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Physics Letters A

Maximal depth of nonclassicality of light

Tai Hyun Yoon, Young‐Chul Kim

Published Sep 1, 2002• 2 citations
Publisher
DOI
10.1016/s0375-9601(02)01178-7

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We introduce marginal states of light which are barely classical and hence lie on the boundary between classical and nonclassical states. A marginal state may be obtained as an output of a beam splitter with vanishingly small transmission coefficient and a very intense nonclassical light as an input. We also point out that any marginal state can be made to be maximally nonclassical by adding a single photon. The close relation between nonclassicality and the particle nature of light is addressed.
The photon-number distribution for the single-mode radiation, as the result of the number state reflected from a grey body, has been given by Bekenstein and Schiffer. This problem is extended to the case where the incident light is the binomial mixed state. The nonclassical effects of the reflected radiation are studied. The nonclassical depth is determined explicitly. As expected, the nonclassical depth of the state decreases as the absorptivity increases. The critical point in the transition from nonclassical state to classical one is located. It is shown that the state becomes the negative-binomial mixed state at this transition point.