Abstract
In this paper, we study cavity optomechanical systems in which the position of a mechanical oscillator modulates both the resonance frequency (dispersive coupling) and the linewidth (dissipative coupling) of a cavity mode. Using a quantum noise approach, we calculate the optical damping and the optically induced frequency shift. We find that dissipatively coupled systems feature two parameter regions providing amplification and two parameter regions providing cooling. To investigate the strong-coupling regime, we solve the linearized equations of motion exactly and calculate the mechanical and optical spectra. In addition to signatures of normal-mode splitting that are similar to the case of purely dispersive coupling, the spectra contain a striking feature that we trace back to the Fano line shape of the force spectrum. Finally, we show that purely dissipative coupling can lead to optomechanically induced transparency which will provide an experimentally convenient way of observing normal-mode splitting.
Highlights
Cavity optomechanical systems have a wide range of possible applications in precision measurement, quantum information, and fundamental tests of quantum mechanics [1,2,3,4,5]
In this paper we study the general case of a cavity optomechanical system with both dispersive and dissipative coupling
We have presented a detailed study of optomechanical systems featuring both dissipative and dispersive coupling
Summary
Cavity optomechanical systems have a wide range of possible applications in precision measurement, quantum information, and fundamental tests of quantum mechanics [1,2,3,4,5]. In most optomechanical setups the coupling between the optical and mechanical degrees of freedom arises due to a displacement-dependent cavity frequency (dispersive coupling). Driving such systems at a frequency that is red-detuned from the cavity resonance can lead to cooling. In Eq (5) dissipative coupling Bleads to a change in the damping rate κ, whereas dispersive coupling Aleads to a change in the detuning ∆ These shifts can be determined from the steady-state solutions of the classical equations of motion. In the case of purely dispersive coupling the interaction of the optical bath and drive with the mechanical oscillator is mediated by the cavity. This will lead to several new features in dissipatively coupled systems
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