AI 中文总结
研究双光子波导量子电动力学模拟中因带宽增加致计算成本高的问题，引入端到端框架明确控制有效带宽，通过截断频域并校准参数，在保持物理精度时降低希尔伯特空间维度。
AI 中文摘要
波导量子电动力学平台是实现可扩展量子技术的一种潜在方法，但由于描述传播光子需要大量频率模式，其模拟在计算上仍要求很高。实际上，增加模拟带宽会迅速提高数值成本，导致在精度和易处理性之间进行权衡。现有时域方法通过选择时间步长间接控制这种权衡，这模糊了离散化参数与所表示频谱窗口之间的联系。在这项工作中，我们引入了一个端到端框架，以明确控制双光子散射的波导量子电动力学模拟中的有效带宽。我们表明，截断频域需要模型参数的一致偏移，并推导出一种系统校准程序，以保持简化模型的物理精度。这使得能够调整数值频谱的中心频率和带宽，从而在保持物理精度的同时将希尔伯特空间维度降低几倍。我们讨论了这种校准的局限性，并将有限带宽观点与时域离散化联系起来。
英文摘要
Waveguide-QED platforms represent one potential approach to scalable quantum technologies, but their simulation remains computationally demanding due to the large number of frequency modes required to describe traveling photons. In practice, increasing the simulated bandwidth rapidly raises the numerical cost, leading to a trade-off between accuracy and tractability. The existing approaches formulated in time-domain indirectly control this trade-off through the choice of time step, which obscures the connection between discretization parameters and the represented spectral window. In this work, we introduce an end-to-end framework to explicitly control the effective bandwidth in waveguide-QED simulations of two-photon scattering. We show that truncating the frequency domain requires consistent shifts of the model parameters, and derive a systematic calibration procedure that preserves the physical accuracy of the reduced model. This enables tuning the central frequency and the bandwidth of the numerical spectrum, leading to a several-fold reduction in the Hilbert space dimension while maintaining physical accuracy. We discuss the limitations of this calibration and relate the finite-bandwidth viewpoint to time-domain discretizations.
Comments11 pages, 10 figures
