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

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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.

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Authors and Affiliations

  1. Department of Physics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan

    Hadiah Bint Monir & Shahid Iqbal

  2. School of Electrical Engineering and Computer Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan

    Naila Amir

Authors
  1. Hadiah Bint Monir
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  2. Naila Amir
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  3. Shahid Iqbal
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Correspondence to Shahid Iqbal.

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Monir, H., Amir, N. & Iqbal, S. Photon-Added SU(1, 1) Coherent States and their Non-Classical Properties. Int J Theor Phys 58, 1776–1790 (2019). https://doi.org/10.1007/s10773-019-04071-1

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