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International Journal of Theoretical Physics

Nonclassical Properties of Orthonormalized Eigenstates of the Operator (a q f(N q )) k

Ji‐Suo Wang, Jian Feng, Tang-Kun Liu, Mingsheng Zhan

Published Dec 1, 2002• 1 citation
Publisher
DOI
10.1023/a:1021350319884

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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 an antibunching and a new kind of higher-order squeezing. The properties of the antibunching effect and M-th-order squeezing of the k states are studied. The result shows that these states may form a complete Hilbert space. There is antibunching effect in all of the states, and the M-th [M = ( n + 1/2) k; n = 0, 1 2, ...] squeezing effects exist in all of the k states when k is even.