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In this paper, the higher-order squeezing of a single mode light field state |ψ>=α|0>+β|m>(m>2) is studied. When m is even integral,we find that it exhibits arbitary higher-order squeezing except second order squeezing. But the higher-order squeezing and antibunchinf; do not appear simultaneously- Thus, we come to a conclusion that higher-order squeezing is a new nonclassicl effect of light field which is independent of second order squeezing and antibunching.
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