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

Abstract

We describe the construction of an apparatus designed to realize a hybrid quantum system comprised of a cryogenically cooled mechanical oscillator and ultra-cold ${}^{87}$Rb 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 $N=2\times 10^6$ atoms can be produced in less than 20 s and demonstrate a single photon optomechanical coupling strength of $g_0=2\pi \times 9$ kHz employing a high-stress Si${}_3$N${}_4$ membrane with a mechanical quality factor $Q_{\mathrm{m}}>10^7$ at a cavity set-up temperature of $T_{\mathrm{MiM}}=480$ mK.

arXiv comment12 pages, 12 figures; added references; modified figures

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• Enhancing nanomechanical squeezing by atomic interactions in a hybrid atom-optomechanical system
• Tuning the Order of the Nonequilibrium Quantum Phase Transition in a Hybrid Atom-Optomechanical System
• A cavity optomechanical locking scheme based on the optical spring effect
• Controlling Collective Phenomena Via the Quantum State of Interaction-Mediators: Changing the Criticality of Photon-Mediated Superconductivity Via Fock States of Light
• Stabilizing an optical cavity containing a bulk diamond crystal at millikelvin temperatures in a cryogen-free dilution refrigerator
• Nanomechanically-induced nonequilibrium quantum phase transition to a self-organized density wave of a Bose-Einstein condensate