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理论物理通讯：英文版

Controllable Absorption and Dispersion Properties of an RF-driven Five-Level Atom in a Double-Band Photonic-Band-Gap Material

丁春玲, 李家华, 杨晓雪

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

驾驶五水平的原子在 photonic 晶体嵌入的无线电频率(RF ) 的探查吸收分散系列被考虑各向同性的双乐队 photonic-band-gap (PBG ) 水库调查。在使用的模型，分别地，二转变被上面、更低的乐队在如此的 PBG 材料联合，因此导致一些好奇的现象。数字模拟为光系列被执行。当一转变频率在乐队差距内，其它在差距外面时，它被发现那，在那里出现在吸收系列的三座山峰。然而，为案例，二转变频率躺着在内或在乐队差距外面，系列显示四吸收侧面。特别，在那里出现在系列的二座锋利的山峰当两转变频率在乐队内存在时，豁开。吸收性、散的反应上的驾驶 RF 的地的紧张和频率的影响在不同乐队边位置下面被分析。一个透明性窗口出现在吸收系列，这被发现并且被调整系统参数被分散侧面的一个很陡峭的变化伴随。这些结果证明系统的吸收分散性质强烈取决于导致 RF 的量干扰和 PBG 水库的状态(DOS ) 的密度。

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原子在光子晶體中的幅射現象研究

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[[abstract]]吾人已應用分數微積分法於具有長時間記憶現象的光子晶體系統，利用分數微積分法研究在光子晶體中的原子幅射現象，吾人可容易獲得正確且無多值函數的物理解，光子在光子晶體中多次散射所引起的碎形現象，可由分數微積分所得之分數微分方程式正確描述。由於分數微積分法的容易性，因此吾人計畫第一年研究如何將分數微積分法擴大應用於三階原子在光子晶體中的幅射現象，兩高能階與低能階經由光子晶體偶合而形成幅射干涉，此干涉現象將影響原子激發態的機率分佈，此兩激發態間的同調性可產生量子拍節，至於第二年的研究吾人將分數微積分法應用於不穩定系統中的Zeno 與反Zeno 效應，觀測次數的多寡可影響幅射的快慢，對於三階原子在光子晶體中的幅射干涉現象，觀測次數的多寡亦可影響干涉現象，進而影響兩激發態間的同調性，最後第三年的研究吾人將考慮單原子在光子晶體缺陷中的幅射現象，缺陷中的光子可與原子強力作用產生分裂的光子與原子混合態(拉比分裂)，此混合態與光子晶體儲庫間的作用產生有別於光子晶體中的原子幅射現象合，混合態間的同調性可產生量子拍節。 We applied the fractional calculus to study the dynamics of the spontaneous emission of an atom in a photonic crystal band gap (PBG). Contrary to the previous study, we show that there is no unphysical state of fractionalized atomic population in the excited state when the resonant atomic frequency lies outside the band gap. Therefore, we believe that the correct description of the dynamics of the spontaneous emission in a PBG should be expressed in terms of the fractional calculus.We apply the fractional calculus to study the quantum interference of spontaneous emission from a three-level atom with the two upper levels coupled to the photonic crystal reservoir (the first-year proposal), Quantum Zeno and anti-Zeno effect of an atom embedded in photonic crystals (the second-year proposal), and the spontaneous emission of an atom in a defect of a PBG. (the third-year proposal). It has been shown that there exists a dressed state of the atom with a localized field mode. Such a dressed photonic effect will be used to study the effect of quantum interference without a coherent driving field in the spontaneous emission of a three-level atom embedded in a photonic crystal. The atom has two upper levels and one lower level. The two upper levels are coupled to the lower one via the same reservoir. The interference between two transitions leads to quasiperiodic oscillations of population between the two upper levels with large amplitudes.We shall study how frequent measurement on a three-level atom embedded in PBG can affect the quantum interference. If a small disorder or defect is introduced into the photonic crystal, there exists an ultimate photonic nanocavity, with ultra-large quality factor Q factor. There is a strong coupling between light and an atom. The spontaneous emission spectrum will consist of a doublet (Rabi splitting). The coherence of a doublet can create quantum beats. Quantum beats do indeed occur even if the system is not initially prepared in a coherent superposition of the upper states, when multiple scattering events are taken into account.

