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Qubit-Coupled Mechanics - IFSC

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Next step: Dispersive measurements of the number-state<br />

statistics of a mechanical mode<br />

Perform spectroscopy on the qubit<br />

while it is coupled to the<br />

mechanical resonator<br />

ω<br />

= 300 MHz<br />

2π<br />

χ<br />

= 0.6 MHz<br />

2π<br />

k B T~1.7ħω<br />

<strong>Qubit</strong> Linewidth<br />

γ qq<br />

= 0.5 MHz<br />

2π<br />

Absorption spectrum of qubit<br />

for nanoresonator in thermal<br />

state at T = 25 mm<br />

Absorption<br />

Rate (A.U.)<br />

*Calculations based on CLERK & UTAMI, PRA 75, 042302 (2007)<br />

‘Stark’-Shifted <strong>Qubit</strong> Transitions<br />

N = 2<br />

N = 1<br />

N = 0<br />

…<br />

N = 0<br />

Simulation of Stark Shift<br />

…<br />

∆E + ħχ<br />

|−⟩ |+⟩<br />

2<br />

∆E + 5ħχ<br />

1<br />

∆E + 3ħχ<br />

N = 1<br />

0.1 1.0 10<br />

ω s − ΔE (MHz)<br />

0<br />

N = 2

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