= Cavity-reservoir interaction
{title2=$H_I=i\sqrt\gamma(a\otimes b^\dagger-a^\dagger\otimes b)$}
The <rotating-wave approximation> to a weak quadrature coupling of a cavity mode to a broadband field retains photon-exchange terms and removes counter-rotating pair creation and annihilation. Flat coupling around resonance produces the displayed interaction in units $\hbar=1$. Its short-time propagator is generated by $\sqrt\gamma(a\,dB^\dagger-a^\dagger dB)$; the <Gaussian quantum noise Ito table> supplies the quadratic drift correction. The resulting passive cavity has the <passive cavity input-output transfer function>.
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