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利用绝热过程实现量子信息转移

陈美香, 刘银春

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

提出一种利用绝热过程实现量子信息转移的方案.Λ型原子和经典场、单模腔场发生相互作用,系统的绝热演化在暗态中进行.利用这种绝热演化可实现Λ型原子间的所有量子信息的转移.用相似的方法还可实现腔场间的量子信息转移.本方案可有效地抑制原子的自发辐射,成功地实现量子信息转移.

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Supporting material and practice exercises

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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.

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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.

原子与分子物理学报•Jan 1, 2008•0 citations
提出一种利用绝热过程实现量子信息转移的方案.Λ型原子和经典场、单模腔场发生相互作用,系统的绝热演化在暗态中进行.利用这种绝热演化可实现Λ型原子间的所有量子信息的转移.用相似的方法还可实现腔场间的量子信息转移.本方案可有效地抑制原子的自发辐射,成功地实现量子信息转移.
作为量子领域的潜在能源供给系统,量子电池不可避免地经历由环境退相干诱导的提取功衰变过程。为了抑制能量耗散,本文提出了一种运动原子电池方案,其中原子所在的耗散腔与结构化环境发生耦合作用。本文通过开放量子系统方法,研究了量子电池最大提取功的动力学特性。我们发现,在非马尔可夫环境中,量子电池提取功的衰减显著减缓。相比于静止状态,当量子电池处于运动状态时,量子电池的存储性能得到了提升。这种能量保存效应在较高运动速度下更加显著。当环境记忆效应与运动控制同时作用时,两者有助于延长量子电池的放电寿命。此外,我们还研究了环境温度、随机噪声以及量子纠缠的影响。这些结论为开放量子电池提供了一种可行方案。
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.
We have studied the Spin 1 antiferromagnetic chain with both bilinear and biquadratic exchange interactions. The spin correlations have been calculated by means of the transfer matrix method based on the Trotter formula. The mass gap ( m (0)) at the ground state has been investigated as a function of the ratio λ between bilinear and biquadratic interactions. The result suggests that the gapless ground state persists in a finite range of λ, i.e., λ c < λ< λ 1 , with λ c = 0.5 and λ 1 > 1 which is consistent with the exact solution at the completely integrable point (λ= 1). The calculated mass gap ( m (0)) has been fitted to a Kosterlitz-Thouless (KT)-type for λ< λ c ( m (0)= A exp [- B /(λ c - λ) σ ]) producing the results σ= 0.49±0.04 and λ c =0.49±0.03.
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.