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

  • 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 r2 increases the qs squeezing function Δe1(Δo1) exhibits the oscillating phenomenon of increasing-amplitude and increasing period. As m increases and s decreases, the amplitude of Δe1(Δo1) increases greatly. As s decreases, the period of Δe1(Δo1) 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 Δe1(Δo1) 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.
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HUANG Chun-Qing and JIANG Jun-Qin. Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States[J]. Chinese Physics C, 2003, 27(3): 196-199.
HUANG Chun-Qing and JIANG Jun-Qin. Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States[J]. Chinese Physics C, 2003, 27(3): 196-199. shu
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Received: 2002-06-17
Revised: 1900-01-01
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Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

    Corresponding author: HUANG Chun-Qing,
  • Department of Physics, Foshan University, Foshan 528000, China2 Department of Physics, Guangdong Institute of Education, Guangzhou 510303, China

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 r2 increases the qs squeezing function Δe1(Δo1) exhibits the oscillating phenomenon of increasing-amplitude and increasing period. As m increases and s decreases, the amplitude of Δe1(Δo1) increases greatly. As s decreases, the period of Δe1(Δo1) 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 Δe1(Δo1) 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.

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