Qubit-Coupled Mechanics - IFSC

Thermal Noise
B-E: p N = NN /(N + 1) N+1
The Environment: (e.g. charge fluctuations ;
phonons from substrate, EM radiation, etc)
E
Energy Spectrum
ħω
Energy levels only account Roukes for
Rule of Thumb: KE and PE due to restoring force
Need k BT
≲ 1 PE
ħω
Oscillator
Embedded in
an ‘environment’
H = 1 2 k 0χ̂0 2 + p̂0 2
2m 0
KE
If k B T ≫ ħω
In equilibrium:
N = 1
N = 0
N = 3
N = 2
x
Environment is
Source of random
fluctuations that ‘kick’
And damp resonator.
→ E ~k B T Fluctuations ‘wash out’ discrete levels
Nanoresonator as S.H.O.
m
k
x
Environment
Temp. T