Quantum measurement backaction from a BEC coupled to a mechanical oscillator

Abstract

We study theoretically the dynamics of a a hybrid optomechanical system consisting of a macroscopic mechanical membrane magnetically coupled to a spinor Bose-Einstein condensate via a nanomagnet attached at the membrane center. We demonstrate that this coupling permits us to monitor indirectly the center-of-mass position of the membrane via measurements of the spin of the condensed atoms. These measurements normally induce a significant backaction on the membrane motion, which we quantify for the cases of thermal and coherent initial states of the membrane. We discuss the possibility of measuring that quantum backaction via repeated measurements. We also investigate the potential to generate non-classical states of the membrane, in particular Schrodinger cat states, via such repeated measurements.

14 pages, 4 figures. Submitted to PRA

References in corpus (6)

• Measurement of the Temperature Dependence of the Casimir-Polder Force
• Emergence of atom-light-mirror entanglement inside an optical cavity
• High-Resolution Magnetometry with a Spinor Bose-Einstein Condensate
• High quality mechanical and optical properties of commercial silicon nitride membranes
• Bose-Einstein condensate coupled to a nanomechanical resonator on an atom chip
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• Measuring mechanical motion with a single spin
• Interacting classical and quantum particles
• Parametric amplification of the mechanical vibrations of a suspended nanowire by magnetic coupling to a Bose-Einstein condensate
• Non-classicality tests and entanglement witnesses for macroscopic mechanical superposition states
• Probing mechanical quantum coherence with an ultracold-atom probe
• Magnetic-field-mediated coupling and control in hybrid atomic-nanomechanical systems
• Measuring nonclasicality of single-mode systems
• Cooling Flexural Modes of a Mechanical Oscillator by Magnetic Trapped Bose-Einstein Condensate Atoms
• Cold Atoms in Driven Optical Lattices