Multiphoton-resonance-induced fluorescence of a strongly driven two-level system under frequency modulation
Multiphoton-resonance-induced fluorescence of a strongly driven two-level system under frequency modulation
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频率调制下强驱动两能级系统的多光子共振诱导荧光
DOI：
10.1103/physreva.97.033817
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发表时间：
2018-03
影响因子：
2.9
通讯作者：
Zheng Hang
中科院分区：
文献类型：
--
作者：
Yan Yiying;Lü Zhiguo;Luo Junyan;Zheng Hang
研究了具有调制跃迁频率的强驱动二能级系统(TLS)的荧光光谱，该系统为双色驱动且具有多个共振频率。我们的目标是提供一个用微扰理论和旋波近似(RWA)难以处理的区域的荧光的可靠描述，并说明在离光子共振和多光子共振条件下的荧光的光谱特征。为了超越RWA，我们使用了一种结合么正变换和Floquet理论的半解析反旋转混合旋转波方法来计算双色驱动的TLS的双模Floquit态和准能。然后，我们在双模Floquit态的基础上求解了考虑自发衰变的主方程，得到了物理透明的荧光光谱。与推广的Floquet-Liouville方法得到的数值精确谱相比，本文的谱可适用于RWA和长期近似可能失效的较大参数范围。我们发现，在某些条件下，RWA中省略的横场的反旋转(CR)项对谱有不可忽略的贡献。特别是，在宽度与Bloch-Siegert位移相当的多光子共振中，由于CR引起的位移，RWA和非RWA光谱明显不同。我们还利用双模Floquit态之间的跃迁矩阵元分析了光谱的对称性。结果表明，在没有RWA的情况下，光谱的严格对称性是不可能实现的，但在考虑Bloch-Siegert位移的单光子共振和横场足够弱的多光子共振时，可以得到几乎对称的光谱。
We study the fluorescence spectrum of a strongly driven two-level system (TLS) with modulated transition frequency, which is a bichromatically driven TLS and has multiple resonance frequencies. We are aiming to provide a reliable description of the fluorescence in a regime that is difficult to tackle with perturbation theory and the rotating-wave approximation (RWA), and illustrate the spectral features of the fluorescence under off- and multiphoton-resonance conditions. To go beyond the RWA, we use a semianalytical counter-rotating-hybridized rotating-wave method that combines a unitary transformation and Floquet theory to calculate the two-mode Floquet states and quasienergies for the bichromatically driven TLS. We then solve the master equation accounting for the spontaneous decay in the bases of the two-mode Floquet states, and derive a physically transparent fluorescence spectrum. In comparison with the numerically exact spectrum from the generalized Floquet-Liouville approach, the present spectrum is found to be applicable in a wide range of the parameters where the RWA and the secular approximation may break down. We find that the counter-rotating (CR) terms of the transverse field omitted in the RWA have non-negligible contributions to the spectrum under certain conditions. Particularly, at the multiphoton resonance the width of which is comparable with the Bloch-Siegert shift, the RWA and non-RWA spectra markedly differ from each other because of the CR-induced shift. We also analyze the symmetry of the spectrum in terms of the transition matrix elements between the two-mode Floquet states. We show that the strict symmetry of the spectrum cannot be expected without the RWA but the almost symmetric spectrum can be obtained at the single-photon resonance that takes the Bloch-Siegert shift into account if the driving is moderately strong and at the multiphoton resonance with a sufficiently weak transverse field.
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DOI：
10.1103/physreva.40.3164
发表时间：
1989-09
期刊：
Physical review. A, General physics
影响因子：
--
作者：
Wilkens;Rzaewski
通讯作者：
Wilkens;Rzaewski
影响因子：
8.6
作者：
S. M. Ulrich;S. Ateş;S. Reitzenstein;A. Löffler;A. Forchel;P. Michler
通讯作者：
S. M. Ulrich;S. Ateş;S. Reitzenstein;A. Löffler;A. Forchel;P. Michler
DOI：
10.1103/physreva.53.4275
发表时间：
1996-06
期刊：
Physical review. A, Atomic, molecular, and optical physics
影响因子：
--
作者：
Z. Ficek;Z. Ficek;H. Freedhoff;H. Freedhoff
通讯作者：
Z. Ficek;Z. Ficek;H. Freedhoff;H. Freedhoff
影响因子：
3.7
作者：
C. Roy;S. Hughes
通讯作者：
C. Roy;S. Hughes
影响因子：
2.9
作者：
Yiying Yan;Z. Lü;Hang Zheng;Yang Zhao
通讯作者：
Yiying Yan;Z. Lü;Hang Zheng;Yang Zhao