We study the nonclassical properties of single-photon-added two-mode SU(1,1) coherent states. We derive the analytic expressions of the sum squeezing, the difference squeezing, the higher-order squeezing, the higher-order antibunching and the violation of the Cauchy– Schwarz inequality. | NONCLASSICAL PROPERTIES OF SINGLE-PHOTON-ADDED TWO-MODE SU(1,1) COHERENT STATES MAI THI LY - TRUONG MINH DUC University of Education, Hue University Abstracts: We study the nonclassical properties of single-photon-added two-mode SU(1,1) coherent states. We derive the analytic expressions of the sum squeezing, the difference squeezing, the higher-order squeezing, the higher-order antibunching and the violation of the Cauchy– Schwarz inequality. We show that in such states, squeezing appears in the sum squeezing and in the higher-order squeezing but not in the difference squeezing. We also show that these states not only exhibit higher-order antibunching to all orders but also completely violate the Cauchy – Schwarz inequality. As expected, when adding a photon to two modes of two-mode SU(1,1) coherent states, the degree of sum squeezing and Hillery higher-order squeezing become bigger but the degree of higherorder antibunching and violation of the Cauchy-Schwarz inequality become smaller. Keywords: Single-photon-added two mode SU(1,1) coherent states, nonclassical properties. 1 INTRODUCTION Recently in quantum optics there has been much interest in the photon-added coherent states. In particular, for the photon-added two-mode states, strong correlations between the modes are responsible for many nonclassical effects including sub-Poissonian statistics, squeezing and violation of the Cauchy– Schwarz inequality that is the premise for various applications in quantum optics, quantum information and quantum computation. The photon-added coherent states was first introduced by Agarwal and Tara [1] in 1991. Many states can be become to the photon-added coherent states by adding photons to single-mode or double-mode feilds of this state. Journal of Science and Education, University of Education, Hue University ISSN 1859-1612, No 02(42)/2017: pp. 15-28 Received: 01/10/2016; Revised: 15/10/2016; Accepted: 28/10/2016 16 MAI THI LY - TRUONG MINH DUC Relied upon it, we .
