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arXiv quant-ph/0306186quant-ph
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电磁感应透明全量子化模型中的磁化率和群速度

Susceptibility and Group Velocity in a Fully Quantized Model For Electromagnetically Induced Transparency

Xiong-Jun Liu, Mo-lin Ge

摘要:

我们已经开发了一个完全量子化的EIT模型,其中的衰减率被考虑在内。在该模型中,我们得到的探测激光的极化率和群速度的一般形式是算符。它们的期望值和涨落可以在Fock空间上得到。进而近似地给出了在控制激光强度很弱时群速度的不确定性以及耦合激光相位算符与群速度之间的不确定性关系。考虑到各能级的衰减率,我们可以对探测激光在共振附近进行详细的分析,计算吸收和色散的涨落。我们还讨论了当耦合激光的平均光子数变大时,完全量子化模型如何退化为半经典模型。

英文摘要:

We have developed a fully quantized model for EIT in which the decay rates are taken into account. In this model, the general form of the susceptibility and group velocity of the probe laser we obtained are operators. Their expectation value and fluctuation can be obtained on the Fock space. Furthermore the uncertainty of the group velocity under very weak intensity of the controlling laser and the uncertainty relation between the phase operator of coupling laser and the group velocity are approximately given. Considering the decay rates of various levels, we may analyze the probe laser near resonance in detail and calculate the fluctuation in both absorption and dispersion. We also discuss how the fully quantized model reduces to a semiclassical model when the mean photon numbers of the coupling laser is getting large.

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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