Quantum Decoherence
Lindblad Master Equation · Bloch Sphere Decay · Open Quantum System
Initial State
θ (polar):
45
°
φ (azimuthal):
0
°
Lindblad Rates
Γ₁ (energy relax):
0.5
Γφ (dephasing):
1.0
Ω (Larmor freq):
2.0
Reset
Pause
dρ/dt = −i[H,ρ] + Σₖ (LₖρLₖ† − ½{Lₖ†Lₖ,ρ})
L₁=√Γ₁·σ₋ (relaxation), L₂=√(Γφ/2)·σz (dephasing)
Bloch vector: (⟨σx⟩,⟨σy⟩,⟨σz⟩)
T₁=1/Γ₁ (longitudinal), T₂=1/(Γ₁/2+Γφ) (transverse)