Negative Binomial States of Quantized Radiation Fields

Abstract

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.

10 pages, latex2e, 2 EPS figures

References in corpus (2)

• Exponential and Laguerre Squeezed States for su(1,1) Algebra and Calogero-Sutherland Model
• Hypergeometric States and Their Nonclassical Properties

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• Single step quantum state engineering in traveling optical fields
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