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arXiv 1204.4604quant-phcond-mat.mes-hall
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具有任意曲率的光力学主方程方法

Master equation approach to optomechanics with arbitrary dielectrics

Anika C. Pflanzer, Oriol Romero-Isart, J. Ignacio Cirac

摘要:

我们提出了一个主方程描述的相互作用的光与电介质物体的任意大小和形状。考虑了物体的量子运动,光的量子性质,以及微扰理论中所有阶次的散射过程。这种形式主义扩展了标准的主方程方法的情况下,考虑不同模式的环境之间的相互作用。它产生了一个真正的量子描述,包括耦合和退相干项的重整化。我们应用这种方法来分析空腔冷却的质心模式的大球体。此外,我们推导出一个表达式的稳态声子数不依赖于分解边带或坏腔近似。

英文摘要:

We present a master equation describing the interaction of light with dielectric objects of arbitrary sizes and shapes. The quantum motion of the object, the quantum nature of light, as well as scattering processes to all orders in perturbation theory are taken into account. This formalism extends the standard master equation approach to the case where interactions among different modes of the environment are considered. It yields a genuine quantum description, including a renormalization of the couplings and decoherence terms. We apply this approach to analyze cavity cooling of the center-of-mass mode of large spheres. Furthermore, we derive an expression for the steady-state phonon numbers without relying on resolved-sideband or bad-cavity approximations.

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