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Classical Pendulum Feels Quantum Back-Action pp 13–35Cite as

Theory of Optomechanics

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Abstract

In this chapter, we describe the basic aspects of optical cavities, mechanical resonators, and cavity optomechanical systems, e.g. optical response of the cavity, mechanical dissipation (thermal decoherence), dilution technique, the (double) optical spring, quantum back-action, phase-induce back-action noise, and Raman decoherence. Especially, the dilution technique due to the gravitational and optical potential is explained in detail, because it is one of the most important technical features in our experiment. This chapter also presents the basic concepts and mathematical tools for understanding later chapters.

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Notes

  1. 1.

    optomechanical single-photon coupling strength \(g_0\) (e.g. in Ref. [8, 20]), which gives \(\hat{\mathscr {H}}=\hbar g_0 \hat{a}^\dagger \hat{a}(\hat{b}+\hat{b}^\dagger )\)), is \(x_\mathrm{zpf}\)-times lager than g.

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Authors and Affiliations

  1. Department of Physics, The University of Tokyo, Tokyo, Japan

    Nobuyuki Matsumoto

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  1. Nobuyuki Matsumoto
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Correspondence to Nobuyuki Matsumoto .

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Matsumoto, N. (2016). Theory of Optomechanics. In: Classical Pendulum Feels Quantum Back-Action. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55882-8_2

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