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arXiv quant-ph/0206115quant-ph
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共振增强四波混频的量子理论:平均场和精确数值解

Quantum theory of resonantly enhanced four-wave mixing: mean-field and exact numerical solutions

Mattias T. Johnsson, Michael Fleischhauer

摘要:

本文对基于电磁感应透明(EIT)的共振前向四波混频进行了全量子分析。特别是,我们研究的制度,有效的非线性转换与低强度的领域,已预测从半经典分析。在绝热极限下导出了有效的非线性相互作用哈密顿量。与传统的非线性光学相比,该哈密顿量在场中不具有功率扩展,并且转换长度随着输入功率而增加。我们分析了驻波混合过程中的前向散射配置使用精确的数值分析高达$10^3$输入光子和比较的结果与平均场的方法。由于量子效应,从两个泵浦场到信号和闲频模式的完全转换仅在大相干泵浦强度或在少光子Fock态的泵浦场下渐近实现。信号光场和闲频光场具有理想的量子关联,这在量子通信中具有潜在的应用价值。我们还讨论了连续量子计算中单光子相位门的实现。

英文摘要:

We present a full quantum analysis of resonant forward four-wave mixing based on electromagnetically induced transparency (EIT). In particular, we study the regime of efficient nonlinear conversion with low-intensity fields that has been predicted from a semiclassical analysis. We derive an effective nonlinear interaction Hamiltonian in the adiabatic limit. In contrast to conventional nonlinear optics this Hamiltonian does not have a power expansion in the fields and the conversion length increases with the input power. We analyze the stationary wave-mixing process in the forward scattering configuration using an exact numerical analysis for up to $10^3$ input photons and compare the results with a mean-field approach. Due to quantum effects, complete conversion from the two pump fields into the signal and idler modes is achieved only asymptotically for large coherent pump intensities or for pump fields in few-photon Fock states. The signal and idler fields are perfectly quantum correlated which has potential applications in quantum communication schemes. We also discuss the implementation of a single-photon phase gate for continuous quantum computation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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