Download Cavity Optomechanics: Nano- and Micromechanical Resonators by Markus Aspelmeyer, Tobias J. Kippenberg, Florian Marquardt PDF

By Markus Aspelmeyer, Tobias J. Kippenberg, Florian Marquardt

During the previous few years cavity-optomechanics has emerged as a brand new box of analysis. This hugely interdisciplinary box reports the interplay among micro and nano mechanical platforms and lightweight. attainable functions diversity from novel high-bandwidth mechanical sensing units in the course of the iteration of squeezed optical or mechanical states to even exams of quantum idea itself. this can be one of many first books during this particularly younger box. it really is aimed toward scientists, engineers and scholars who are looking to receive a concise advent to the cutting-edge within the box of hollow space optomechanics. it's helpful to researchers in nano technological know-how, quantum optics, quantum details, gravitational wave detection and different leading edge fields. attainable functions contain organic sensing, frequency comb functions, silicon photonics and so on. The technical content material could be available to those that have familiarity with uncomplicated undergraduate physics.

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Extra info for Cavity Optomechanics: Nano- and Micromechanical Resonators Interacting with Light

Example text

We can then adiabatically eliminate the cavity degree of freedom by setting to zero the right hand side of Eq. 21) and formally solving for the operator a, ˆ 36 K. Hammerer et al. 23) where tan φ = −2Δ/κ. 24) Clearly this indicates that we need to measure a particular quadrature of the output field (for example by homodyne or heterodyne detection) and that the added noise is vacuum noise. The optimal transfer is obtained on resonance. A fast, impulsive readout of the mechanical resonator’s displacement may be made by injecting a coherent pulse into the cavity and subjecting the output pulse to a homodyne measurement [20].

8a, where E N is plotted versus Ω/ΩM at five different values of ε = τ ΩM and the other parameters similar to the ones used for Fig. 7. , the bandwidth of the detected mode is larger than ΩM , the detector does not resolve the motional sidebands, and E N has a value (roughly equal to that of the intracavity case) which does not essentially depend upon the central frequency. For smaller bandwidths (larger ε), the sidebands are resolved by the detection and the role of the central frequency becomes important.

In the presence of the photon the mirror oscillates around a new equilibrium position determined by the driving force. The maximum possible interference visibility for the photon is given by twice the modulus of the off-diagonal element of the photon’s reduced density matrix. By tracing over the mirror one finds from Eq. 32) where Im denotes the imaginary part. The first factor is the modulus, obtaining its minimum value after half a period at t = π/ΩM , when the mirror is at its maximum displacement.

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