Higher-Order Fluctuations and SU (1, 1) Higher-Order Squeezing in SU(1 , 1) Generalized Coherent States

摘要

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.