论文标题
多模式腔和电路QED中强下转换的理论
Theory of strong down-conversion in multi-mode cavity and circuit QED
论文作者
论文摘要
我们重新审视多模式腔量子电动力学(QED)的超晶耦合方案,定义为当值和最近的空腔模式之间的真空兔振荡频率超过腔的游离光谱范围时发生。一个新的预测是,在消失的功率极限中测量的腔线线性光谱可以获取与相干单光子下调过程相关的量子诱导的级联相关的复杂的精细结构。这种多体效应很难被蛮力数字捕获,并且对Infra-Red和Ultra-Violet限制中的光结合参数敏感。我们专注于一个耦合到长传输线段的超导加磁管Qubit的示例情况。这样的电路QED设置中的转换率很容易超过几个MHz,这足以克服通常的脱碳过程。通过非常规的仪表选择使分析计算成为可能,其中量子电路分别通过磁通量/电荷变量在低/高频限制中与辐射相互作用。我们对精细光谱结构的预测为量子光学的“强下转化”态度奠定了基础,其中在非线性培养基中激发的单个光子自发地下转换的速度比吸收的速度快。
We revisit the superstrong coupling regime of multi-mode cavity quantum electrodynamics (QED), defined to occur when the frequency of vacuum Rabi oscillations between the qubit and the nearest cavity mode exceeds the cavity's free spectral range. A novel prediction is made that the cavity's linear spectrum, measured in the vanishing power limit, can acquire an intricate fine structure associated with the qubit-induced cascades of coherent single-photon down-conversion processes. This many-body effect is hard to capture by a brute-force numerics and it is sensitive to the light-matter coupling parameters both in the infra-red and the ultra-violet limits. We focused at the example case of a superconducting fluxonium qubit coupled to a long transmission line section. The conversion rate in such a circuit QED setup can readily exceed a few MHz, which is plenty to overcome the usual decoherence processes. Analytical calculations were made possible by an unconventional gauge choice, in which the qubit circuit interacts with radiation via the flux/charge variable in the low-/high-frequency limits, respectively. Our prediction of the fine spectral structure lays the foundation for the "strong down-conversion" regime in quantum optics, in which a single photon excited in a non-linear medium spontaneously down-converts faster than it is absorbed.