Doppler Cooling of CNT Optomechanical Systems

Demonstrating how active cooling enables room-temperature quantum operation

Doppler Effect Visualization

Doppler Shift:
ω_seen = ω_laser × (1 ± v/c)
Red-detuned: ω_laser < ω_cavity

Cooling vs Heating Rates

Competition:
Γ_cool = (g₀²n_cav/κ) × (δ/γ_m)
Γ_heat = n_th × γ_m
Need: Γ_cool > Γ_heat

Interactive Parameters

Temperature (K): 300 K

Laser Power (mW): 1.0 mW

Detuning (γ_m): -0.5 γ_m

Results:

Key Physics Insights

At T = 300K, f = 1 GHz:
ℏω/(k_B T) = 0.16
n_th (equilibrium) = 6.5 phonons

With Doppler Cooling:
n_final = n_th × [Γ_heat / (Γ_cool + Γ_heat)]
If Γ_cool = 10 × Γ_heat → n_final = 0.65 < 1
→ Demonstrating Doppler cooling effect