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arXiv 1502.00615quant-ph
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量子光学力学微观模型中的光场纠缠

Mirror-Field Entanglement in a Microscopic model for Quantum Optomechanics

Kanupriya Sinha, Shih-Yuin Lin, B. L. Hu

备注：
18 pages, 5 figures
发表信息：
Phys. Rev. A 92, 023852 (2015)
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摘要：

我们使用Galley，Behunin和Hu [Phys. Rev. A 87，043832（2013）]提出的微扰振荡器场（MOF）模型来描述镜的质心（CoM）运动和场之间的量子纠缠。在传统的方法中，镜场纠缠被理解为由光场的辐射压力引起的反射镜的CoM的运动，相比之下，MOF模型结合了直接耦合到光场的反射镜的内部自由度的动态。这种方法的主要优点是它提供了三个相关子系统（镜子的CoM运动，其内部自由度和场）的自洽处理，包括它们彼此之间的反作用，从而更准确地说明各个子系统之间的量子相关性。在不对场附加任何边界条件的情况下，获得了由镜与量子场的动态相互作用所产生的镜的光学和机械性质，而不像传统方法那样对场附加任何边界条件。作为从耦合光学和力学行为的这种自洽处理中产生的新的物理特征之一，我们观察到量子关联通过其内部自由度从场到镜的相干转移。我们发现在内部自由度上粗粒化时，光场与镜面质心运动之间存在量子纠缠。此外，我们表明，在某些参数制度的镜场纠缠增强时，场相互作用与镜子的内部自由度共振，一个新的结果，突出了包括在量子光学力学研究的重要性的内部结构的镜子。

英文摘要：

We use a microscopic model, the Mirror-Oscillator-Field (MOF) model proposed by Galley, Behunin and Hu [Phys. Rev. A 87, 043832 (2013)], to describe the quantum entanglement between a mirror's center of mass (CoM) motion and a field. In contrast with the conventional approach where the mirror-field entanglement is understood as arising from the radiation pressure of an optical field inducing the motion of the mirror's CoM, the MOF model incorporates the dynamics of the internal degrees of freedom of the mirror that couple to the optical field directly. The major advantage in this approach is that it provides a self-consistent treatment of the three pertinent subsystems (the mirror's CoM motion, its internal degrees of freedom and the field) including their back-actions on each other, thereby giving a more accurate account of the quantum correlations between the individual subsystems. The optical and the mechanical properties of a mirror arising from its dynamical interaction with a quantum field are obtained without imposing any boundary conditions on the field additionally, as is done in the conventional way. As one of the new physical features that arise from this self-consistent treatment of the coupled optics and mechanics behavior we observe a coherent transfer of quantum correlations from the field to the mirror via its internal degrees of freedom. We find the quantum entanglement between the optical field and the mirror's center of mass motion upon coarse-graining over the internal degree of freedom. Further, we show that in certain parameter regimes the mirror-field entanglement is enhanced when the field interacts resonantly with the mirror's internal degree of freedom, a new result which highlights the importance of including the internal structure of the mirror in quantum optomechanical studies.

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