In this paper, we consider a superposition of a weak coherent field and a two-photon source and examine the amplitude-squared squeezing (ASS) properties of the combined field. We demonstrate that the efficient and lasting ASS effect of the field could be observed due to constructive two-photon quantum interference. The relationship between ASS and photon antibunching effects is discussed. It is found that photon antibunching may accompany weak ASS, but in most cases ASS effects appear accompanying photon bunching.
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