Quantum theory of cavity-assisted sideband cooling of mechanical motion.

By Florian Marquardt, Joe P. Chen, A. Clerk, Steven M. Girvin. Physical Review Letters, 2007

887 citations recorded by the source corpus.

We present a quantum-mechanical theory of the cooling of a cantilever coupled via radiation pressure to an illuminated optical cavity. Applying the quantum noise approach to the fluctuations of the radiation pressure force, we derive the optomechanical cooling rate and the minimum achievable phonon number. We find that reaching the quantum limit of arbitrarily small phonon numbers requires going into the good-cavity (resolved phonon sideband) regime where the cavity linewidth is much smaller than the mechanical frequency and the corresponding cavity detuning. This is in contrast to the common assumption that the mechanical frequency and the cavity detuning should be comparable to the cavity damping.

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Citations in the corpus

Slowing and stopping light using an optomechanical crystal array (2010, methodology): “For a single system, this Hamiltonian leads to efficient optical cooling of the mechanical motion [14, 15], a technique being used to cool nanomechanical systems toward their quantum ground states [16]–[19].”
Continuous mode cooling and phonon routers for phononic quantum networks (2012, background): “Before addressing the suppression of thermal noise in extended phonon waveguides, let us first briefly review with the standard scenario for OM cooling [39, 40], where the frequency ωc of an optical cavity mode is modulated by the displacement of a single mechanical mode.”
Resolved-sideband and cryogenic cooling of an optomechanical resonator (2009, background): “, ground-state cooling of an optomechanical system can in principle be achieved by radiation-pressure cooling in the resolved-sideband limit where the cavity photon lifetime far exceeds the mechanical oscillation perio”
The optomechanical instability in the quantum regime (2008, background): “The spectral density of the radiation-pressure force at positive frequency ωM (negative frequency −ωM ) yields the probability of the cavity absorbing a phonon from (emitting a phonon into) the cantilever [12].”
Optomechanics of deformable optical cavities (2009, background): “This work was the basis for a quantum theory of optomechanical self-cooling in the case of radiation pressure couplin”
Proposal for an optomechanical traveling wave phonon–photon translator (2010, background): “This effect was studied in [50, 51] in the context of quantum limits to optomechanical cooling.”
Quantum superposition, entanglement, and state teleportation of a microorganism on an electromechanical oscillator (2015, background): “In order to cool the membrane oscillation to the ground state, the system should fulfill the sideband limit ωm ≫ κ, γm, where γm is the decay rate of mechanical mode of the whole system [56, 57].”
Resolved Sideband Cooling of a Micromechanical Oscillator (2007, background): “Interestingly however, for virtually all studied systems, theoretical wor”
Toward quantum superposition of living organisms (2009, methodology): “The enhancement of g0 by a factor of √ nph has been experimentally used to achieve the strong coupling regime in recent experiments with cantilevers [14, 23, 24].”
Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the Heisenberg uncertainty limit (2009, background): “case, ground-state cooling requires accessing the resolved-sideband regim”
Ultralow dissipation optomechanical resonators on a chip (2008, background): “, such as ground-state cooling, necessitate high optical finesse and high mechanical quality factors at mechanical oscillation frequencies exceeding the optical cavity's linewidt”
Observation of quantum-measurement backaction with an ultracold atomic gas (2007, methodology): “The use of these schemes to achieve ground-state cooling has been discusse”