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arXiv 2312.09239quant-ph
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超越参数近似:宏观下转换中的泵浦耗尽、纠缠与压缩

Beyond the parametric approximation: pump depletion, entanglement and squeezing in macroscopic down-conversion

Karthik Chinni, Nicolás Quesada

AI总结:

本研究突破参数近似局限,结合多种理论与数值方法研究宏观下转换中泵浦模式的动力学特性,推导相关特征产生时间尺度并提出纠缠见证方案,分析模式光子数统计规律。

摘要:

我们采用累积量展开法、微扰理论,以及对泵浦平均光子数高达十万的系统进行全数值模拟,研究了下转换哈密顿量中泵浦模式的动力学。我们特别关注实验相关初始态(泵浦模式初始处于相干态)下泵浦模式的耗尽、纠缠和压缩等特性。通过该分析,我们得到了各类物理量的短时行为,并推导了上述无法通过参数近似理解的特征在系统中产生的时间尺度。我们还提出了一种包含玻色算符矩的纠缠见证(entanglement witness),可捕捉泵浦模式的纠缠。最后,我们研究了泵浦模式和信号/闲频模式的光子数统计,以理解实验相关时间尺度下这些模式的一般行为。

英文摘要:

We study the dynamics of the pump mode in the down-conversion Hamiltonian using the cumulant expansion method, perturbation theory, and the full numerical simulation of systems with a pump mean photon number of up to one hundred thousand. We particularly focus on the properties of the pump-mode such as depletion, entanglement, and squeezing for an experimentally relevant initial state in which the pump mode is initialized in a coherent state. Through this analysis, we obtain the short-time behaviour of various quantities and derive timescales at which the above-mentioned features, which cannot be understood through the parametric approximation, originate in the system. We also provide an entanglement witness involving moments of bosonic operators that can capture the entanglement of the pump mode. Finally, we study the photon-number statistics of the pump and the signal/idler modes to understand the general behaviour of these modes for experimentally relevant time scales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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