Quantification of Nonclassical Correlations in a Doubly-resonant Optomechanical Cavity Coupled to a Nondegenerate Correlated Emission Laser

Abstract

The detailed analysis of results of nonclassical correlations such as squeezing, entangle ment, Gaussian quantum discord, Gaussian steering, correlations of number modes and statistical properties of quantum states of harmonically oscillating mirrors (mechanical modes) are presented. Particularly, traits of mechanical modes that can be attributed to the transfer of coherence to two separate mechanical modes via optical radiation pressure is explored in a doubly resonant optomechanical cavity, comprising pumped three-level atoms injected into cavity, a bichromatic drive laser, a beam splitter, and two separate harmonically oscillating mirrors using quantum Langevin approach. The results indi cated that the degree of squeezing, entanglement, quantum discord, steering are sensitive to the specific choices of the frequencies of a bichromatic driving laser. It also turns out that the degree of these quantum features and the mean number of mechanical modes are enhanced with increasing rates of injection of the atoms, for stronger atom-field coupling but with decreasing initial lengths of a doubly resonant cavity and for smaller atomic decay rates. Besides, the degree of nonclassical correlations increase irrespective of the atomic decay rate up to the optimum value. There also appear significant degree of squeezing, entanglement using different measures, Gaussian quantum discord, Gaussian steering and mean number of mechanical modes for higher temperature of thermal baths coupled to mechanical modes. On the other hand, the degree of nonclassical correlations under consideration other than the squeezing show a decrease for an intense squeezed vacuum reservoir coupled to two-modes of a cavity. Interestingly, the degree of entangle ment manifested in view of different criteria behave qualitatively in the same way, while the observed slight disparity between their magnitudes is attributed to the variations per taining to the difference in the correlations leading to these phenomena. Robust degree of entanglement, quantum discord and steering using the quadrature and entropy measures is established in contrary to the correlations of number of mechanical modes when a vacuum reservoir is coupled to cavity radiations. These results entail that the various atomic, cavity and reservoir parameters can be deployed to control the squeezing, entan glement, discord, steering and the mean number of mechanical modes. In conclusion, one may argue that the possibility of generating mechanical modes, various realizable and robust degree of nonclassical features combined with significant controllability, the considered system to be applicable in the current quantum technology such as metrology and continuous variable information processing and allow the quantum features of cavity radiation to be accessible for application.