressed'many-electron atomic states thereby obtained can be used in a realistic non-perturbative evaluation of the transition probabilities for an extensive class of atomic collision and radiation processes in the presence of intense electromagnetic fields. In order to incorporate environmental relaxation and decoherence phenomena, we propose to utilize the ordinary Hilbert-space (Hamiltonian) R-matrix-Floquet method as a starting-point for a Liouville-space (reduced-density-operator) formulation. To illustrate how the Liouville-space R-matrix-Floquet formulation can be implemented for coherent atomic radiative processes, we discuss applications to electromagnetically induced transparency, as well as to related pump–probe optical phenomena, and also to the unified description of radiative and dielectronic recombination in electron–ion beam interactions and high-temperature plasmas.