Quantum mechanical study of a generic quadratically coupled optomechanical system
arXiv:1304.6130 · doi:10.1103/PhysRevA.87.043829
Abstract
Typical optomechanical systems involving optical cavities and mechanical oscillators rely on a coupling that varies linearly with the oscillator displacement. However, recently a coupling varying instead as the square of the mechanical displacement has been realized, presenting new possibilities for non-demolition measurements and mechanical squeezing. In this article we present a quantum mechanical study of a generic quadratic-coupling optomechanical Hamiltonian. First, neglecting dissipation, we provide analytical results for the dressed states, spectrum, phonon statistics and entanglement. Subsequently, accounting for dissipation, we supply a numerical treatment using a master equation approach. We expect our results to be of use to optomechanical spectroscopy, state transfer, wavefunction engineering, and entanglement generation.
9 pages, 8 figures
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- On the limitations of a measurement-assisted optomechanical route to quantum macroscopicity of superposition states
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- Temporal evolution of a forced optomechanical system with linear and quadratic field -- mechanical oscillator couplings