Eur. Phys. J. D (2012) 66: 257
https://doi.org/10.1140/epjd/e2012-30192-3

Regular Article

The anti standard-ordered distribution function in the Paul trap and its non-classical indicator

Material and Energy Research Center (MERC), P.O. Box 14155-4777, Tehran, Iran

^a e-mail: s.talebimotlagh@gmail.com

Received: 21 March 2012
Received in final form: 15 July 2012
Published online: 11 October 2012

Abstract

The anti standard-ordered distribution function is calculated in the Paul trap. We show that the real part of the ground state distribution function can take negative values in phase space, which reveals the non-classical nature of this system. This negativity is absent in its Wigner counterpart. The physical behaviour of this non-classicality resembles the uncertainty principle.