Piezo Excitation & CNT Array
Piezo Drive: V(t) = V₀ sin(2πf_piezo t)
CNT Response: x(t) = A(ω) × V(t)
Resonance: A(ω) = 1/√[(ω₀² - ω²)² + (γω)²]
CNT Response: x(t) = A(ω) × V(t)
Resonance: A(ω) = 1/√[(ω₀² - ω²)² + (γω)²]
Tonnetz Harmonic Filtration
CNT Lengths: L₂/L₁ = q/p (musical ratio)
Frequencies: ω = (1/2L)√(E/ρ)
Active Harmonics: None
Frequencies: ω = (1/2L)√(E/ρ)
Active Harmonics: None
Doppler Laser Cooling
Cooling Rate: Γ_cool = C × γ_m × η(δ)
Heating Rate: Γ_heat = n_th × γ_m
Effective Temp: T_eff = T × [Γ_heat/(Γ_cool + Γ_heat)]
Heating Rate: Γ_heat = n_th × γ_m
Effective Temp: T_eff = T × [Γ_heat/(Γ_cool + Γ_heat)]
Integrated System Performance
Phonon Number
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Coherence Time
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Cooperativity
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Quantum Regime
NO
System Parameters
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Physical Analysis
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