•Aug 1, 2009•0 citations

Absorption Spectra of a Three-Level Atom Embedded in a PBG Reservoir

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我们介绍“进 anatom 的密度矩阵方程的条款在 photonic 乐队差距(PBG ) 嵌入的腐烂率”水库成功地。由利用 masterequations，探查吸收系列和在 thePBG 水库的一个三水平的原子的折射度性质被获得。在象原子的吸收上的干扰也被拿了进 account.It 的量的 theeffects 一样的原子和 PBG 水库之间的相互作用有趣在一分散的折射度 areexhibited 的异常分散关系的二种不同类型排队。这里使用的方法论能被用于在一座 PBG 水库嵌入的另外的原子模型的量干扰效果的 theoreticalinvestigation。

Chinese Physics Letters•Jan 1, 2007•0 citations

Controllable Absorption and Dispersion Properties of an RF-driven Five-Level Atom in a Double-Band Photonic-Band-Gap Material

Chunling Ding, Jiahua Li, Xiaoxue Yang

The probe absorption-dispersion spectra of a radio-frequency (RF)-driven five-level atom embedded in a photonic crystal are investigated by considering the isotropic double-band photonic-band-gap (PBG) reservoir. In the model used, the two transitions are, respectively, coupled by the upper and lower bands in such a PBG material, thus leading to some curious phenomena. Numerical simulations are performed for the optical spectra. It is found that when one transition frequency is inside the band gap and the other is outside the gap, there emerge three peaks in the absorption spectra. However, for the case that two transition frequencies lie inside or outside the band gap, the spectra display four absorption profiles. Especially, there appear two sharp peaks in the spectra when both transition frequencies exist inside the band gap. The influences of the intensity and frequency of the RF-driven field on the absorptive and dispersive response are analyzed under different band-edge positions. It is found that a transparency window appears in the absorption spectra and is accompanied by a very steep variation of the dispersion profile by adjusting system parameters. These results show that the absorption-dispersion properties of the system depend strongly on the RF-induced quantum interference and the density of states (DOS) of the PBG reservoir.

