【摘 要】
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The higher-order fluctuations in the SU ( 1,1 ) generalized coherent states are discussed. The definition of higher-order SU(1,1) squeezing is introduced in ter
【机 构】
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Department of Physics, College of Sciences, Shanghai University, Shanghai 200436, China
论文部分内容阅读
The higher-order fluctuations in the SU ( 1,1 ) generalized coherent states are discussed. The definition of higher-order SU(1,1) squeezing is introduced in terms of higher-order uncertainty relation. For two possible bosonic realizations of SU(1,1) Lie algebra, the second-, fourth- and sixth-order SU(1,1) squeezing are examined in detail. It is shown that the SU(1,1) generalized coherent states can be squeezed to not only second-order, but also fourth-and sixth-order. Hence, it follows that the higher-order squeezing will occur for the fluctuations of the square of amplitude in squeezed vacuum. SU(1,1) higher-order squeezing is a kind of non-classical property which is independent of second-order squeezing.
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