Miao Haixing, Danilishin Stefan, Corbitt Thomas, Chen Yanbei
School of Physics, University of Western Australia, Western Australia 6009, Australia.
Phys Rev Lett. 2009 Sep 4;103(10):100402. doi: 10.1103/PhysRevLett.103.100402. Epub 2009 Sep 2.
We derive a standard quantum limit for probing mechanical energy quantization in a class of systems with mechanical modes parametrically coupled to external degrees of freedom. To resolve a single mechanical quantum, it requires a strong-coupling regime-the decay rate of external degrees of freedom is smaller than the parametric coupling rate. In the case for cavity-assisted optomechanical systems, e.g., the one proposed by Thompson et al. [Nature (London) 452, 72 (2008)], zero-point motion of the mechanical oscillator needs to be comparable to the linear dynamical range of the optical system which is characterized by the optical wavelength divided by the cavity finesse.
我们推导了一类机械模式与外部自由度参量耦合的系统中探测机械能量子化的标准量子极限。为了分辨单个机械量子，需要一个强耦合 regime——外部自由度的衰减率小于参量耦合率。例如，对于腔辅助光机械系统，如汤普森等人提出的系统[《自然》（伦敦）452, 72 (2008)]，机械振子的零点运动需要与光学系统的线性动态范围相当，该范围由光波长除以腔精细度来表征。
