  We generate single-photon catalyzed coherent states (SPCCSs) by means of
quantum-optical catalysis based on the beam splitter (BS) or the parametric
amplifier (PA). These states are obtained in one of the BS (or PA) output
channels if a coherent state and a single-photon Fock state are present in two
input ports and a single photon is registered in the other output port. The
success probabilities of the detection (also the normalization factors) are
discussed, which is different for BS and PA catalysis. In addition, we prove
that the generated states catalyzed by BS and PA devices are actually the same
quantum states after analyzing photon number distribution of the SPCCSs. The
quantum properties of the SPCCSs, such as sub-Poissionian distribution,
anti-bunching effect, quadrature squeezing effect, and the negativity of the
Wigner function are investigated in detail. The results shows that the SPCCSs
are non-Gaussian states with an abundance of nonclassicality, which can provide
the quantum advantages for quantum technological tasks.
