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Communications in Theoretical Physics

Eigenstates of the Operator $a_{qs}^k$ and Their Antibunching Effect

Ji‐Suo Wang, Chang-Yong Sun

Published Jun 15, 1997• 0 citations
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Abstract

In this paper, the mathematical structure and properties of orthonormalized eigenstates of the higher powers of the annihilation operator of two-parameter deformed harmonic oscillator are studied. Based on the work, the antibunching properties of them are investigated. It is found that they may form a complete Hilbert space, and all of them show antibunching effect.

DOI
10.1088/0253-6102/27/4/443

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In this paper, the mathematical structure and properties of orthonormalized eigenstates of the higher powers of the annihilation operator of two-parameter deformed harmonic oscillator are studied. Based on the work, the antibunching properties of them are investigated. It is found that they may form a complete Hilbert space, and all of them show antibunching effect.
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We introduce a quantum antibunching effect. The quantum antibunching effect of the K eigenstates of the K th powere ( K greater than or equal to 3) of the annihilation operator in the Q-deformed non-harmonic oscillator is investigated. The physical meaning of the K states are explored. The results show that there is the quantum antibunching effect in all of those states. All of them can be generated by a linear superposition of generalized coherent states produced by the time-dependent Q-deformation non-harmonic oscillator at different instants.