Chinese Physics C

Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

Huang Chun

Published Jan 1, 2003• 0 citations

Abstract

The squeezing property of the excited odd qs coherent state a +m qs α o qs and excited even qs coherent state a +m qs α e qs is numerically studied. It is shown that: (1) When the q(q≤1 ) or s is far from 1, the state a +m qs α o qs and state a +m qs α e qs exhibit strong qs squeezing, and as r 2 increases the qs squeezing function Δ e 1( Δ o 1) exhibits the oscillating phenomenon of increasing amplitude and increasing period. As m increases and s decreases, the amplitude of Δ e 1( Δ o 1) increases greatly. As s decreases, the period of Δ e 1( Δ o 1) increases but is independent of m. The m can be regard as the third parameter for controling the qs squeezing. (2) In general, the qs squeezing function Δ e 1( Δ o 1) is more sensitive to s than to q . That is, it is more resultful to control the qs squeezing by adjusting the parameter s than by adjusting the parameter q .

Related papers

Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

Jun Jiang

The squeezing property of states generated by the excitation on the SU q (1,1) even and odd q coherent states ( a +m qα e q and a +m qα o q ) is numerically studied. It is shown that for small q , the state a +m qα e q and state a +m qα o q can exhibit strong q squeezing, and as r 2 increases the q squeezing function Δ e 1( Δ o 1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δ e 1( Δ o 1) increases greatly. As q decreases, the period of Δ e 1( Δ o 1) increases but is independent of m .

Chinese Physics CJan 1, 20020 citations

Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States

Jun Jiang

The excited odd qs-coherent state and excited even qs-coherent state are constructed. The q , s , and m dependences of the antibunching effect are numerically studied. It is shown that for small r , the excited even qs-coherent state exhibits strong antibunching effect but the even qs-coherent state exhibits strong bunching effect; When the q ( q ≤ 1) is far from 1, as r2 increase, the second-order qs-correlation function exhibits oscillating phenomenon (i.e. alternates between antibunching effect and bunching effect) , whose amplitude and period increase as s and q decrease, but are approximately independent of m; When q→1, the second-order qs-correlation function also exhibits oscillating phenomenon, whose amplitude and period not only increase as 5 decreases but also are dependent on m; In general, the second-order qs -correlation function is more sensitive to s than to q .

Chinese Physics CJan 1, 20030 citations

Properties of Amplitude Nthpower Squeezing of Even and Odd qsCoherent States

Ji‐Suo Wang

By using the numerical method, the properties of the amplitude Nthpower squeezing of the even and odd qscoherent states are studied. It is shown that these even and odd qscoherent states are very different from the usual even and odd states. It is found that the Nthpower (N=2m+1,m=0,1,2,…) squeezing appears for both the even and odd qscoherent states in some ranges of the parameters q,s and r. The smaller the q and s,the larger the difference between the even and odd qscoherent states and the usual even and odd coherent states.

中国激光(英文版)Jan 1, 19970 citations

Quantum Statistical Properties of Even and Odd qs -Coherent States

Wang Jisuo, Sun Chang-yong

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.

Communications in Theoretical PhysicsSep 15, 19971 citation

The Properties of Generalized Even and Odd Coherent States of a q-Deformation Non-harmonic Oscillator

Hong‐Mei Zou

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.

Journal of Jishou UniversityDec 1, 20000 citations

Statistic Properties of the Excited Even and Odd q-Coherent States

Jun Jiang

In this paper, the excited odd q-coherent state a +m qα o q and excited even q-coherent state a +m qα e q are constructed. The q and m dependences of mean photon number and sub-Poissonian character and antibunching effect are numerically studied. It is shown that when the q is far from 1, the second-order q-correlation function exhibits oscillating phenomenon, whose amplitude and period are independent of m; but the mean photon number and the Mandel Q q parameter increase greatly as m increases; and the sub-Poissonian character is not equivalent to the antibunching effect unless q→1.

Chinese Physics CJan 1, 20020 citations