Communications in Theoretical Physics•Jan 1, 2011•3 citations
驾驶五水平的原子在 photonic 晶体嵌入的无线电频率(RF ) 的探查吸收分散系列被考虑各向同性的双乐队 photonic-band-gap (PBG ) 水库调查。在使用的模型，分别地，二转变被上面、更低的乐队在如此的 PBG 材料联合，因此导致一些好奇的现象。数字模拟为光系列被执行。当一转变频率在乐队差距内，其它在差距外面时，它被发现那，在那里出现在吸收系列的三座山峰。然而，为案例，二转变频率躺着在内或在乐队差距外面，系列显示四吸收侧面。特别，在那里出现在系列的二座锋利的山峰当两转变频率在乐队内存在时，豁开。吸收性、散的反应上的驾驶 RF 的地的紧张和频率的影响在不同乐队边位置下面被分析。一个透明性窗口出现在吸收系列，这被发现并且被调整系统参数被分散侧面的一个很陡峭的变化伴随。这些结果证明系统的吸收分散性质强烈取决于导致 RF 的量干扰和 PBG 水库的状态(DOS ) 的密度。
[[abstract]]吾人已應用分數微積分法於具有長時間記憶現象的光子晶體系統，利用分數微積分法研究在光子晶體中的原子幅射現象，吾人可容易獲得正確且無多值函數的物理解，光子在光子晶體中多次散射所引起的碎形現象，可由分數微積分所得之分數微分方程式正確描述。由於分數微積分法的容易性，因此吾人計畫第一年研究如何將分數微積分法擴大應用於三階原子在光子晶體中的幅射現象，兩高能階與低能階經由光子晶體偶合而形成幅射干涉，此干涉現象將影響原子激發態的機率分佈，此兩激發態間的同調性可產生量子拍節，至於第二年的研究吾人將分數微積分法應用於不穩定系統中的Zeno 與反Zeno 效應，觀測次數的多寡可影響幅射的快慢，對於三階原子在光子晶體中的幅射干涉現象，觀測次數的多寡亦可影響干涉現象，進而影響兩激發態間的同調性，最後第三年的研究吾人將考慮單原子在光子晶體缺陷中的幅射現象，缺陷中的光子可與原子強力作用產生分裂的光子與原子混合態(拉比分裂)，此混合態與光子晶體儲庫間的作用產生有別於光子晶體中的原子幅射現象合，混合態間的同調性可產生量子拍節。 We applied the fractional calculus to study the dynamics of the spontaneous emission of an atom in a photonic crystal band gap (PBG). Contrary to the previous study, we show that there is no unphysical state of fractionalized atomic population in the excited state when the resonant atomic frequency lies outside the band gap. Therefore, we believe that the correct description of the dynamics of the spontaneous emission in a PBG should be expressed in terms of the fractional calculus.We apply the fractional calculus to study the quantum interference of spontaneous emission from a three-level atom with the two upper levels coupled to the photonic crystal reservoir (the first-year proposal), Quantum Zeno and anti-Zeno effect of an atom embedded in photonic crystals (the second-year proposal), and the spontaneous emission of an atom in a defect of a PBG. (the third-year proposal). It has been shown that there exists a dressed state of the atom with a localized field mode. Such a dressed photonic effect will be used to study the effect of quantum interference without a coherent driving field in the spontaneous emission of a three-level atom embedded in a photonic crystal. The atom has two upper levels and one lower level. The two upper levels are coupled to the lower one via the same reservoir. The interference between two transitions leads to quasiperiodic oscillations of population between the two upper levels with large amplitudes.We shall study how frequent measurement on a three-level atom embedded in PBG can affect the quantum interference. If a small disorder or defect is introduced into the photonic crystal, there exists an ultimate photonic nanocavity, with ultra-large quality factor Q factor. There is a strong coupling between light and an atom. The spontaneous emission spectrum will consist of a doublet (Rabi splitting). The coherence of a doublet can create quantum beats. Quantum beats do indeed occur even if the system is not initially prepared in a coherent superposition of the upper states, when multiple scattering events are taken into account.
我们介绍“进 anatom 的密度矩阵方程的条款在 photonic 乐队差距(PBG ) 嵌入的腐烂率”水库成功地。由利用 masterequations，探查吸收系列和在 thePBG 水库的一个三水平的原子的折射度性质被获得。在象原子的吸收上的干扰也被拿了进 account.It 的量的 theeffects 一样的原子和 PBG 水库之间的相互作用有趣在一分散的折射度 areexhibited 的异常分散关系的二种不同类型排队。这里使用的方法论能被用于在一座 PBG 水库嵌入的另外的原子模型的量干扰效果的 theoreticalinvestigation。
The probe absorption-dispersion spectra of a radio-frequency (RF)-driven five-level atom embedded in a photonic crystal are investigated by considering the isotropic double-band photonic-band-gap (PBG) reservoir. In the model used, the two transitions are, respectively, coupled by the upper and lower bands in such a PBG material, thus leading to some curious phenomena. Numerical simulations are performed for the optical spectra. It is found that when one transition frequency is inside the band gap and the other is outside the gap, there emerge three peaks in the absorption spectra. However, for the case that two transition frequencies lie inside or outside the band gap, the spectra display four absorption profiles. Especially, there appear two sharp peaks in the spectra when both transition frequencies exist inside the band gap. The influences of the intensity and frequency of the RF-driven field on the absorptive and dispersive response are analyzed under different band-edge positions. It is found that a transparency window appears in the absorption spectra and is accompanied by a very steep variation of the dispersion profile by adjusting system parameters. These results show that the absorption-dispersion properties of the system depend strongly on the RF-induced quantum interference and the density of states (DOS) of the PBG reservoir.