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Photon wave-mechanical theory of single-photon diffraction from a mesoscopic hole
Journal of Physics B: Atomic, Molecular and Optical Physics ( IF 1.5 ) Pub Date : 2021-03-09 , DOI: 10.1088/1361-6455/abd87a
Jesper Jung , Ole Keller

A quantum electrodynamical theory for single-photon diffraction of light from a mesoscopic hole in a quantum well (QW) screen with (Schrdinger) electron dynamics is established. Photon wave mechanics (PWM) is used to extend and bridge the gap between hitherto used semiclassical and quantum optical theoretical approaches for analyses of diffraction of light. An essentially complete calculation is carried out for a paradigm example: (i) a single-photon point-like electric-dipole (ED) primary source, emitting (ii) a wave packet photon toward (iii) a two-level QW screen possessing (iv) in-plane jellium electrodynamics with (v) a single mesoscopic ED hole. The PWM description is based on the, in this context attractive, Riemann–Silberstein–Oppenheimer–Bialynicki formulation. The effective size of the hole is determined on the basis of a quantum mechanical extinction theorem for the in-plane jellium electron dynamics in the vicinity of the hole. The incident electrodynamic field induced current density in the screen (with hole) allows one to obtain the single-photon probabilities for scattering from the hole and the screen. A one-photon wave train emitted by the primary ED point-like source is assumed to drive the scattering process. The far-field hole-screen diffraction pattern is calculated paying particular attention to the spectral diffraction (correlation) pattern, which illustrates the interplay between the wave-train frequency, the screen/hole local-field resonance frequency, and the Bohr frequency. Our theory shows that the ED hole polarizability is close to that of a one-dimensional single harmonic oscillator with resonance frequency coinciding with the local-field resonance in the two-level QW screen.



中文翻译:

介观孔中单光子衍射的光子波力学理论

建立了具有(Schrdinger)电子动力学的量子阱(QW)屏幕中介观孔的光的单光子衍射的量子电动力学理论。光子波力学(PWM)用于扩展弥合间隙在迄今为止使用的半经典和量子光学理论方法之间进行光衍射分析。对于范例示例进行了基本上完整的计算:(i)单光子点状电偶极子(ED)主源,向(iii)拥有两级QW屏幕的波包光子发射(ii)波包光子(iv)具有(v)单个介观ED孔的平面内胶体电动力学。PWM描述基于Riemann–Silberstein–Oppenheimer–Bialynicki公式(在这种情况下颇具吸引力)。孔的有效尺寸是根据孔附近的平面内电子动力学的量子力学消光定理确定的。屏幕(带孔)中入射的电动场感应的电流密度使人可以获得从孔和屏幕散射的单光子概率。假设由主要ED点状源发出的单光子波列来驱动散射过程。计算远场孔-屏幕衍射图时要特别注意频谱衍射(相关)图,该图说明了波速频率,屏幕/孔局部场共振频率和玻尔频率之间的相互作用。我们的理论表明,ED孔的极化率接近于一维单谐振荡器,其谐振频率与两级QW屏幕中的局部场谐振相吻合。假设由主要ED点状源发出的单光子波列来驱动散射过程。计算远场孔-屏幕衍射图时要特别注意频谱衍射(相关)图,该图说明了波速频率,屏幕/孔局部场共振频率和玻尔频率之间的相互作用。我们的理论表明,ED孔的极化率接近于一维单谐振荡器,其谐振频率与两级QW屏幕中的局部场谐振相吻合。假设由主要ED点状源发出的单光子波列来驱动散射过程。计算远场孔-屏幕衍射图时要特别注意频谱衍射(相关)图,该图说明了波速频率,屏幕/孔局部场共振频率和玻尔频率之间的相互作用。我们的理论表明,ED孔的极化率接近于一维单谐振荡器,其谐振频率与两级QW屏幕中的局部场谐振相吻合。该图说明了波列频率,屏幕/孔局部场共振频率和玻尔频率之间的相互作用。我们的理论表明,ED孔的极化率接近于一维单谐振荡器,其谐振频率与两级QW屏幕中的局部场谐振相吻合。该图说明了波列频率,屏幕/孔局部场共振频率和玻尔频率之间的相互作用。我们的理论表明,ED孔的极化率接近于一维单谐振荡器,其谐振频率与两级QW屏幕中的局部场谐振相吻合。

更新日期:2021-03-09
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