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arXiv 2603.16628quant-ph
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少光子脉冲波导量子电动力学中单人工原子的量子动力学:频率依赖散射理论与时间依赖矩阵积态

Quantum dynamics of few-photon pulsed waveguide-QED with a single artificial atom: frequency-dependent scattering theory and time-dependent matrix product states

Queen’s University(女王大学)

Sofia Arranz Regidor, Matthew Kozma, Stephen Hughes

AI总结:

研究少光子脉冲在波导量子电动力学中与单人工原子的散射动力学,比较输入输出散射方法与矩阵积态方法,分析频率依赖散射矩阵和时间依赖波函数的计算,展示双光子相关函数的特征形状及非线性动力学行为。

摘要:

我们展示了单人工原子在波导量子电动力学系统中脉冲少光子散射的量子动力学研究,包括双态系统(TLS)或量子比特。该研究直接比较了两种不同的量子理论模拟方法:(i)使用频率依赖散射矩阵的输入输出散射方法,以及(ii)使用量子噪声操作符在时间区间内和张量网络技术求解整个系统时间依赖波函数的矩阵积态(MPS)方法。从单光子和双光子福克态脉冲的脉冲激发开始,我们首先展示了如何通过散射矩阵方法计算时间依赖可观测量,包括频率积分编码脉冲光谱,以及如何提取激发量子发射体的人口动力学,以及线性和非线性贡献。我们给出了对称和非对称TLS耦合的解。然后展示了如何通过MPS更直接地计算量子比特和场可观测量,并获得双光子相关函数在两个时间点的特征鸟形形状,该形状已在最近的实验中观察到。我们比较并对比了这两种方法,对于单光子和双光子激发脉冲,展示了良好的一致性。我们还展示了线性和非线性贡献的研究,这些可以通过散射理论轻松计算,并展示了脉冲持续时间的重要性。最后,我们展示了MPS方法在轻松处理更高N光子激发方面的明显优势,并展示了所选示例人口动力学,直到八光子福克态脉冲,表现为脉冲相互作用期间清晰的非线性人口振荡,类似于经典拉比振荡,但使用具有消失电场期望值的量子输入场。

英文摘要:

We present a quantum dynamical study of pulsed few-photon scattering from a single artificial atom, consisting of a two-level system (TLS) or qubit, in a waveguide QED system, directly comparing and contrasting two different quantum theoretical simulation methods: (i) an input-output scattering approach that uses frequency-dependent scattering matrices, and (ii) a matrix product states (MPS) approach, which uses quantum noise operators in time bins and a tensor network technique to solve the time-dependent waveguide function for the entire system. Beginning with pulsed excitation using one-photon and two-photon Fock state pulses, we first show how to compute time-dependent observables with the scattering matrix approach, in terms of frequency integrals that encode the pulse spectrum, including how to extract the population dynamics of the excited quantum emitter, as well as the linear and nonlinear contributions. We present solutions for both symmetric and chiral TLS coupling. We then show how to compute the qubit and field observables in a more direct way using MPS, and obtain the characteristic bird-like shape for the two-photon correlation function at two times, which has been observed in recent experiments. We compare and contrast both of these methods, for one and two-photon excitation pulses, and show excellent agreement. We also present a study of the linear and nonlinear contributions, which can easily be calculated using scattering theory, and show the important role of pulse duration. Finally, we demonstrate the clear advantages of MPS by easily going to higher N-photon excitations, and show selected example population dynamics of up to eight-photon Fock-state pulses, manifesting in clear nonlinear population oscillations during the pulse interaction, similar to classical Rabi oscillations, but with quantum input fields that have a vanishing electric field expectation value.

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