Manuscript Em03-B@2 · Em03-B-v2.tex · section · c1a0977d

Reference-stable mode comparison with a nonvacuum background

Finite switching and nonvacuum mode mismatch › Reference-stable mode comparison with a nonvacuum background · lines 885–897

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For simplicity write $θ = θ_{L}$ , $g = g_{L}$ . Let

J = i (a (g)^{†} a (h) - a (h)^{†} a (g)) .

Up to the choice of rotation sign, $V_{θ} = e^{- i θ J}$ identifies mode $h$ with $cos θ h + sin θ g$ . The generator is self-adjoint as the direct sum of finite total-number sectors.

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unlabeled · line 889
$J = i (a (g)^{†} a (h) - a (h)^{†} a (g)) .$

Nearby in this section

lemma: Lemma: Gaussian mode-mismatch certificate
section: Reference-stable mode comparison with a nonvacuum background
proposition: Proposition: A non-Gaussian occupation-constrained alternative
section: Reference-stable mode comparison with a nonvacuum background