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Chinese Physics C

Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Zhong Wang

Published Jan 1, 2001• 0 citations
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Abstract

The antibunching effect for the eigenstates of the k-th powers of the annihilation operator of two-parameter deformed harmonic oscillator (akqs,k≥3 ) is studied. Using the numerical method , we have studied the influences of the two parameter (qs ) deformation on the effect in the case of k = 3. It is shOwn that the eigenstates of akqs have anibunching effect when x = |α| 2,which reflects the intensity of the two-parameter deformed light field, is in values of certain intervals. The effect is evidently influeneed by the values of paratnters q and s.

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The antibunching effect for the eigenstates of the k-th powers of the annihilation operator of two-parameter deformed harmonic oscillator (akqs,k≥3 ) is studied. Using the numerical method , we have studied the influences of the two parameter (qs ) deformation on the effect in the case of k = 3. It is shOwn that the eigenstates of akqs have anibunching effect when x = |α| 2,which reflects the intensity of the two-parameter deformed light field, is in values of certain intervals. The effect is evidently influeneed by the values of paratnters q and s.
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Eigenstates of the Operator aqska_{qs}^kaqsk​ and Their Antibunching Effect
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.