Parametric self pulsing in a quantum opto‐mechanical system

Holmes, C. A.; Milburn, G. J.

doi:10.1002/prop.200900074

Cited by 14 publications

(11 citation statements)

References 18 publications

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“…Finally, since our scheme is based only on interacting bosonic fields, its applications are not restricted to optical systems. It could also be implemented in optomechanical, electromechanical and superconducting systems where extremely strong intrinsic nonlinearities involving vibrational [39][40][41] or matter-based [42,43] degrees of freedom are more readily available. two degenerate and indistinguishable photons can be deterministically separated into different modes via a "reverse Hong-Ou-Mandel"-type interaction at a beam splitter (|2, 0 + |0, 2 → |1, 1 ).…”

Section: Discussionmentioning

confidence: 99%

Efficient quantum computing using coherent photon conversion

Langford

Ramelow

Prevedel

et al. 2011

Nature

152

144

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Single photons are excellent quantum information carriers: they were used in the earliest demonstrations of entanglement and in the production of the highest-quality entanglement reported so far. However, current schemes for preparing, processing and measuring them are inefficient. For example, down-conversion provides heralded, but randomly timed, single photons, and linear optics gates are inherently probabilistic. Here we introduce a deterministic process--coherent photon conversion (CPC)--that provides a new way to generate and process complex, multiquanta states for photonic quantum information applications. The technique uses classically pumped nonlinearities to induce coherent oscillations between orthogonal states of multiple quantum excitations. One example of CPC, based on a pumped four-wave-mixing interaction, is shown to yield a single, versatile process that provides a full set of photonic quantum processing tools. This set satisfies the DiVincenzo criteria for a scalable quantum computing architecture, including deterministic multiqubit entanglement gates (based on a novel form of photon-photon interaction), high-quality heralded single- and multiphoton states free from higher-order imperfections, and robust, high-efficiency detection. It can also be used to produce heralded multiphoton entanglement, create optically switchable quantum circuits and implement an improved form of down-conversion with reduced higher-order effects. Such tools are valuable building blocks for many quantum-enabled technologies. Finally, using photonic crystal fibres we experimentally demonstrate quantum correlations arising from a four-colour nonlinear process suitable for CPC and use these measurements to study the feasibility of reaching the deterministic regime with current technology. Our scheme, which is based on interacting bosonic fields, is not restricted to optical systems but could also be implemented in optomechanical, electromechanical and superconducting systems with extremely strong intrinsic nonlinearities. Furthermore, exploiting higher-order nonlinearities with multiple pump fields yields a mechanism for multiparty mediation of the complex, coherent dynamics.

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Section: Discussionmentioning

confidence: 99%

Efficient quantum computing using coherent photon conversion

Langford

Ramelow

Prevedel

et al. 2011

Nature

152

144

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“…3. We do this calculation for the case of a single group of nano-mechanical resonators following the procedure of [29]. For a single group, using the dimensionless notation where we have re-scaled the coupling coefficients and time by the cavity dissipation rate κ, we have the stochastic differential equations of motion corresponding to the Fokker-Planck like equation (55)…”

Section: Quantum Spectramentioning

confidence: 99%

Synchronization of many nanomechanical resonators coupled via a common cavity field

2012

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Using amplitude equations, we show that groups of identical nano-mechanical resonators, interacting with a common mode of a cavity microwave field, synchronize to form a single mechanical mode which couples to the cavity with a strength dependent on the square sum of the individual mechanical-microwave couplings. Classically this system is dominated by periodic behaviour which, when analyzed using amplitude equations, can be shown to exhibit multi-stability. In contrast groups of sufficiently dissimilar nano-mechanical oscillators may lose synchronization and oscillate out of phase at significantly higher amplitudes. Further the method by which synchronization is lost resembles that for large amplitude forcing which is not of the Kuramoto form.

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“…For a single oscillator, this conversion is completely eliminated by operating at a point for which the resonator frequency is insensitive to the amplitude [17], and this approach can be generalized to achieve amplitude-phase detachment in our system as well. At low enough temperatures the contribution of quantum noise to the phase diffusion becomes relevant, and can be calculated as it was done in [18]. …”

mentioning

confidence: 99%

Passive Phase Noise Cancellation Scheme

et al. 2012

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We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction is realized by a passive device consisting of a pair of coupled nonlinear resonating elements that are driven parametrically by the output of a conventional oscillator at a frequency close to the sum of the linear mode frequencies. Above the threshold for parametric instability, the coupled resonators exhibit self-oscillations which arise as a response to the parametric driving, rather than by application of active feedback. We find operating points of the device for which this periodic signal is immune to frequency noise in the driving oscillator, providing a way to clean its phase noise. We present results for the effect of thermal noise to advance a broader understanding of the overall noise sensitivity and the fundamental operating limits.

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Parametric self pulsing in a quantum opto‐mechanical system

Cited by 14 publications

References 18 publications

Efficient quantum computing using coherent photon conversion

Efficient quantum computing using coherent photon conversion

Synchronization of many nanomechanical resonators coupled via a common cavity field

Passive Phase Noise Cancellation Scheme

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