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arXiv 2009.08602quant-ph
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非马尔可夫波导QED中束缚态的最佳双光子激发

Optimal two-photon excitation of bound states in non-Markovian waveguide QED

Rahul Trivedi, Daniel Malz, Shanhui Fan, Jelena Vuckovic

摘要:

束缚态出现在波导QED系统中,发射极和光子模之间的耦合具有很强的频率依赖性。虽然用单光子波包激发这样的束缚态是不可能的,但由发射体介导的光子-光子相互作用可以用来用双光子态激发它们。在这封信中,我们使用散射理论提供上限的激发概率为一般的非马尔可夫波导QED系统,并表明,这一限制可以达到一个双光子波包与消失的不确定性的总光子能量。此外,我们还分析了具有多个束缚态的多发射极波导QED系统,并提供了一个系统的双光子波包的结构,可以激发这些束缚态的给定叠加。作为具体的例子,我们研究了具有单发射体和多发射体以及时滞反馈的波导QED系统中的束缚态俘获。

英文摘要:

Bound states arise in waveguide QED systems with a strong frequency-dependence of the coupling between emitters and photonic modes. While exciting such bound-states with single photon wave-packets is not possible, photon-photon interactions mediated by the emitters can be used to excite them with two-photon states. In this letter, we use scattering theory to provide upper limits on this excitation probability for a general non-Markovian waveguide QED system and show that this limit can be reached by a two-photon wave-packet with vanishing uncertainty in the total photon energy. Furthermore, we also analyze multi-emitter waveguide QED systems with multiple bound states and provide a systematic construction of two-photon wave-packets that can excite a given superposition of these bound states. As specific examples, we study bound state trapping in waveguide QED systems with single and multiple emitters and a time-delayed feedback.

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