Lindblad Decoherence
Hamiltonian
ω₀ (qubit freq):
1.0
Drive amp Ω:
0.0
Drive freq ωd:
1.0
Lindblad Channels
Dephasing γ_φ:
0.1
Relaxation γ₁:
0.05
Excitation γ↑:
0.02
Initial State
|0⟩ (ground)
|1⟩ (excited)
|+⟩ = (|0⟩+|1⟩)/√2
|+i⟩ = (|0⟩+i|1⟩)/√2
Reset
Observables
⟨σ_x⟩
—
⟨σ_y⟩
—
⟨σ_z⟩
—
Purity Tr(ρ²)
—
|ρ₀₁| (coherence)
—
dρ/dt = -i[H,ρ] + Σ Lₖρ Lₖ† - ½{Lₖ†Lₖ,ρ}
Dephasing:
L = √γ_φ σ_z
Relax:
L = √γ₁ σ₋
T₂ = 1/(γ_φ + γ₁/2)
Bloch Sphere
Density Matrix ρ(t)
Coherence |ρ₀₁|(t)
Populations ρ₀₀, ρ₁₁