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We theoretically study cooling of flexural modes of a mechanical oscillatorby Bose-Einstein Condensate (BEC) atoms (Rb87) trapped in a magnetic trap. Themechanical oscillator with a tiny magnet attached on one of its free endsproduces an oscillating magnetic field. When its oscillating frequency matchescertain hyperfine Zeeman energy of Rb87 atoms, the trapped BEC atoms arecoupled out of the magnetic trap by the mechanical oscillator, flying away fromthe trap with stolen energy from the mechanical oscillator. Thus the modetemperature of the mechanical oscillator is reduced. The mode temperature ofthe steady state of a mechanical oscillator, measured by the mean steady-statephonon number in the flexural mode of the mechanical oscillator, is analyzed.It is found that ground state (phonon number less than 1) may be accessiblewith optimal parameters of the hybrid system of a mechanical oscillator andtrapped BEC atoms.

Cooling Flexural Modes of a Mechanical Oscillator by Magnetic Trapped Bose-Einstein Condensate Atoms