科研之友
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摘要
A new kind of nonlinear coherent states, i.e. the k eigenstates of the powers (B) over cap (k) (k >= 3) of the generalized annihilation operator (B) over cap = (a) over cap (dagger-1)f ((N) over cap) of f-oscillators, are constructed using the inverse operators of the boson annihilation and creation operators. The set of these states may form a complete quantum mechanics representation. Using newly defined higher order squeezing and an antibunching, the properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The results show that the Mth-order [M = (n + 1/2) k; n = 0, 1, 2,.] squeezing effects exist in all of the k states when k is even and the antibunching effect exists in all of the k states.
