Nonlinear coherent states of the para-Bose oscillator and their non-classical features
Department of Physics, Azarbaijan Shahid Madani University, P.O. Box 51745-406, Tabriz, Iran
2 Department of Physics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
* e-mail: firstname.lastname@example.org
Accepted: 29 October 2018
Published online: 19 December 2018
The construction of nonlinear coherent states via a unitary displacement operator is possible only for a few quantum-mechanical systems. In this paper, we define two non-unitary and a unitary displacement operators with the help of corresponding f -deformed bosonic annihilation and creation operators. While the action of the non-unitary displacement type operators on the vacuum state of field results in two new families of nonlinear coherent states (NLCSs), the unitary displacement operator reproduces Wigner-Heisenberg coherent states of the Gilmore-Perelomov type. We prove that the introduced NLCSs satisfy the resolution of the identities through positive definite measures. We also examine the non-classical properties of the obtained NLCSs by evaluating Klyshko’s criterion, Mandel’s parameter, quadrature squeezing and Wigner quasi-probability distribution function, in detail. Finally, we propose a simple scheme for the physical generation of the introduced NLCSs of the Gilmore-Perelomov type.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018