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Chinese Physics C

Antibunching effect of eigenstates of the operator b K Q- in a Q-deformed non-harmonic oscillator

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

Published Jun 1, 2002• 0 citations
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Abstract

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.

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Communications in Theoretical Physics•Jun 15, 1997•0 citations
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.
The antibunching properties for the eigenstates of the Kth powers (K≥3) of the annihilation operator of the q-deformed non-harmonic oscillator are investigated. The numerical method is used to study the properties influenced by the parameter q. The results show that the eigenstates exhibit antibunching effects in a number of intervals of x=β2, which reflects the intensity of the non-harmonic oscillator in q-deformation generalized coherent state. The effects are evidently influenced by the parameter q. When q is taken values departure from 1 greatly, these intervals become larger, and shift toward the positive x direction.
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.
The antibunching effect for the eigenstates of the q deformed annihilation operator a k q(k ≥3) is investigated. Using the numerical method, we have studied the influences of the q parameter deformation on the effect in the case of k =3. The results show that the eigenstates of a k q exhibit antibunching effect when x=|z| 2, i.e. the intensity of the oscillator in q deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q . When the intensity of the q deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.
Eigenstates of the Operator aqska_{qs}^kaqsk​ and Their Antibunching Effect