Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
Cross-Kerr nonlinearity between continuous-mode coherent states and single photons
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DOI：
10.1103/physreva.83.053826
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发表时间：
2011-05-18
影响因子：
2.9
通讯作者：
Simon, Christoph
中科院分区：
文献类型：
--
作者：
He, Bing;Lin, Qing;Simon, Christoph
单光子和相干态之间的弱交叉克尔非线性是量子信息处理中许多应用的基础。迄今为止，这些非线性主要是根据高度理想化的单模模型进行讨论的。我们发展了连续模式光子脉冲之间相互作用的一般理论，并将其应用于单光子与相干态相互作用的情况。我们使用保真度和条件相位的概念定量研究通常单模近似的有效性。我们证明，在脉冲完全相互穿过并且抑制不需要的横模效应的条件下，高保真度、非零条件相位和高光子数是兼容的。
Weak cross-Kerr nonlinearities between single photons and coherent states are the basis for many applications in quantum-information processing. These nonlinearities have so far mainly been discussed in terms of highly idealized single-mode models. We develop a general theory of the interaction between continuous-mode photonic pulses and apply it to the case of a single photon interacting with a coherent state. We quantitatively study the validity of the usual single-mode approximation using the concepts of fidelity and conditional phase. We show that high fidelities, nonzero conditional phases, and high photon numbers are compatible, under conditions where the pulses fully pass through each other and where unwanted transverse-mode effects are suppressed.