Quantum non-Gaussianity of single-mode Schrödinger cat states based on Kurtosis
Department of Physics and Information Engineering, Huaihua University, Huaihua, Hunan 418008, P.R. China
Received: 22 August 2015
Received in final form: 3 October 2015
Published online: 24 November 2015
We evaluate the non-Gaussianity of single-mode Schrödinger cat states based on measure of the kurtosis. It is found that for odd Schrödinger cat state, its kurtosis is always negative, whereas the kurtosis of even Schrödinger cat state may be negative or positive. We then introduce the average kurtosis to measure how far the distribution of Schrödinger cat states is from their corresponding Gaussian ones. Finally, we discuss the relation between the non-Gaussianity and nonclassicality of such states.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2015