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Quantum statistical properties of orthonormalized eigenstates of the operator ((a)over-capf((n)over-cap))(k)

Jian‐Sheng Wang, Jie Feng, TK Liu, Zhang

Published Jun 14, 2002• 0 citations
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Abstract

The completeness of the k orthonormalized eigenstates of the operator ((a) over capf((n) over cap))(k) (k greater than or equal to 3) is investigated. We introduce a new kind of higher-order squeezing and an antibunching. The properties of the Mth-order squeezing and the antibunching effect of the k states are studied. The result shows that these states may form a complete Hilbert space, and the Mth-order (M = (n + 1/2)k; n = 0, 1,...) squeezing effects exist in all of the k states when k is even. There is an antibunching effect in all of the states. An alternative method for constructing the k states is proposed, and the result shows that all of them can be generated by linear superposition of the time-dependent nonlinear coherent states at different instants.

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Quantum statistical properties of orthonormalized eigenstates of the operator (â f (n^\hat nn^))k
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