By the use of nonclassical depth as a criterion for nonclassicality, we show that states generated by first adding (subtracting) multiphotons to an arbitrary state and then subtracting (adding) multiphotons from the resulting state is certainly nonclassical if the addition number of photons is equal to or larger than the subtraction number. The explicit expressions of nonclassical depth are found for both the single-photon-subtracted Gaussian state and the photon-added-then-subtracted thermal state. Based on the expressions, we show that the nonclassicality of the initial Gaussian state can be enhanced by the photon subtraction process. We also notice that the photon-added-then-subtracted thermal state is nonclassical if the initial thermal mean photon number is not zero, and the nonclassicality increases monotonously as the initial thermal mean photon number increases.
© 2009 Optical Society of America
(160.3918) Materials : Metamaterials
Original Manuscript: January 21, 2009
Revised Manuscript: February 26, 2009
Manuscript Accepted: March 4, 2009
Published: March 27, 2009
Yang Yang and Fu-Li Li, "Nonclassicality of photon-subtracted and photon-added-then-subtracted Gaussian states," J. Opt. Soc. Am. B 26, 830-835 (2009)