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We present a detailed study to show the possibility of approaching thequantum ground-state of a hybrid optomechanical quantum device formed by aBose-Einstein condensate (BEC) confined inside a high-finesse optical cavitywith an oscillatory end mirror. Cooling is achieved using two experimentallyrealizable schemes: back-action cooling and cold damping quantum feedbackcooling. In both the schemes, we found that increasing the two body atom-atominteraction brings the mechanical oscillator to its quantum ground state. Ithas been observed that back-action cooling is more effective in the good cavitylimit while the cold damping cooling scheme is more relevant in the bad cavitylimit. It is also shown that in the cold damping scheme, the device is moreefficient in the presence of BEC than in the absence of BEC.

Achieving the Quantum Ground State of a Mechanical Oscillator using a Bose-Einstein Condensate with Back-Action and Cold Damping feedback schemes