量子光学力学中的高阶相互作用：重温理论基础
Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
摘要：
量子光学力学的理论是从第一原理中重建的，通过从光的运动方程中找到拉格朗日量，然后继续到哈密顿量。非线性项，包括二次和高阶相互作用，在任何可能的正则参数选择下都不会消失，并导致动量和场的耦合。二次力学参数相互作用的存在，然后严格证明，这是迄今为止，在以前的研究中假设唯象。当机械频率与电磁频率相同或大于电磁频率时，对二次项的校正特别重要。进一步讨论了压缩效应和相对论修正。
英文摘要：
The theory of quantum optomechanics is reconstructed from first principles by finding a Lagrangian from light's equation of motion and then proceeding to the Hamiltonian. The nonlinear terms, including the quadratic and higher-order interactions, do not vanish under any possible choice of canonical parameters, and lead to coupling of momentum and field. The existence of quadratic mechanical parametric interaction is then demonstrated rigorously, which has been so far assumed phenomenologically in previous studies. Corrections to the quadratic terms are particularly significant when the mechanical frequency is of the same order or larger than the electromagnetic frequency. Further discussions on the squeezing as well as relativistic corrections are presented.
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