Phase-dependent double optomechanically induced transparency in a hybrid optomechanical cavity system with coherently mechanical driving*

Abstract

We propose a scheme that can generate a tunable double optomechanically induced transparency (OMIT) in a hybrid optomechanical cavity system, in which the mechanical resonator of an optomechanical cavity is coupled to an additional mechanical resonator, and the additional mechanical resonator can be driven by a weak external coherently mechanical driving field. We show that both the intensity and the phase of the external mechanical driving field can control the propagation of the probe field, including changing the transmission spectrum curve from a double-window to a single-window. Our study also provides an effective way to produce an intensity-controllable narrow-bandwidth transmission spectra, with the probe field modulated from excessive opacity to remarkable amplification. IntroductionEngineering and manipulating the interaction between the optical and mechanical modes is an active research area, it has been studied theoretically and experimentally in many systems [1][2][3][4][5][6][7][8][9][10][11], in which a representative one of them is the optomechanical systems [6][7][8][9][10][11]. A traditional optomechanical system is composed of an optical cavity and a mechanical resonator. With the development of the micro-and nano-fabrication techniques, it is practicable to integrate the traditional optomechanical system with other systems, including the additional mechanical resonators [12,13], superconducting microwave cavities [14], phononic [15] or photonic crystal cavities [4], piezoelectric systems [16] and charged systems [17]. Compared with the traditional optomechanical system, the photon-phonon interaction in those hybrid optomechanical systems can be controlled by not only the optical radiation pressure, but also the piezoelectric forces [4,5], Lorentz forces [18,19] or Coulombic forces [13,20].The interaction between the optical and mechanical modes can generate many interesting phenomena in the optomechanical systems, such as the optomechanical induced transparency (OMIT). OMIT is a phenomenon that a photon-cavity can be changed from opacity to transparency, it arises from the quantum interference effect between different energy levels [5,8,[21][22][23][24][25]. Similar to the electromagnetically induced transparency (EIT), which was observed in the three-level atomic systems [26][27][28][29], OMIT also can be been applied in many fields, including quantum ground-state cooling [30,31], fast and slow light [32,33], and quantum information processing [34,35].Compared with a traditional optomechanical system, in the hybrid optomechanical systems, the single-OMIT has been extended to the double-OMIT [10,13,36,37,37,[37][38][39][40]. Different from the single-window transmission spectrum observed in the OMIT, the double-window transmission spectrum can be observed in the double-OMIT. This phenomenon is similar to the two-photon absorption, which is observed in the four-level energy-structure atomic systems [41,42]. In the double-OMIT hybrid optomechanical systems, which is combined of a traditional opt...

Selective and switchable optical amplification with mechanical driven oscillators

“…Note added. After completing this work, we became aware of a preprint also on OMIT utilizing an acoustic dimer, but with only a fixed mechanical pump [96]. Considering photon damping and the Brownian noise from the cavity and the environment, the EOM are given byċ…”

Ground-state cooling based on a three-cavity optomechanical system in the unresolved-sideband regime*

“…The c 1 is simultaneously driven by a single-frequency continuous-wave classical input field, which is called the pump laser field. Firstly, by setting h = 1, the total Hamiltonian of this hybrid system in the presence of a pump laser field can be written as an added mechanical resonator free term and optomechanical interaction on the basis of ordinary cavity Hamiltonian, i.e., [32][33][34][35][36]…”

Induced Transparency with Optical Cavities

“…As for studies on transparency lineshapes, exotic spectral responses such as double/multiple OMIT and inverse OMIT have been manifested in different COM systems. [168][169][170][171][172][173][174][175][176][177][178][179][180] For example, Ma et al first proposed the tunable double OMIT via controlling the Coulomb interaction strength of two movable mirrors in a Fabry-Perot cavity, [169] and the system setup is shown in Figure 11d. Figure 11e shows the splitting evolution from single transparency window to double transparency windows by incorporating Coulomb coupling.…”

“…Multiple OMIT is presented in an optical cavity coupled with two mechanical resonators, [181] and asymmetric Fano lineshapes are demonstrated. [181][182][183][184][185] Tunability of OMIT is achievable through the gain rate, [186] gain-loss ratio, [180,187] coupling strength, [180,187,188] pump power, [180,187,189] Coulomb coupling strength, [169,179,190] phase difference, [175,176,182,191] polarization, [192] etc.…”