A one-dimensional nonlinear harmonic oscillator is studied in the context of generalized coherent states. We develop a perturbative framework to compute the eigenvalues and eigenstates for the quantum nonlinear oscillator and construct the generalized coherent states based on Gazeau-Klauder formalism. We analyze their statistical properties by means of Mandel parameter and second order correlation function. Our analysis reveals that the constructed coherent states exhibit super-Poissonian statistics. Moreover, it is shown that the coherent states mimic the phenomena of quantum revivals and fractional revivals during their time evolution. The validity of our results has been discussed in terms of various parametric bounds imposed by our computational scheme.
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June 2015
Research Article|
June 18 2015
Coherent states for nonlinear harmonic oscillator and some of its properties
Naila Amir;
Naila Amir
a)
School of Natural Sciences,
National University of Sciences and Technology
, Islamabad, Pakistan
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Shahid Iqbal
Shahid Iqbal
b)
School of Natural Sciences,
National University of Sciences and Technology
, Islamabad, Pakistan
Search for other works by this author on:
J. Math. Phys. 56, 062108 (2015)
Article history
Received:
January 07 2015
Accepted:
June 04 2015
Citation
Naila Amir, Shahid Iqbal; Coherent states for nonlinear harmonic oscillator and some of its properties. J. Math. Phys. 1 June 2015; 56 (6): 062108. https://doi.org/10.1063/1.4922606
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