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ACTA PHOTONICA SINICA

复合纳米机械振子系统中的克尔非线性研究

孙轶 SUN Yi, 陈华俊 CHEN Huajun

Published Jan 1, 2025• 2 citations
Publisher

Abstract

提出一个混合的纳米机械振子系统,该系统由两端夹紧的纳米机械振子组成,其中一个纳米机械振子上镶嵌有一枚二能级量子点。通过泵浦-探测技术对该系统光学特性进行分析。研究发现该系统中出现了声子诱导透明和类双法诺共振的现象。分别对系统中的两个耦合项进行分析,结果表明耦合系数分别与双峰之间的分裂距离和振幅差值呈函数关系,可以根据谱线中分裂横向距离和纵向振幅的绝对差值对未知的λ和β进行估算,在光学存储、信号调制等领域有着潜在的应用前景。

DOI
10.3788/gzxb20255402.0219001

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提出一个混合的纳米机械振子系统,该系统由两端夹紧的纳米机械振子组成,其中一个纳米机械振子上镶嵌有一枚二能级量子点。通过泵浦-探测技术对该系统光学特性进行分析。研究发现该系统中出现了声子诱导透明和类双法诺共振的现象。分别对系统中的两个耦合项进行分析,结果表明耦合系数分别与双峰之间的分裂距离和振幅差值呈函数关系,可以根据谱线中分裂横向距离和纵向振幅的绝对差值对未知的λ和β进行估算,在光学存储、信号调制等领域有着潜在的应用前景。
First prove that fµν(−ω) = fνµ(ω). To see this consider φµν(t) =∫ β 0 dλ〈Jν(−i~λ)Jµ(t)〉 or φµν(−t) = ∫ β 0 dλ〈Jν(−i~λ)Jµ(−t)〉 = ∫ β 0 dλtr(Jµ(−t)e−βHJν(−i~λ)) = dλtr(e−iHt/~Jµ(0)e−βH+λHJν(0)e−λH), (8.1) where the cyclic property of the trace operation is used, further, the inte- grand can be written as tr(e−βHe(β−λ)HJµ(0)e−(β−λ)HeiHt/~Jν(0)e−iHt/~) or 〈Jµ(−i~(β − λ))Jν(t)〉. Thus, φµν (−t) = ∫ β 0 dλ〈Jµ(−i~(β − λ))Jν(t)〉. (8.2) Shift the integration variable from λ to λ′ = β − λ φµν(−t) = ∫ β 0 dλ′〈Jµ(−i~λ)Jν(t)〉 = φνµ(t). (8.3) Now, in the definition of the Fourier transform of the response function (Equa- tion (3.53)) change ω to −ω and then shift the integration variable from t to −t fµν(−ω) = ∫ +∞ −∞ dtφµν(−t)eiωt = ∫ +∞ −∞ dtφνµ(t)e iωt = fνµ(ω). QED.
讨论了在串行Λ系统中制备初态和末态的连续叠加态的方法,这种方法是部分受激拉曼绝热通道的扩充.但是它又不同于部分受激拉曼绝热通道,每个斯托克斯脉冲先行相应的泵浦脉冲,但是所有的中间脉冲提前并且同时消失,而第一束斯托克斯脉冲和最后一束泵浦脉冲稍后同时消失.应用数值方法讨论了脉冲驰豫时间和失谐量对该方法的影响.数值结果表明要制备任意的叠加态,不仅要满足双光子共振,而且要满足单光子共振.
在某些冷原子实验中,需要提前测定冷原子的密度分布并为后续实验提供数据支持,以前的手动方法已不再适用,针对该问题提出了一种新型的冷原子密度分布测量方法,可在单个冷原子制备周期内实现对原子密度分布的测量。新的方法利用一对反亥姆霍兹线圈与一对亥姆霍兹线圈分别产生梯度磁场和偏置磁场,通过调节亥姆霍兹线圈电流,即可改变总磁场零点的位置,进而影响不同位置处的原子对探测光吸收的贡献,最终实现对原子密度分布的测量。在理论上分析了该方法的可行性,并提出了快速冷原子密度测量的实验方案。
Let [ a , a = 1. Let https://www.w3.org/1998/Math/MathML" display="block"> ρ ( t ) = Z ( t ) exp − β 1 ( t ) a ∗ a + β 2 ( t ) a 2 + β ¯ 2 ( t ) a ∗ 2 − β 3 ( t ) a − β ¯ 3 ( t ) a ∗ where β 1 ( t ) is real, Z ( t ), β 1 ( t ), β 2 ( t ), β 3 ( t ) are constrained by the conditions https://www.w3.org/1998/Math/MathML" display="block"> T r ( ρ ( t ) ) = and ρ ( t ) satisfies the GKSL equation https://www.w3.org/1998/Math/MathML" display="block"> ρ ′ ( t ) = − i [ H , ρ ( t ) ] − ( 1 / 2 ) L L ∗ ρ ( t ) + ρ ( t ) L L ∗ − 2 L ∗ ρ ( t ) L with https://www.w3.org/1998/Math/MathML" display="block"> H = ω a ∗ a + λ a + λ ¯ a ∗ L = α a + β a ∗ , α , β , λ ∈ ℂ
The effect of quantum fluctuations on the Peierls instability is investigated for two models, the Su-Schrieffer-Heeger model and the molecular model introduced by Holstein. The author finds for both models that when the ionic mass M not=0 the beta function has the form beta ( lambda R )=-(1-(1/N)f( lambda R / alpha R )) lambda R 2 / pi with alpha R being an invariant quantity alpha R =M R lambda R exp(-2 pi / lambda R ). This allows the study of the crossover behaviour M to 0 to M to infinity . In the limit M to 0 he obtains exactly the Gross-Neveau model (M=O) which has a Peierls gap for spin 1 / 2 (N=2). In the limit M to infinity the mean field Peierls gap is found. The molecular model with M=0 is different from the Gross-Neveau model (M=0). It is similar to the non-linear sigma model with the beta -function: beta ( lambda R )=-(1-2/N) lambda R 2 / pi . In this case there is no Peierls gap for spin 1 / 2 (N=2) or for spinless (N=1) electrons. The analysis is performed in a 1/N expansion. The renormalisation group method is used to compute the beta -function with an anisotropic parameter alpha R which controls the crossover behaviour. The renormalisation functions are obtained by a dimensional regularisation method in 2- in dimensions where simple poles and in (1/ in ) are cancelled.
量子密钥分发基于量子力学原理,为远程用户提供安全的密钥协同方法,是当前量子信息领域中实用化程度最高的技术之一。集成光学为量子密钥分发的实现提供了理想的技术平台,其成果已在系统规模、成本控制、集成度以及可扩展性等方面展现出显著优势。本文聚焦基于集成光学的量子密钥分发,首先对常用的集成光学材料平台和基础功能单元器件进行了概述;然后侧重系统实用化设计与实现,总结了集成量子密钥分发的代表性工作,并深入分析了集成量子密钥分发器件和系统的实际安全性问题;最后对基于集成器件的量子通信网络的发展进行了展望。