Eur. Phys. J. D  (2013) 67: 264
https://doi.org/10.1140/epjd/e2013-40550-2

Regular Article

Generalized su(2) coherent states for the Landau levels and their nonclassical properties

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

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

Received: 2 September 2013
Received in final form: 21 October 2013
Published online: 17 December 2013

Abstract

Following the lines of the recent papers [J. Phys. A 44, 495201 (2012); B. Mojaveri, A. Dehghani, Eur. Phys. J. D 67, 179 (2013)], we construct here a new class of generalized coherent states related to the Landau levels, which can be used as the finite Fock subspaces for the representation of the su(2) Lie algebra. We establish the relationship between them and the deformed truncated coherent states. We have, also, shown that they satisfy the resolution of the identity property through a positive definite measures on the complex plane. Their nonclassical and quantum statistical properties such as quadrature squeezing, higher order ‘su(2)’ squeezing, anti-bunching and anti-correlation effects are studied in details. Particularly, the influence of the generalization on the nonclassical properties of two modes is clarified.