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Qubit-Coupled Mechanics - IFSC

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Thermal Noise<br />

E<br />

Energy Spectrum<br />

The Environment: (e.g. charge fluctuations ;<br />

phonons from substrate, EM radiation, etc)<br />

Energy levels only account Roukes for<br />

KE and PE due to restoring force<br />

PE<br />

ħω 0<br />

Oscillator<br />

Embedded in<br />

an ‘environment’<br />

H = 1 2 k 0χ̂0 2 + p̂0 2<br />

2m 0<br />

KE<br />

E = ħω 0 N + 1 2<br />

N = 1<br />

N = 0<br />

N = 3<br />

N = 2<br />

x<br />

Environment is<br />

Source of random<br />

fluctuations that ‘kick’<br />

And damp resonator.<br />

Nanoresonator as S.H.O.<br />

k<br />

m x<br />

Environment<br />

Temp. T

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