Generating single-photon catalyzed coherent states with quantum-optical catalysis

TL;DR

This paper presents a method to generate non-Gaussian, nonclassical single-photon catalyzed coherent states using beam splitters or parametric amplifiers, analyzing their properties and potential quantum advantages.

Contribution

It introduces a unified approach to generate and analyze SPCCSs via BS and PA, demonstrating their nonclassical features and equivalence after photon detection.

Findings

SPCCSs exhibit sub-Poissonian photon statistics

States show quadrature squeezing and Wigner function negativity

Success probabilities differ between BS and PA catalysis

Abstract

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.