A millikelvin all-fiber cavity optomechanical apparatus for merging with ultra-cold atoms in a hybrid quantum system

We describe the construction of an apparatus designed to realize a hybrid quantum system comprised of a cryogenically cooled mechanical oscillator and ultra-cold 87Rb atoms coupled via light. The outstanding feature of our instrument is an in situ adjustable asymmetric all-fiber membrane-in-the-middle cavity located inside an ultra-high vacuum dilution refrigerator based cryostat. We show that Bose-Einstein condensates of N = 2 × 10 6 atoms can be produced in less than 20 s and demonstrate a single photon optomechanical coupling strength of g 0 = 2 π × 9 kHz employing a high-stress Si3N4 membrane with a mechanical quality factor Q m > 10 7 at a cavity setup temperature of TMiM = 480 mK.