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arXiv 1608.01280quant-ph
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基于场算符变换的环形腔损耗的量子光学描述

A quantum optical description of losses in ring resonators based on field operator transformations

Paul M. Alsing, Edwin E. Hach, Christopher C. Tison, A. Matthew Smith

摘要:

在这项工作中,我们研究损失的环形谐振器网络从“运营商值相量加法”的方法(或OVPA方法),认为多个传输和交叉耦合路径的量子场穿越耦合到一个或两个外部波导总线的环形谐振器。我们证明了我们的方法的一致性,通过保存运营商的交换关系的耦合总线模式。我们比较我们的结果从传统的量子朗之万方法,除了量子海森堡方程,以保持交换关系的存在下的损失,引入噪声运营商。结果表明,这两个表达式同意在附近的腔共振的朗之万方法是适用的,而运营商值相量加法表达式,我们得到的是更普遍的,仍然有效的远离共振。

英文摘要:

In this work we examine loss in ring resonator networks from an "operator valued phasor addition" approach (or OVPA approach) which considers the multiple transmission and cross coupling paths of a quantum field traversing a ring resonator coupled to one or two external waveguide buses. We demonstrate the consistency of our approach by the preservation of the operator commutation relation of the out-coupled bus mode. We compare our results to those obtained from the conventional quantum Langevin approach which introduces noise operators in addition to the quantum Heisenberg equations in order to preserve commutation relations in the presence of loss. It is shown that the two expressions agree in the neighborhood of a cavity resonance where the Langevin approach is applicable, whereas the operator valued phasor addition expression we derive is more general, remaining valid far from resonances.

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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