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arXiv 1702.01632quant-phcond-mat.other
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多光子散射的图解法

Diagrammatic Approach to Multiphoton Scattering

Tian Feng See, Changsuk Noh, Dimitris G. Angelakis

摘要:

本文提出了一种系统地研究多光子在一维耦合系统中传输的方法。在散射矩阵(S-矩阵)的格林函数方法,我们开发了一种图解技术,分析获得系统的散射振幅,而在同一时间可视化所有可能的吸收和发射过程。我们的方法有助于减少显着的努力,找到一个多体玻色子系统的一般响应,特别是嵌入在格林函数的非线性响应。我们证明了我们的建议,通过物理相关的例子,涉及散射的多光子态从两个能级的发射器,以及从阵列的相关克尔非线性谐振器在玻色-哈伯德模型。

英文摘要:

We present a method to systematically study multi-photon transmission in one dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix (S-matrix), we develop a diagrammatic technique to analytically obtain the system's scattering amplitudes while at the same time visualise all the possible absorption and emission processes. Our method helps to reduce the significant effort in finding the general response of a many-body bosonic system, particularly the nonlinear response embedded in the Green's functions. We demonstrate our proposal through physically relevant examples involving scattering of multi-photon states from two-level emitters as well as from arrays of correlated Kerr nonlinear resonators in the Bose-Hubbard model.

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