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Optomechanical effects of two-level systems in a back-action evading measurement of micro-mechanical motion
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10.1063/1.4816428
/content/aip/journal/apl/103/5/10.1063/1.4816428
http://aip.metastore.ingenta.com/content/aip/journal/apl/103/5/10.1063/1.4816428
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Device and optomechanical coupling. (a) (Left) Sample electron micrograph showing the electromechanical capacitor formed by silicon nitride (SiNx) membrane and Al top gate. An Al spiral inductor (not shown) completes the microwave LC resonator. (Right) Sideview of structure. (b) Measurement schematic. (c) Mechanical damping rate vs. number of pump photons. The solid line is a fit to optical damping.

Image of FIG. 2.
FIG. 2.

Evidence of TLS. (a) and (b) Microwave resonance shift vs. temperature. (a) Above 0.2 K, the data fit to BCS theory (green line). (b) At lower temperatures, a fit to TLS model (Eq. (2) ) matches to the observed shift (red line). (c) Microwave damping rate vs. number of pump photons. The red line is a fit to the TLS model (Eq. (3) ) with a constant offset ( s) from non-TLS contributions. (d) Mechanical resonance shift vs. temperature with a TLS model fit to Eq. (4) . (Inset) Mechanical damping rate shows a linear behavior over temperature.

Image of FIG. 3.
FIG. 3.

TLS-induced microwave shift and optical spring. (a) Microwave resonance frequency shifts over . The solid line is a fit to the TLS model in strong driving regime, Eq. (1) . (b) Mechanical resonance frequency also shifts, agreeing well with a prediction of optical spring calculated from solid line in (a).

Image of FIG. 4.
FIG. 4.

(a)–(c) Two-tone BAE measurements and parametric instability. Red crosses are from detuned two-tone measurements, and green circles are from BAE measurements. (a) The average occupation number of the mechanical resonator in the BAE measurement shows abrupt increase above , whereas such instability is absent in the detuned two-tone measurements. (b) In BAE, the mechanical damping rates also drop significantly accompanying the increase in . In the detuned two-tone measurements, there is no sign of such linewidth narrowing. (c) The quadrature imprecision in BAE reaches before parametric instability. (d) The average occupation number of LC resonator () vs. number of pump photons. The pumped LC resonator becomes populated with noise power, which is quantified by the average occupation number . It shows reasonable agreement to dependence.

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/content/aip/journal/apl/103/5/10.1063/1.4816428
2013-07-29
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Optomechanical effects of two-level systems in a back-action evading measurement of micro-mechanical motion
http://aip.metastore.ingenta.com/content/aip/journal/apl/103/5/10.1063/1.4816428
10.1063/1.4816428
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