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International Journal of Theoretical Physics

Non-classical Properties of State Generated by the Superposition of Photon-Added Even/Odd Coherent States

Gang Ren, Jian-ming Du, Hai-jun Yu, Xiulan Zhang, Ye‐Jun Xu

Published Jun 3, 2013• 5 citations
Publisher
DOI
10.1007/s10773-013-1659-3

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Using the coherent state representation of the Wigner operator, the Wigner function for the photon-added even and odd coherent state (PAEOCS) is obtained. In terms of the variations of the Wigner function with the complex parameter α in the phase space, the non-classical properties of the PAEOCS are discussed. It is found that the PAEOCS always exhibits the non-classical properties, and the photon-added even (or odd) coherent state exhibits the non-classical properties more easily when m is odd (or even). By virtue of the marginal distributions of the Wigner function for the PAEOCS, we illuminate the physical meaning of the Wigner function. Finally, based on the intermidate coordinate-momentum presentation the quantum tomogram function for the PAEOCS is obtained.