State Initialization
|ψ⟩ = α|0⟩ + β|1⟩
Amplitude α (|0⟩)
0.707
Phase Angle φ (rad)
0.00
Bath Environment
Temperature T (K)
310 K
Coupling Strength γ (s⁻¹)
1.5e12
Presets
Decoherence Rate (Γ)
1.50e12 s⁻¹
Characteristic Time (τ)
0.67 ps
Final Purity Tr(ρ²)
0.500
von Neumann Entropy
0.693
Density Matrix ρ(t)
t = 0.00 ps
ρ₀₀ (Prob)
0.50
ρ₀₁ (Coherence)
0.50
ρ₁₀ (Coherence)
0.50
ρ₁₁ (Prob)
0.50
Off-diagonal elements (ρ₀₁, ρ₁₀) quantify pure quantum superposition.
Decoherence Dynamics Dynamics
― |ρ₀₁| Coherence
― Purity Sp(ρ)
Physical Physics vs Macroscopic Consciousness Claims
✓ Rigorous Quantum Decoherence
In warm, wet biological environments (~310 K), interaction with environmental thermal baths destroys quantum coherence on timescales of 10⁻¹³ to 10⁻²⁰ seconds. Superposition cannot persist across neural firing times (~10⁻³ s).
⚠ Demystifying "Quantum Consciousness"
Speculative claims that macroscopic awareness or dream states traverse parallel dimensions via brain-level quantum entanglement ignore decoherence. Thermal noise collapses wave packets billions of times faster than neurochemical transmission.