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International Journal of Theoretical Physics

, Volume 58, Issue 6, pp 1776–1790 | Cite as

Photon-Added SU(1, 1) Coherent States and their Non-Classical Properties

  • Hadiah Bint Monir
  • Naila Amir
  • Shahid IqbalEmail author
Article

Abstract

The photon-added coherent states of Barut-Girardello and Perelomov types are constructed using Holstein-Primakoff realization of the su(1, 1) Lie algebra. Basic properties of the constructed states have been discussed. In addition, their non-classical features have been analyzed by computing photon detection probability distribution, Mandel Q-parameter and quadrature squeezing. It is shown that SU(1, 1) photon-added coherent states may exhibit sub-Poissonian statistics and quadrature squeezing for a chosen set of parameters. Moreover, it has been observed that their non-classical behavior increases as the number of added-photons increases.

Keywords

su(1, 1) Lie algebra Photon-added Barut-Girardello coherent states Photon-added Perelomov coherent states Enhancement of non-classical properties Photon counting statistics Mandel Q-parameter Sub-poisson statistics Quadrature squeezing 

Notes

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics, School of Natural SciencesNational University of Sciences and TechnologyIslamabadPakistan
  2. 2.School of Electrical Engineering and Computer SciencesNational University of Sciences and TechnologyIslamabadPakistan

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