论文标题
角度动量光学系统的哈密顿量的理论框架
A theoretical framework for the Hamiltonian of angular momentum optomechanical system
论文作者
论文摘要
光子同时携带线性动量和角动量。在光线相互作用过程中，线性动量的交换会导致光学力，而角动量的交换会导致光学扭矩。使用光学力（轻压或阻尼）在量子光学机械方面已经宽且宽，但是，光扭矩和光学角动量的光学力量却没有。在这里，我们提出了一个基于光学角动量和光学扭矩的理论框架，分别得出了腔轨道和旋转角动量光学机械系统的汉密尔顿人。此外，基于该方法，我们成功地获得了由微型腔和几个扭转振荡器组成的复杂角动量光学机制系统的哈密顿量，其反射系数是非单元的。我们的结果表明，我们的理论框架在角动力机械系统的哈密顿式框架上的一般适用性，并扩展了量子光学机械的研究范围。
Photon carries linear momentum and angular momentum simultaneously. Within the light-matter interaction process, exchange of linear momentum results in optical forces, whereas exchange of angular momentum leads to optical torques. Use of optical forces (light pressure or damping) have been long and wide in quantum optomechanics, however, those of optical torque and optical angular momentum are not. Here we propose a theoretical framework based on optical angular momentum and optical torques to derive the Hamiltonians of cavity orbital and spin angular momentum optomechanical systems, respectively. Moreover, based on the method, we successfully obtain the Hamiltonian of the complex angular momentum optomechanical systems consisting of micro-cavity and several torsional oscillators, whose reflection coefficients are non-unit. Our results indicate the general applicability of our theoretical framework for the Hamiltonian of angular momentum optomechanical systems and extend the research scope of quantum optomechanics.
