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The mean parity (the Wigner function at the origin) of excited binomialstates, excited coherent states and excited thermal states in thermal channelis investigated in details. It is found that the single-photon excited binomialstate and the single-photon excited coherent state exhibit certain similarityin the aspect of their mean parity in the thermal channel. We show the negativemean parity can be regarded as an indicator of nonclassicality of single-photonexcitation of optical fields with a little coherence, especially for thesingle-photon excited thermal states.

Mean parity of single quantum excitation of some optical fields in thermal environments