Manuscript Em03-E@1 · Em03-E-v1.tex · section · c4b07e6a

Key emission

E1: explicit internal and emission Hamiltonians › Key emission · lines 478–498

Em03-E@1#eq:keyemission

Define the partial isometry

T_{1} = a, b \sum ∣ 0 ⟩_{F_{1}} ⟨ 1 ∣ \otimes ∣ a, b ⟩ ⟨ a, b ∣_{K} \otimes ∣ a, b ⟩_{C_{1}} ⟨ v ∣ .

Unprinted factors carry the identity. Use

G_{1} = T_{1} + T_{1}^{†}, \int g_{1} (t) d t = π /2.

On the prepared subspace,

∣ 1 ⟩_{F_{1}} ∣ a, b ⟩_{K} ∣ v ⟩_{C_{1}} ⟼ - i ∣ 0 ⟩_{F_{1}} ∣ a, b ⟩_{K} ∣ a, b ⟩_{C_{1}} .

Displayed formulas in this passage

Em03-E@1#eq:keyemission · line 492
$∣ 1 ⟩_{F_{1}} ∣ a, b ⟩_{K} ∣ v ⟩_{C_{1}} ⟼ - i ∣ 0 ⟩_{F_{1}} ∣ a, b ⟩_{K} ∣ a, b ⟩_{C_{1}} .$
unlabeled · line 481
$T_{1} = a, b \sum ∣ 0 ⟩_{F_{1}} ⟨ 1 ∣ \otimes ∣ a, b ⟩ ⟨ a, b ∣_{K} \otimes ∣ a, b ⟩_{C_{1}} ⟨ v ∣ .$
unlabeled · line 488
$G_{1} = T_{1} + T_{1}^{†}, \int g_{1} (t) d t = π /2.$