Q变形非简谐振子湮没算符高次幂本征态的反聚束效应

Antibunching Effect of Eigenstates of the Operator b_(Q^-)~K in a Q-Deformed Non-harmonic Oscillator

引入了一种量子反聚束效应 ,研究了Q变形非简谐振子湮没算符K次幂(K≥ 3 )的K个本征态的量子反聚束效应 ,探讨了这些本征态的物理意义 .结果表明 ,这K个本征态均可呈现量子反聚束效应 ,它们都可由不同时刻依赖于时间的Q变形非简谐振子广义相干态的线性叠加而生成 .

We introduce a quantum antibunching effect. The quantum antibunching effect of the K eigenstates of the K th powere ( K ≥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.