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arXiv · 1304.6130

Quantum mechanical study of a generic quadratically coupled optomechanical system

H. Shi·M. Bhattacharya
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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.

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H. Shi, M. Bhattacharya. 2013-04-22. Quantum mechanical study of a generic quadratically coupled optomechanical system. https://doi.org/10.1103/physreva.87.043829

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