二次耦合腔光力系统中量子非线性特性的研究

项目名称： 二次耦合腔光力系统中量子非线性特性的研究

项目编号： No.11504031

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 数理科学和化学

项目作者： 谷文举

作者单位： 长江大学

项目金额： 20万元

中文摘要： 随着微制造工艺和实验技术的发展，腔光力系统在高精度测量、量子信息处理以及探测宏观物体的量子行为等方面有重要的应用前景。目前大部分理论和实验研究对象主要是线性耦合腔光力系统，针对二次耦合腔光力系统的研究并不是很深入。二次耦合腔光力系统的腔模与机械振子运动位移的平方项耦合，其非线性耦合形式对机械振子的冷却以及振子与腔场的非经典性质等方面有重要的影响。我们拟对二次耦合腔光力系统从以下三方面开展研究：（1）单光子二次耦合腔光力系统中机械振子冷却过程以及振子非经典统计性质分析；（2）采用双色激光场驱动二次耦合腔光力系统制备机械振子的振幅平方压缩态以及非高斯纠缠态；（3）二次超强耦合腔光力系统中光子、声子的高阶关联非经典特性分析，研究体系制备非经典量子光源的方案。我们的课题能够丰富腔光力系统家族的研究，揭示出二次与线性耦合相互作用在机械振子冷却以及非经典性质等方面的差异与优势。

中文关键词： 二次耦合腔光力系统；机械振子冷却；非高斯态机械振子；高阶关联

英文摘要： With the advancement of microfabrication and experimental technologies,cavity optomechanical system posesses significant applications in ultra-accuracy measurement,quantum information processing, and probe of quantum behavoir of macroscopic system,etc.Recently,theoretical and experimental studies are mainly focused on the treatment of linear coupling optomechanical system,and the quadratic optomechanical system is far from being fully understood,in which optomechanical coupling is propotional to the square of mechanical displacement. The quadratic coupling can have appreciable effects on the mechanical cooling and the generation of non-calssical states in mechanical and cavity modes. We intend to perform our research from three aspects: (1) study of the cooling processes and the nonclassical properties of mechanical oscillator in the single-photon quadratic optomechanical system;(2) generation of higher-order squeezed and non-Gaussian entangled mechanical states in quadratic optomechanical system via driving the optical mode by two coherent lasers;(3) study of the non-classical quantum statistical properties of photons and phonons, especially the higher-order correlations in the ultrastrong quadratic coupling optomechanical system,and schemes for the non-classical quantum optical source. Our research can enrich the study of optomechanical family, and show the difference and advantages of quadratic optomechanical system on mechanical cooling and the generation of non-classical prepoties compared with the linear optomechanical system.

英文关键词： quadratic cavity optomechanics;mechanical cooling;non-Gaussian mechanical oscillator; higher-order correlations