Squeezing Property of the States Generated by the Excitation on the SU<SUB>q</SUB>(1,1) Even and Odd q-Coherent States

JIANG Jun-Qin

Chinese Physics C> 2002, Vol. 26> Issue(8) : 786-790

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

JIANG Jun-Qin ^,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

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Abstract：
The squeezing property of states generated by the excitation on the SU_q(1,1) even and odd q coherent states (a+mqα>eq and a+m qα>oq) is numerically studied. It is shown that for small q, the state a+m qα>eq and state a+mqα>oq can exhibit strong q squeezing, and as r² increases the q squeezing function Δe1(Δo1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δe1(Δo1) increases greatly. As q decreases, the period of Δe1(Δo1) increases but is independent of m.

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JIANG Jun-Qin. Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(8): 786-790.

JIANG Jun-Qin. Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(8): 786-790. shu

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Received: 2001-12-11
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Corresponding author: JIANG Jun-Qin,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

Received Date: 2001-12-11

Accepted Date: 1900-01-01

Available Online: 2002-08-05

Abstract: The squeezing property of states generated by the excitation on the SU_q(1,1) even and odd q coherent states (a+mqα>eq and a+m qα>oq) is numerically studied. It is shown that for small q, the state a+m qα>eq and state a+mqα>oq can exhibit strong q squeezing, and as r² increases the q squeezing function Δe1(Δo1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δe1(Δo1) increases greatly. As q decreases, the period of Δe1(Δo1) increases but is independent of m.

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

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

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

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

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

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