Higher-order properties of photon-added coherent states

• Published in: Optics communications 2008-05, Vol.281 (10), p.2842-2848
• Main Authors: Duc, Truong Minh, Noh, Jaewoo
• Format: Article
• Language: English
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Higher-order squeezing; Higher-order sub-Poissonian; Nonclassical field states; squeezed, antibunched and sub-poissonian states; operational definitions of the phase of the field; phase measurements; Optics; Photon statistics and coherence theory; Photon-added coherent states; Physics; Quantum optics
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2008.01.043

We have studied a higher-order squeezing and a higher-order sub-Poissonian photon statistics in photon-added coherent states. We obtained analytic forms of the degree of higher-order squeezing and the degree of higher-order sub-Poissonian statistics. We show that the photon-added coherent state | α , m 〉 exhibits both higher-order squeezing and higher-order sub-Poissonian character. For two different types of higher-order squeezing, the degree of squeezing becomes bigger when the added photon number is increased. In single-photon-added coherent state, the degree of squeezing depends upon the order of squeezing N. When N is increased, the degree of squeezing becomes bigger in the Hong–Mandel-type higher-order squeezing but becomes smaller in the Hillery-type higher-order squeezing. Also, the higher-order sub-Poissonian character is more pronounced than the usual sub-Poissonian character in the single-photon-added coherent state.