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Acta Physica Sinica

ON NONCLASSICAL PROPERTIES OF EVEN AND ODD q-COHERENT STATES

Zhu Cong-xu, Fa-Bo Wang, Kuang Le-Man

Published Jan 1, 1994• 2 citations
Publisher

Abstract

摘要 运用数值计算方法研究了ｑ畸变对奇偶ｑ相干态量子统计特性的影响。发现奇偶ｑ相干态（ｑ－ＣＳｓ）与通常的奇偶相干态有着显著不同的量子统计特性。压缩现象在这两种畸变态下均可呈准周期性地出现；反聚束和聚束现象都可在一定条件下的两种畸变态中出现。奇偶ｑ相干态与通常奇偶相干态的差异随ｑ值偏离１越大而越大。 Abstract We use the numerical method to study the influences of q deformation on the quantum statistical properties of even and odd q-coherent states (E一。q-C Ss).It is shown that nonclassical properties of E-0 q-CSs are very different from those of the usual even and odd coherent states (ECSs, OCSs). It is found that squeezing effect appears for both even and odd q-CSs and has quasiperiodicity, and the antibunching effect may appear for even q-CSs but disappear for odd q-CSs in some range of the parameters q and r. 作者及机构信息 朱从旭2, 王发伯1, 匡乐满1 (1)湖南师范大学物理系,高等科学技术中心(世界实验室); (2)中南工业大学研究生处 Authors and contacts ZHU CONG-XU2, WANG FA-BO1, KUANG LE-MAN1 (1)湖南师范大学物理系,高等科学技术中心(世界实验室); (2)中南工业大学研究生处 参考文献 施引文献

DOI
10.7498/aps.43.1262

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摘要 运用数值计算方法研究了ｑ畸变对奇偶ｑ相干态量子统计特性的影响。发现奇偶ｑ相干态（ｑ－ＣＳｓ）与通常的奇偶相干态有着显著不同的量子统计特性。压缩现象在这两种畸变态下均可呈准周期性地出现；反聚束和聚束现象都可在一定条件下的两种畸变态中出现。奇偶ｑ相干态与通常奇偶相干态的差异随ｑ值偏离１越大而越大。 Abstract We use the numerical method to study the influences of q deformation on the quantum statistical properties of even and odd q-coherent states (E一。q-C Ss).It is shown that nonclassical properties of E-0 q-CSs are very different from those of the usual even and odd coherent states (ECSs, OCSs). It is found that squeezing effect appears for both even and odd q-CSs and has quasiperiodicity, and the antibunching effect may appear for even q-CSs but disappear for odd q-CSs in some range of the parameters q and r. 作者及机构信息 朱从旭2, 王发伯1, 匡乐满1 (1)湖南师范大学物理系,高等科学技术中心(世界实验室); (2)中南工业大学研究生处 Authors and contacts ZHU CONG-XU2, WANG FA-BO1, KUANG LE-MAN1 (1)湖南师范大学物理系,高等科学技术中心(世界实验室); (2)中南工业大学研究生处 参考文献 施引文献
In this paper, we use the numerical method to study the influences of and deformations on the quantum statistical properties of even and odd qs-coherent states. It is shown that nonclassical properties of the even and odd qs-coherent states are very different from those of the usual even and odd coherent states. It is found that squeezing and antibunching effect appear for both even and odd qs-coherent states in some range of the parameters , and . The smaller the and are, the larger the difference between the even and odd qs-coherent states and the usual even and odd coherent states is.
The generalized even and odd coherent states of a q-Deformation Non-harmonic Oscillator(E-O q-NHCSs) are constructed,their Higher-Order Squeezing and Antibunching Properties are studied in detail.It is increasing the Squeezing effect in different parameter ranges.With q-deformation increasing,the squeezing effect of E q-NHCSs are weakened and those of O q-NHCSs are enhanced.The E q-NHCSs appear high-order(N≥2) antibunching properties while the O q-NHCSs appear high-order bunching properties in some ranges of the parameter q and r 2 with the q-deformation increasing.Both antibunching effects of E q-NHCSs and bunching effects of O q-NHCSs are enhanced.
The generalized even and odd coheren t states (E-O CSs) of a finite-dimensional space non-harmonic oscillator are c onstructed,and their nonclassical properties are studied by numerical method.It is found that,compare to a infinite-dimensional space,with the dimensions numbe r reducing,the unusual squeezing phenomenon is seaken in both generalized E-O C Ss,the unusual antibunching phenomenon in generalized ECSs is enhanced.And the range of appearing unusual antibunching phenomenon is reduced but the degree of antibunching effect is enhanced in generalized OCSs.
A new kind of even and odd nonlinear coherent states are defined. Using the numerical method, we have studied quantum statistical properties of the new even and odd nonlinear coherent states. It is shown that quantum statistical properties of the new even and odd nonlinear coherent states are very different from those of the usual even and odd coherent states. It is found that, in some ranges of 1beta1, the squeezing only exists in the new even nonlinear coherent state, and the amplitude-squared squeezing and antibunching effect appear for both new even and odd nonlinear coherent states.
We used the numerical method to study nonclassical properties of the even and odd generalized coherent states and superposition states of generalized coherent states for an isotonic oscillator. The following was shown. (1) The quantum statistical properties of the even and odd generalized coherent states are very different from those of the usual even and odd coherent states, and the N th-order ( N = 2 m + 1, m = 0,1,2,...) squeezing and sub-Poisson distribution appear alternately for both the even and odd generalized coherent states in some ranges of z = |β| 2 . The weaker the isotonic oscillator potential, the narrower the ranges. (2) The superposition states of generalized coherent states may exhibit the N th-order squeezing effect too, and this kind of higher-order squeezing effect appears periodically.