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Excited Binomial States and Excited Negative Binomial States of the Radiation Field and Some of Their Statistical Properties

1999/03/31 by Xiaoguang Wang, Xiao-Guang Wang, Hong‐Chen Fu +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum optics and atomic interactions #quant-ph

paper · pdf · doi:10.1023/a:1003619724681

published as Int.J.Theor.Phys.39:1437-1444,2000 · 7 pages, 4 figures

arxiv created 1999/04/09 · openalex publication_date 2000/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce excited binomial states and excited negative binomial states of the radiation field by repeated application of the photon creation operator on binomial states and negative binomial states. They reduce to Fock states and excited coherent states in certain limits and can be viewed as intermediate states between Fock states and coherent states. We find that both the excited binomial states and excited negative binomial states can be exactly normalized in terms of hypergeometric functions. Base on this interesting character, some of the statistical properties are discussed.

Citations