论文标题
混合系统的近似演变：光学机械杰伊斯 - 卡明模型
Approximate evolution for a hybrid system: An optomechanical Jaynes-Cummings model
论文作者
论文摘要
在这项工作中，我们从由两个已知系统建造的现象学哈密顿量开始：泵送光学系统的哈密顿量和Jaynes Cummings Hamiltonian。使用代数技术，我们为强制的光力学系统（作为指数的产物）构建了一个大约时间演变运算符$ \ hat u_ {opt} $，并以JC Hamiltonian作为交互。我们以$ \ hat u_ {opt} $转换，以获取一般的交互图片汉密尔顿，该图片可以线性化，并且其时间演变运算符以产品形式编写。将分析结果与使用完整的哈密顿量的纯数值计算进行了比较，而它们之间的一致性是显着的。
In this work we start from a phenomenological Hamiltonian built from two known systems: the Hamiltonian of a pumped optomechanical system and the Jaynes Cummings Hamiltonian. Using algebraic techniques we construct an approximate time evolution operator $\hat U_{opt}$ for the forced optomechanical system (as a product of exponentials) and take the JC Hamiltonian as an interaction. We transform the later with $\hat U_{opt}$ to obtain a generalized interaction picture Hamiltonian which can be linearized and whose time evolution operator is written in a product form. The analytic results are compared with purely numerical calculations using the full Hamiltonian and the agreement between them is remarkable.
