Abstract
An optomechanical force sensor for a mechanical oscillator in a non-Markovian environment is presented. By performing homodyne detection, we obtain a general expression for the output signal. It is shown that the weak force detection is sensitive to the non-Markovian environment. The additional noise can be reduced and the mechanical sensitivity can be obviously amplified compared to the Markovian condition even in resolved sideband regimes without using assistant systems or squeezing. Our results provide a promising platform for improving the sensitivity of weak-force ultrasensitive detection.
Highlights
Optomechaical systems provide us a platform for high precision measurements including ultra-sensitive force detection [1], small quantities of adsorbed mass detection [2] and low-reflectivity object detection [3]
We investigate the weak force detection of optomechanical system in non-Markovian regime
We have shown that: (i) The thermal noise for weak force detection can be ignored even under non-Markovian environment, while the susceptibility is efficiently amplified in the effective frequency region ωeff . (ii) The additional noise can be significantly reduced in super-Ohmic spectrum
Summary
Optomechaical systems provide us a platform for high precision measurements including ultra-sensitive force detection [1], small quantities of adsorbed mass detection [2] and low-reflectivity object detection [3]. As we have mentioned in last section, the sensibility of the mechanical oscillator for the weak force ultrasensitive detection in optomechanical system is determined by the quantity χm(ω) and has been widely discussed in Markovian regime [36,37]. In order to improve the precision of the weak force detection, we should reduce the effect result from the thermal noise of the bath of the oscillator. For Born-Markov approximation where the system-reservoir coupling rate is weak and the interaction time is short enough, the environment can be described as a flat spectrum and the integral for ω is a delta function of time; the environment present no memory effect for the system, i.e. Sξξ = γmnth(ωm), where γm is the dumping rate of the mechanical oscillator, nth(ωm) describes the equivalent thermal occupation which is independent of the environment frequency.
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