Internal Structure and Squeezing Properties of Some Macroscopic Quantum States

LIANG Mai-Lin; LI Yu-Rong

Chinese Physics C> 2003, Vol. 27> Issue(1) : 19-23

Internal Structure and Squeezing Properties of Some Macroscopic Quantum States

LIANG Mai-Lin ^, ,
LI Yu-Rong

Department of Applied Physics,School of Science,Tianjin University, Tianjin 300072,China

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Abstract：
Coherent states and the extension to the even and odd coherent states, and further to the eigenstates of the higher power of the annihilation operator are basic and important macroscopic quantum states in quantum field theory. Recently, these investigations have been extended to the aharmonic oscillator and the quantum algebra with q -deformed or qs-deformed commutation relations. In this paper,the orthogonal eigenstates of the higher order of the annihilation operator of the q-deformed aharmonic oscillator are also derived. It is pointed out that these different macroscopic quantum states have similar squeezing properties of higher order amplitude. The reason is found that the orthogonal eigenstates of the higher order of the annihilation operator of the harmonic oscillator, the q-deformed oscillator, the qs -deformed oscillator, the Enharmonic oscillator and the q-deformed anharmonic oscillator all have even and odd structure, which is similar to the simple even and odd coherent states. For other systems like the system with SU(1,1) Lie algebra or q-deformed quantum algebra also have such properties.

References

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LIANG Mai-Lin and LI Yu-Rong. Internal Structure and Squeezing Properties of Some Macroscopic Quantum States[J]. Chinese Physics C, 2003, 27(1): 19-23.

LIANG Mai-Lin and LI Yu-Rong. Internal Structure and Squeezing Properties of Some Macroscopic Quantum States[J]. Chinese Physics C, 2003, 27(1): 19-23. shu

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Received: 2002-04-12
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Internal Structure and Squeezing Properties of Some Macroscopic Quantum States

Corresponding author: LIANG Mai-Lin,

Department of Applied Physics,School of Science,Tianjin University, Tianjin 300072,China

Received Date: 2002-04-12

Accepted Date: 1900-01-01

Available Online: 2003-01-05

Abstract: Coherent states and the extension to the even and odd coherent states, and further to the eigenstates of the higher power of the annihilation operator are basic and important macroscopic quantum states in quantum field theory. Recently, these investigations have been extended to the aharmonic oscillator and the quantum algebra with q -deformed or qs-deformed commutation relations. In this paper,the orthogonal eigenstates of the higher order of the annihilation operator of the q-deformed aharmonic oscillator are also derived. It is pointed out that these different macroscopic quantum states have similar squeezing properties of higher order amplitude. The reason is found that the orthogonal eigenstates of the higher order of the annihilation operator of the harmonic oscillator, the q-deformed oscillator, the qs -deformed oscillator, the Enharmonic oscillator and the q-deformed anharmonic oscillator all have even and odd structure, which is similar to the simple even and odd coherent states. For other systems like the system with SU(1,1) Lie algebra or q-deformed quantum algebra also have such properties.

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Internal Structure and Squeezing Properties of Some Macroscopic Quantum States

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