Negative Binomial States of Quantized Radiation Fields

We introduce the negative binomial states with negative binomial distribution as their photon number distribution. They reduce to the ordinary coherent states and Susskind-Glogower phase states in different limits. The ladder and displacement operator formalisms are found and they are essentially the Perelomov’s su(1, 1) coherent states via its Holstein-Primakoff realisation. These states exhibit strong squeezing effect and they obey the super-Poissonian statistics. A method to generate these states is proposed. PACS: 03.65.-w, 05.30.ch, 42.50.Ar ∗On leave of absence from Institute of Theoretical Physics, Northeast Normal University, Changchun 130024, P.R.China. E-mail: [email protected]