Eur. Phys. J. Plus (2018) 133: 346
https://doi.org/10.1140/epjp/i2018-12163-2

Regular Article

Excitation on the para-Bose states: Nonclassical properties

¹ Department of Physics, Azarbaijan Shahid Madani University, PO Box 51745-406, Tabriz, Iran
² Department of Physics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

^* e-mail: bmojaveri@azaruniv.ac.ir

Received: 17 April 2018
Accepted: 24 July 2018
Published online: 3 September 2018

Abstract

In this paper, we use a para-Bose operator to construct new kinds of excited para-Bose states. These states may be considered as appropriate and linear combinations of the para-Bose Fock states. We prove that these states satisfy a closure relation that is expressed uniquely in terms of the Meijer G -function. We examine the nonclassical properties of these states, by evaluating para-Bose Fock state distribution, Mandel’s parameter, second-order coherence function and quadrature squeezing. It results that the introduced excited para-Bose states show both the nonclassical and semiclassical statistics on their Fock state distribution. We also show that these states lack second-order coherence, i.e. they are not full coherent. Interestingly, the non-classicality of these states is controlled by the deformation parameter and number of excitation, where both parameters might be feasible for fine tuning in the trapped-ion quantum simulation.