Onah F E, Jaramillo-Ávila B R, Maldonado-Villamizar F H, Rodríguez-Lara B M
Tecnológico de Monterrey, Escuela de Ingeniería y Ciencias, Ave. Eugenio Garza Sada 2501, Monterrey, N.L., 64849, Mexico.
The Division of Theoretical Physics, Physics and Astronomy, University of Nigeria Nsukka, Nsukka Campus, Nsukka, Enugu State, Nigeria.
Sci Rep. 2024 Jan 10;14(1):941. doi: 10.1038/s41598-023-50775-0.
We present a Hamiltonian model describing two pairs of mechanical and optical modes under standard optomechanical interaction. The vibrational modes are mechanically isolated from each other and the optical modes couple evanescently. We recover the ranges for variables of interest, such as mechanical and optical resonant frequencies and naked coupling strengths, using a finite element model for a standard experimental realization. We show that the quantum model, under this parameter range and external optical driving, may be approximated into parametric interaction models for all involved modes. As an example, we study the effect of detuning in the optical resonant frequencies modes and optical driving resolved to mechanical sidebands and show an optical beam splitter with interaction strength dressed by the mechanical excitation number, a mechanical bidirectional coupler, and a two-mode mechanical squeezer where the optical state mediates the interaction strength between the mechanical modes.
我们提出了一个哈密顿模型，该模型描述了在标准光机械相互作用下的两对机械模式和光学模式。振动模式彼此机械隔离，光学模式通过倏逝波耦合。我们使用有限元模型对标准实验实现进行建模，从而得到了感兴趣的变量范围，如机械和光学共振频率以及裸耦合强度。我们表明，在该参数范围和外部光驱动下，量子模型对于所有涉及的模式可近似为参数相互作用模型。作为一个例子，我们研究了光学共振频率模式中的失谐效应以及光学驱动分解到机械边带的情况，并展示了一个相互作用强度由机械激发数修饰的光束分离器、一个机械双向耦合器以及一个双模机械压缩器，其中光学状态介导了机械模式之间的相互作用强度。
