Abstract
We investigate a hybrid system consisting of an optomechanical resonator and an optical cavity containing a quantum well. The system is coupled to a squeezed vacuum reservoir. We analyze the effect of the injection of squeezed photons inside the cavity on the intensity spectrum. The system reaches a regime of hybrid resonance where mechanical, excitonic and cavity modes are intermixed. Despite that the optomechanical interaction is the source of the nonlinearity in the system, the optimum squeezing is obtained at the hybrid resonance frequencies. However, when the squeezed vacuum is applied, at these frequencies the minimum squeezing is realized as well as an increase of fluctuations is observed. We show that the squeezed vacuum transforms the coherent states into highly squeezed states of light, and offers a great flexibility to obtain maximal squeezing. Furthermore, a perfect squeezing is predicted.
Highlights
We investigate a hybrid system consisting of an optomechanical resonator and an optical cavity containing a quantum well
Considerable efforts have been dedicated to optomechanical systems. These investigations explore the nonlinear interaction between an optical cavity and a mechanical oscillator through a radiation pressure force[1–6]
We explore the correlations of photons and the quantum statistics of an optomechanical cavity containing a quantum well and coupled to a squeezed vacuum reservoir
Summary
We consider a mechanical resonator with moveable Bragg reflectors and a quantum well embedded in a singlemode cavity as shown in the schematic representation of Fig. 1. The mechanical resonator undergoes a force related to the mean number of photons inside the cavity. It is obtained when the detection bandwidth includes only one single mechanical resonance and a negligible mode-mode coupling[50] This is justified by the adiabatic limit in which the frequency of the moveable mirror is much smaller than the free spectral range of the cavity[49]. A strong coupling can take place by considering the interaction between an excitonic mode and a photonic mode only. Where a† (a), b† (b) and c† (c) represent the creation (annihilation) operators of cavity, excitonic and mechanical modes, respectively. The evolution of the mean fields can be derived from the set (2)-(4), the steady-state solutions for mechanical and excitonic modes are written as:.
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