  The addition of a photon into the same mode as a coherent state produces a
nonclassical state that has interesting features, including quadrature
squeezing and a sub-Poissonian photon-number distribution. The squeezed nature
of photon-added coherent (PAC) states potentially offers an advantage in
quantum sensing applications. Previous theoretical works have employed a
single-mode treatment of PAC states. Here, we use a continuous-mode approach
that allows us to model PAC state pulses. We study the properties of a
single-photon and coherent state wavepacket superimposed with variable temporal
and spectral overlap. We show that, even without perfect overlap, the state
exhibits a sub-Poissonian number distribution, second-order quantum
correlations and quadrature squeezing for a weak coherent state. We also
include propagation loss in waveguides and study how the fidelity and other
properties of PAC state pulses are affected.
