Maxwell consideration of polaritonic quasi-particle Hamiltonians in multi-level systems
Maxwell consideration of polaritonic quasi-particle Hamiltonians in multi-level systems
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DOI：
10.1063/1.4937462
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发表时间：
2015-12-07
影响因子：
4
通讯作者：
Schmidt-Grund, Ruediger
中科院分区：
文献类型：
--
作者：
Richter, Steffen;Michalsky, Tom;Schmidt-Grund, Ruediger
我们讨论了在具有多个光子模式或激子的情况下，激子和腔光子的光-物质耦合的正确描述问题。在文献中，可以找到两种不同的方法来研究唯象耦合哈密顿量：或者使用一个基数等于光子模和激子共振之和的单个哈密顿量。或者选择一组独立的哈密顿量，每个光子模式一个哈密顿量。这两种方法通常用于相同类型的多光子系统，这是不正确的。然而，在对实验数据进行建模时，很难确定合适的哈密顿量。通过数值传递矩阵计算，我们证明了每种方法的适用范围：第一种方法只适用于单个光子态与多个激子的耦合，而对于多个光子模，每个光子模必须使用单独的哈密顿量。(C)2015 AIP出版有限责任公司。
We address the problem of the correct description of light-matter coupling for excitons and cavity photons in the case of systems with multiple photon modes or excitons, respectively. In the literature, two different approaches for the phenomenological coupling Hamiltonian can be found: Either one single Hamiltonian with a basis whose dimension equals the sum of photonic modes and excitonic resonances is used. Or a set of independent Hamiltonians, one for each photon mode, is chosen. Both are usually used equivalently for the same kind of multi-photonic systems which cannot be correct. However, identifying the suitable Hamiltonian is difficult when modeling experimental data. By means of numerical transfer matrix calculations, we demonstrate the scope of application of each approach: The first one holds only for the coupling of a single photon state to several excitons, while in the case of multiple photon modes, separate Hamiltonians must be used for each photon mode. (C) 2015 AIP Publishing LLC.