Quantum noise reduction using a cavity with a Bose Einstein condensate

Abstract

We study an optomechanical system in which the collective density excitations (Bogoliubov modes) of a Bose Einstein condensate (BEC) is coupled to a cavity field. We show that the optical force changes the frequency and the damping constant of the collective density excitations of the BEC. We further analyze the occurrence of normal mode splitting (NMS) due to mixing of the fluctuations of the cavity field and the fluctuations of the condensate with finite atomic two-body interaction. The NMS is found to vanish for small values of the two-body interaction. We further show that the density excitations of the condensate can be used to squeeze the output quantum fluctuations of the light beam. This system may serve as an optomechanical control of quantum fluctuations using a Bose Einstein condensate.

8 figures

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• Achieving the Quantum Ground State of a Mechanical Oscillator using a Bose-Einstein Condensate with Back-Action and Cold Damping feedback schemes
• Strong quadrature squeezing and quantum amplification in a coupled Bose-Einstein condensate- optomechanical cavity via coherent modulation
• Multimode mean-field model for the quantum phase transition of a Bose-Einstein condensate in an optical resonator
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• Enhancing squeezing and nonclassicality of light in atom-optomechanical systems
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• Entangling two Bose Einstein condensates in a double cavity system
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• Dicke-Hepp-Lieb Superradiant Phase Transition and Independent Modes Model in Quantum Optomechanics