腔场与微机械薄膜依赖强度耦合产生运动非线性相干态及其叠加
Generation of motional nonlinear coherent states and their superpositions via intensity-dependent coupling of a cavity field to a micromechanical membrane
摘要：
提出了一个理论方案，证明了在光学腔中无阻尼振动的微机械薄膜产生运动非线性相干态及其叠加态的可能性。该计划是基于强度依赖的耦合膜的辐射压力场。我们发现，如果腔场初始制备在Fock态，则膜的运动态可以从真空态演化到一种特殊类型的非线性相干态。通过研究膜的生成态的非经典性质，包括正交压缩和亚泊松统计，我们发现，通过改变Lamb-Dicke参数和膜的反射率，可以有效地控制这些属性。此外，该方案提供了产生各种类型的所谓的非线性多组分薛定谔催化剂的膜的可能性。我们还研究了腔场阻尼对膜运动状态的影响。
英文摘要：
We propose a theoretical scheme to show the possibility of generating motional nonlinear coherent states and their superposition for an undamped vibrating micromechanical membrane inside an optical cavity. The scheme is based on an intensity-dependent coupling of the membrane to the radiation pressure field. We show that if the cavity field is initially prepared in a Fock state, the motional state of the membrane may evolve from vacuum state to a special type of nonlinear coherent states. By examining the nonclassical properties of the generated state of the membrane, including the quadrature squeezing and the sub-Poissonian statistics, we find that by varying the Lamb-Dicke parameter and the membrane's reflectivity one can effectively control those properties. In addition, the scheme offers the possibility of generating various types of the so-called nonlinear multicomponent Schrodinger cat sates of the membrane. We also examine the effect of the damping of the cavity field on the motional state of the membrane.
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