Nonclassical Properties of Orthonormalized Eigenstates of the Operator (a
q
f(N
q
))
k |
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| Authors: | Ji-Suo Wang Jian Feng Tang-Kun Liu Ming-Sheng Zhan |
| |
| Institution: | (1) Department of Physics, Liaocheng University, Shandong, People's Republic of China;(2) State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, People's Republic of China;(3) Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, People's Republic of China;(4) Department of Physics, Hubei Normal University, Huangshi, People's Republic of China |
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| Abstract: | In this paper, the completeness of the k orthonormalized eigenstates of the operator (a
q
f(N
q
))
k
(k  3) is proved. 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 investigated. The result shows that these states may form a complete Hilbert space, and the Mth order M = (m + 1/2)k;m = 0,1,2,. . .] squeezing effects exist in all of the k states when k is even. There is the antibunching effect in all of the states. |
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| Keywords: | operator (a
q
f(N
q
))
k
orthonormalized eigenstates completeness higher order squeezing antibunching effect |
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