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首页> 外文期刊>Physical review >Signal-to-pump back action and self-oscillation in double-pump Josephson parametric amplifier
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Signal-to-pump back action and self-oscillation in double-pump Josephson parametric amplifier

机译：双泵Josephson参数放大器中的信号泵反向作用和自激振荡

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摘要

We present the theory of a Josephson parametric amplifier employing two-pump sources. Our calculations are based on input-output theory, and can easily be generalized to any coupled system involving parametric interactions. We analyze the operation of the device, taking into account the feedback introduced by the reaction of the signal and noise on the pump power, and in this framework, compute the response functions of interest-signal and idler gains, internal gain of the amplifier, and self-oscillation signal amplitude. To account for this back action between signal and pump, we adopt a mean-field approach and self-consistently explore the boundary between amplification and self-oscillation. The coincidence of bifurcation and self-oscillation thresholds reveals that the origin of coherent emission of the amplifier lies in the multiwave mixing of the noise components. Incorporation of the back action leads the system to exhibit hysteresis, dependent on parameters such as temperature and detuning from resonance. Our analysis also shows that the resonance condition itself changes in the presence of back action and this can be understood in terms of the change in plasma frequency of the junction. The potential of the double-pump amplifier for quantum-limited measurements and as a squeezer is also discussed.
机译：我们介绍采用两个泵浦源的约瑟夫森参数放大器的理论。我们的计算基于输入输出理论，可以轻松地推广到任何涉及参数交互的耦合系统。我们考虑到信号和噪声对泵浦功率的反应所引入的反馈，来分析设备的运行情况，并在此框架中计算出兴趣信号和惰轮增益，放大器的内部增益，和自激信号幅度。为了解决信号和泵浦之间的这种反向作用，我们采用均值场方法，并自洽地探索放大和自激振荡之间的边界。分叉阈值和自激振荡阈值的重合揭示了放大器的相干发射的根源在于噪声分量的多波混合。并入反作用力会使系统表现出滞后现象，这取决于诸如温度和共振失谐之类的参数。我们的分析还表明，共振条件本身会在存在反作用的情况下发生变化，这可以根据结的等离子体频率的变化来理解。还讨论了双泵放大器的潜力，用于量子极限测量和作为压缩器。

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