Radiation pressure induced difference-sideband generation beyond linearized description

Abstract

We investigate radiation-pressure induced generation of the frequency components at the difference-sideband in an optomechanical system, which beyond the conventional linearized description of optomechanical interactions between cavity fields and the mechanical oscillation. We analytically calculate amplitudes of these signals, and identify a simple square-root law for both the upper and lower difference-sideband generation which can describe the dependence of the intensities of these signals on the pump power. Further calculation shows that difference-sideband generation can be greatly enhanced via achieving the matching conditions. The effect of difference-sideband generation, which may have potential application for manipulation of light, is especially suited for on-chip optomechanical devices, where nonlinear optomechanical interaction in the weak coupling regime is within current experimental reach.PACS numbers: 03.65. Ta, 42.50.Wk Resonantly enhanced feedback-backaction of optomechanical coupling [1] has attracted great interest recently and the strong interaction between cavity fields and mechanical motion has been demonstrated experimentally [2]. This emerging subject leads to many potential applications for both optics and physics, including achieving high precision measurement [3], on-chip manipulation of asymmetric light propagation [4,5], and optomechanically induced transparency [6][7][8]. Optomechanically induced transparency is an interesting analog of electromagnetically induced transparency, where the control field induces a transmission window for the probe field when the resonance condition is met [9][10][11]. Optomechanically induced transparency can be well understood through the linearization of the semiclassical evolution equations [12,13].In view of the nonlinear nature of the interaction between light and mechanical motion via radiation pressure, many interesting phenomena and applications have been revealed. A perturbative analysis of output optical spectrum in the parameter configuration of optomechanically induced transparency reveals spectral components at the second order sideband that arises from nonlinear optomechanical interactions and exhibits a prominent feature of nonlinear optomechanically induced transparency [14]. Recently, nonlinear optomechanical dynamics have emerged as an interesting frontier in cavity optomechanics [15][16][17]. In the semiclassical mechanism, sideband generation and optomechanical chaos have been studied in various contents, including coherent-mechanical pumped optomechanical systems [18], optomechanical system with second-order coupling [19], hybrid electro-optomechanical systems [20,21], and photonic molecule optomechanical system [22]. Delaying or advancing higher-order sideband signals [23] have also been revealed which may be important in optical information processing techniques.In the present work, we consider that the optomechanical system is double driven: two probe fields with different frequencies (ω 1 and ω 2 , respectively) perturb the...

Highly sensitive optical sensor for precision measurement of electrical charges based on optomechanically induced difference-sideband generation

“…This exponential decay law for differencesideband generation enables an attractive device for the measurement of electrical charges with higher precision and lower power than the conventional linearized optomechanical interaction. The effect of electrical-charge dependent differencesideband generation is especially suited for on-chip optomechanical devices, where nonlinear optomechanical interaction in the weak coupling regime is within current experimental reach.To relate to previous works, we emphasize that the present work can be seen as an extension of two previous papers [24,25]. In Ref.…”

“…To relate to previous works, we emphasize that the present work can be seen as an extension of two previous papers [24,25]. In Ref.…”

“…Following the analytical perturbation method of describing difference-sideband generation [24], we introduce the nonlinear ansatz of Eqs. (3): δa = a…”

“…Nonlinear features of optomechanical systems with multiple probe field driven have been discussed recently [23], and spectral signals at difference sideband has been demonstrated analytically which provides an effective way for light manipulation and precision measurement in a solid-state architecture [24]. In the present work, difference-sideband generation in an optomechanical system coupled to a charged object is analytically investigated and precision measurement of electrical * haoxiong1217@gmail.com charges by means of the signals at difference sideband is carefully examined.…”

“…[25] the non-perturbative behavior (the parameters are chosen in the unstable region) of the optomechanical resonator under the influence of electro-static force was studied in detail. In [24] the difference sideband generation in the presence of two probe fields was proposed and analyzed. Here we combine the analysis from these two papers and study the impact of the electrostatic force on difference sideband generation.…”