Eur. Phys. J. D (2014) 68: 315
https://doi.org/10.1140/epjd/e2014-50261-9

Regular Article

Generation of photon-added coherent states via photon-subtracted generalised coherent states

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

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

Received: 30 March 2014
Received in final form: 25 May 2014
Published online: 23 October 2014

Abstract

Based on previous work [A. Dehghani, B. Mojaveri, J. Phys. A 45, 095304 (2012)], we introduce photon-subtracted generalised coherent states (PSGCSs) |z,m⟩_r: = a^m|z⟩_r, where m is a nonnegative integer and |z⟩_r denote the generalised coherent states (GCSs). We have shown that the states |z,m⟩_r are eigenstates of a non-Hermitian operator f(n̂,m)â, where f(n̂,m) is a nonlinear function of the number operator N̂ . Also, the states | z, − m ⟩ _r can be considered as another set of eigenstates for negative values of m. They span the truncated Fock space without the first m lowest-lying basis states: | 0 ⟩ , | 1 ⟩ , | 2 ⟩ ,...,| m − 1 ⟩ which are reminiscent of the so-called photon-added coherent states. The resolution of the identity property, which is the most important property of coherent states, is realised for |z,m⟩_r as well as for |z, − m⟩_r. Some nonclassical features such as sub-Poissonian statistics and quadrature squeezing of the states |z, ± m⟩_r are compared. We show that the annihilation operator diminishes the mean number of photons of the initial state |z⟩_r. Finally we show that |z,m⟩_r can be produced through a simple theoretical scheme.