We report the close form expressions of the photon number statistics for a generalized coherent state and a generalized photon-added coherent state, which are shown to be crucial for proposing a variety of quantum scissor operations. The analytically obtained distributions are also capable of predicting the precise laser intensity windows for realizing a variety of quantum scissors. Truncating a photon added state overcomes the selection rule of obtaining the lower order Fock states. Photon addition also enables us to obtain a higher order Fock state in a lower order superposition. The importance of circular geometry is also demonstrated for engineering such quantum scissors.
@article{arxiv.2403.11466,
title = {Quantum Scissor from Exact Generalized Photon Number Statistics},
author = {Abdul Q. Batin and Suranjana Ghosh and Prasanta K. Panigrahi and Utpal Roy},
journal= {arXiv preprint arXiv:2403.11466},
year = {2024}
}