Iranian Journal of Physics Research

Investigating and analysis of the properties of coherent states of a deformed nonlinear harmonic oscillator

Document Type : Original Article

Authors

Mohsen Daeimohammad 1
Mohammad Nili Ahmadabadi 2

1 Department of Physics, Faculty of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

2 Department of Mathematics, Faculty of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

https://doi.org/10.47176/ijpr.23.2.61705
Abstract
In this research, we study the coherent states of a deformed nonlinear harmonic oscillator. We use the perturbation theory to compute eigenstates and eigen-values ​​for a deformed nonlinear harmonic oscillator and then define the generalized coherent states based on the Gazeau-Klauder formulation. Then, using the Mandel parameter and the second-order correlation function, we will investigate the statistical properties of the system. The analysis shows that the coherent states for a deformed and non-deformed nonlinear harmonic oscillator follows the sub-Poissonian and super-Poissonian statistics, and exhibits the antibunching and bunching effects, respectively. In addition, we show that the anti-correlation function for a deformed nonlinear oscillator is strongly fluctuating and irregular. Also, the anti-correlation function of a non-deformed nonlinear harmonic oscillator shows the phenomena of collapse and revival of fractional revelations. We also examine the limits of different parameters so that the obtained results are valid.

Keywords

deformed nonlinear harmonic oscillator
coherent states
Mandel parameter
super-Poissonian and sub-Poissonian statistical distributions
the bunching and antibunching effects
Subjects
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