Generation of Multi-Photon Catalyzed Coherent States with Conditional Measurement on a Tunable Beam Splitter

We study a realistic scheme for generating novel photon-added coherent states based on conditional measurements performed on the beam splitter (BS) with adjustable transmittance. The output state is a Laguerre polynomial excited coherent state if a coherent state and an n-photon Fock state are present in two input ports and n-photons are detected by the photon detector in the other output port. The effects of the transmittance and the photon number of the input Fock state on the output quantum state of the BS are further analyzed. We prove that high transmittance BS and a small amount of photons injection can make the output quantum state with high fidelity and high detection success probability. However, it is found that low transmittance of BS is more conducive to the preparation of non-Gaussian quantum states via analysis of Q-function, photon-number distribution, sub-Poissonian distribution, antibunching effect, and the negativity of the Wigner function. An interesting finding is that the transmittance of BS needs to be adjusted appropriately to obtain the output state with a high squeezing effect via the BS.