物理学报2016，Vol.65Issue(12)：124202-1-124202-7,7.DOI:10.7498/aps.65.124202
三机械薄膜腔光力系统相互作用的研究∗
Optomechanical interaction with triple membranes
摘要
Abstract
Cavity optomechanics becomes a promising field in quantum and nano technologies. Motivated by the op-tomechancial experiment with the membrane located in a high-finesse optical cavity and theoretical treatment on two membranes cavity optomechanics, we here study the optomechanical interaction of the system consisting of triple mem-branes within an optical cavity. The increase of membranes will increase the normal modes of the cavity and mechanical fields, and thus enrich the forms of optomechanical interaction. Firstly, we use the transfer matrix and resonance trans-mission methods to obtain the dispersion relation between the eigen-frequencies of the optical modes and the mechanical motions. Owing to the existence of triple mechanical membranes, the system possesses different forms of collective mechanical motion, and here we focus on the center-of-mass (COM) motion and relative motion of the equally placed membranes. The numerical solutions of the dispersion relation show that the optical eigenmodes are comprised of a group of closely spaced avoided-crossing quaternion of wave numbers, which arise from the transmission and reflection of the optical field at the membranes and the tunneling couplings between subcavity modes. Moreover, the change of each eigen wave number along each form of the mechanical motion is different, which implies the different forms of optomechanical coupling between eigenmodes and mechanical motions. Then, to achieve the explicit expressions of the optomechanical coupling, it is sufficient to use the perturbation method under the equilibrium condition of the system, where the amplitude of mechanical motion is much smaller than the optical wavelength. With using the implicit function differentiation theorem, the optomechanical coupling strengths between the four optical modes and the COM and relative mechanical motions are obtained respectively. We find that the strong quadratic optomechanical coupling between the optical modes and COM motion can be achieved, and the linear and quadratic couplings between the optical modes and relative motion can both be realized. By tuning the laser to pump different optical modes, we can choose either the linear or the quadratic coupling to the relative motion. Our method is universal to multi-membrane system, and the results may provide some references to theoretical and experimental investigations on the multi-membrane cavity optomechanics.关键词
薄膜腔光力系统/集合振动模式/色散关系/光力耦合强度Key words
multi-membrane cavity optomechanics/collective mechanical motion/dispersion relation/optomechanical coupling strength引用本文复制引用
肖佳,徐大海,伊珍,谷文举..三机械薄膜腔光力系统相互作用的研究∗[J].物理学报,2016,65(12):124202-1-124202-7,7.基金项目
国家自然科学基金(批准号:11504031,61505014)和长江大学长江青年科技创新团队基金(批准号:2015cqt03)资助的课题.@@@@* Project supported by the National Natural Science Foundation of China (Grant Nos.11504031,61505014) and the Yangtze Fund for Youth Teams of Science and Technology Innovation, China (Grant No.2015cqt03) （批准号:11504031,61505014）
