论文标题
两个耦合KERR振荡器模型中的对称性导致同时进行多光子过渡
The symmetry in the model of two coupled Kerr oscillators leads to simultaneous multi-photon transitions
论文作者
论文摘要
我们考虑了两个在旋转波近似中具有KERR非线性的耦合振荡器的模型。我们证明，对于模型的某些参数，多光子跃迁同时出现在许多振荡器状态之间。同样，多光子共振的位置不取决于两个振荡器之间的耦合强度。我们严格地证明，这是该模型扰动理论系列的某些对称性的结果。此外，我们通过考虑伪角动量的动力学来分析准经典限制的模型。我们通过Bloch球体上退化的经典轨迹之间的隧道转变确定了多光子转变。
We consider the model of two coupled oscillators with Kerr nonlinearities in the rotating-wave approximation. We demonstrate that for a certain set of parameters of the model, the multi-photon transitions occur between many pairs of the oscillator states simultaneously. Also, the position of the multi-photon resonances does not depend on the coupling strength between two oscillators. We prove rigorously that this is a consequence of a certain symmetry of the perturbation theory series for the model. In addition, we analyse the model in the quasi-classical limit by considering the dynamics of the pseudo-angular momentum. We identify the multi-photon transitions with the tunnelling transitions between the degenerate classical trajectories on the Bloch sphere.
