Manuscript Psy02-A@1 · Psy02-A.tex · section · d92ce402

Unconditional dynamics

A separately declared reduction model › Unconditional dynamics · lines 2344–2363

Psy02-A@1#eq:collapse-generator

Let

L_{α} = a \sum ℓ_{α a} ∣ a ⟩ ⟨ a ∣, H = a \sum E_{a} ∣ a ⟩ ⟨ a ∣ .

Define the finite generator

L_{c} (ρ) = - \frac{i}{ℏ} [H, ρ] - \frac{1}{2} α \sum [L_{α}, [L_{α}, ρ]] .

This is a bounded finite-dimensional generator of the standard completely positive form GoriniKossakowskiSudarshan,Lindblad.

Displayed formulas in this passage

Psy02-A@1#eq:collapse-generator · line 2353
$L_{c} (ρ) = - \frac{i}{ℏ} [H, ρ] - \frac{1}{2} α \sum [L_{α}, [L_{α}, ρ]] .$
unlabeled · line 2347
$L_{α} = a \sum ℓ_{α a} ∣ a ⟩ ⟨ a ∣, H = a \sum E_{a} ∣ a ⟩ ⟨ a ∣ .$