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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 couple of years cavity-optomechanics has emerged as a brand new box of study. This hugely interdisciplinary box reports the interplay among micro and nano mechanical platforms and light-weight. attainable functions variety from novel high-bandwidth mechanical sensing units throughout the iteration of squeezed optical or mechanical states to even checks of quantum concept itself. this is often one of many first books during this fairly younger box. it truly is aimed toward scientists, engineers and scholars who are looking to receive a concise advent to the state-of-the-art within the box of hollow space optomechanics. it really is beneficial to researchers in nano technological know-how, quantum optics, quantum info, gravitational wave detection and different leading edge fields. attainable purposes comprise organic sensing, frequency comb purposes, silicon photonics and so on. The technical content material can be obtainable to those that have familiarity with simple undergraduate physics.

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

Example text

Sopt (ω) is below the shot-noise limit whenever S XoutY (ω) ∞ = 0 (see Eqs. 9)), and one gets significant squeezing at low frequencies, well below the mechanical resonance, where the optomechanical cavity becomes fully equivalent to a Kerr medium, as witnessed also by the fact that φopt (ω) is constant in this frequency band. This equivalence is lost close to and above the mechanical resonance, where squeezing vanishes because Re {χ M (ω)} ∼ S XoutY (ω) ∼ 0, and the optimal phase shows a large variation.

If we wish to measure the energy of a mechanical resonator we must find an interaction Hamiltonian that is at least quadratic in the mechanical amplitude. A number of schemes have been proposed, including trapped atoms in a standing wave [26] and a nanomechanical resonator coupled to a Cooper pair box qubit in the dispersive regime [27]. In opto-mechanics a dielectric membrane placed at the antinode of a cavity standing wave shifts the cavity frequency proportional to the square of the mechanical displacement of the membrane from equilibrium [23].

In our discussion these will be primarily entangled states, which are generated either in steady state under a continuous drive field, or in a regime involving short pulses of light. 1 Light Mirror Entanglement in Steady State Entanglement of a mechanical oscillator with light has been predicted in a number of theoretical studies [8, 70–78] and would be an intriguing demonstration of optomechanics in the quantum regime. These studies, as well as similar ones investigating entanglement among several mechanical oscillators [79–87], explore entanglement in the steady-state regime.

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