非局域极性物质中的极化激子量子化
Polaritonic quantisation in nonlocal polar material
摘要：
在Reststrahlen区域，在横向和纵向声子频率之间，极性介电材料对光产生金属响应，由此产生的强烈的光-物质相互作用可以导致形成称为表面声子极化激元的混合准粒子。最近的工作表明，当光学系统包含纳米级极性元素，这些激发可以获得纵向场分量作为结果的材料分散的晶格，导致形成二次准粒子称为横向极化激元。在这项工作中，我们建立在以前的宏观电磁理论发展一个完整的二次量子化理论的横向极化激元。从轻物质系统的哈密顿开始，我们处理引入弹性自由能的晶格畸变。然后，我们对角化的哈密顿量，证明运动方程的极化激元是等效的宏观电磁和量子化的非局部运营商。最后，我们展示了如何重建的电磁场的极化激元状态和探讨极化激元诱导的增强的Purcell因子。这些结果表明，如何非局域性可以缩小，增强和光谱调谐近场发射与中红外传感的应用。
英文摘要：
In the Reststrahlen region, between the transverse and longitudinal phonon frequencies, polar dielectric materials respond metallically to light and the resulting strong light-matter interactions can lead to the formation of hybrid quasiparticles termed surface phonon polaritons. Recent works have demonstrated that when an optical system contains nanoscale polar elements these excitations can acquire a longitudinal field component as a result of the material dispersion of the lattice, leading to the formation of secondary quasiparticles termed longitudinal-transverse polaritons. In this work we build on previous macroscopic electromagnetic theories developing a full second-quantised theory of longitudinal-transverse polaritons. Beginning from the Hamiltonian of the light-matter system we treat distortion to the lattice introducing an elastic free energy. We then diagonalise the Hamiltonian, demonstrating the equations of motion for the polariton are equivalent to the those of macroscopic electromagnetism and quantise the nonlocal operators. Finally we demonstrate how to reconstruct the electromagnetic fields in terms of the polariton states and explore polariton induced enhancements of the Purcell factor. These results demonstrate how nonlocality can narrow, enhance and spectrally tune near field emission with applications in mid-infrared sensing.
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