Lindblad Decoherence
Open quantum systems · Bloch sphere trajectory · Quantum-to-classical transition
Bloch Sphere (3D projection)
Bloch components vs time
Decay rate (γ₁)
0.30
Dephasing (γ₂)
0.20
Rabi freq (Ω)
1.00
Init θ (polar)
90°
Reset
Pause
Lindblad:
dρ/dt = −i[H,ρ] + Σₖ γₖ(LₖρLₖ† − ½{Lₖ†Lₖ,ρ})
Bloch:
ṙ = Ωn̂×r − Γr (decay matrix)
Purity:
Tr(ρ²) = ½(1+|r|²) → ½ (mixed)
|r| = 1.000 | Purity = 1.000 | t = 0.000