Mode structure of a broadband high gain parametric amplifier
Mode structure of a broadband high gain parametric amplifier
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DOI：
10.1103/physrevresearch.3.023186
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发表时间：
2021-03
期刊：
影响因子：
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通讯作者：
Xin Chen;Jacob Zhang;Z. Ou
中科院分区：
文献类型：
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作者：
Xin Chen;Jacob Zhang;Z. Ou
采用单通脉冲泵浦的高增益参量放大器可以产生幅相纠缠的宽带双光子场，但具有复杂的光谱相关性。幸运的是，它们可以被分解成独立的时间模式。但一般对参数交互作用哈密顿量的处理没有考虑交互作用哈密顿量的时间排序问题，从而得出模态结构和时间模态函数不随增益增加而变化的错误结论。在本文中，我们采用了通常用于处理非线性干涉仪的方法，避免了时间顺序问题。这使我们能够导出微分积分形式的演化方程。高增益情况下的数值解表明，随着增益的增加，其模态分布发生变化，模态函数展宽，模态结构依赖于增益。这项研究将使我们对参数过程的模式结构有一个完整的了解，并为量子技术的各种应用生产高质量的量子源。
High gain parametric amplifier with a single-pass pulsed pump is known to generate broadband twin photon fields that are entangled in amplitude and phase but have complicated spectral correlation. Fortunately, they can be decomposed into independent temporal modes. But the common treatment of parametric interaction Hamiltonian does not consider the issue of time ordering problem of interaction Hamiltonian and thus leads to incorrect conclusion that the mode structure and the temporal mode functions do not change as the gain increases. In this paper, we use an approach that is usually employed for treating nonlinear interferometers and avoids the time ordering issue. This allows us to derive an evolution equation in differential-integral form. Numerical solutions for high gain situation indicate a gain-dependent mode structure that has its mode distributions changed and mode functions broadened as the gain increases. This study will enable us to have a complete picture of the mode structure of parametric processes and produce high quality quantum sources for a variety of applications of quantum technology.