Master equations and quantum trajectories for squeezed wave packets

The interaction between matter and squeezed light has mostly been treated within the approximation that field correlation time is small. Methods for treating with more general correlations currently involve explicitly modeling systems producing light. We develop a purpose input-output theory particular form of narrowband -- wave-packet mode only cares about statistics shape wave packet. This formalism allows us to derive relations master equation. also consider detecting scattered using photon counting homodyne measurements which necessitates derivation stochastic non Markovian nature manifests itself in equation as coupled hierarchy equations. illustrate these consequences decay resonance fluorescence two-level atoms presence such fields.