中国物理B ›› 1994, Vol. 3 ›› Issue (2): 92-98.doi: 10.1088/1004-423X/3/2/002

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SQUEEZING PROPERTIES OF q-DEFORMED OSCILLATOR

郭光灿1, 梁九卿2   

  1. (1)Department of Physics, University of Science and Technology of China, Hefei 230026, China; (2)Institute of Theoretical Physics, Department of Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:1993-03-12 出版日期:1994-02-20 发布日期:1994-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

SQUEEZING PROPERTIES OF q-DEFORMED OSCILLATOR

GUO GUANG-CAN (郭光灿)a, LIANG JIU-QING (梁九卿)b   

  1. a Department of Physics, University of Science and Technology of China, Hefei 230026, China; b Institute of Theoretical Physics, Department of Physics, Shanxi University, Taiyuan 030006, China
  • Received:1993-03-12 Online:1994-02-20 Published:1994-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： The q-coherent states are indeed minimum uncertainty states for corresponding q-deformed operators, The time evolution of q-coherent states are given by introducing the q-boson Hamiltoninn analogous to the one for normal bosons. It is shown that initially prepared q-coherent states are no longer the eigenstates of q-annihilation operator during time evolution and eventually become squeezing states. The squeezing properties are studied numerically.

Abstract: The q-coherent states are indeed minimum uncertainty states for corresponding q-deformed operators, The time evolution of q-coherent states are given by introducing the q-boson Hamiltoninn analogous to the one for normal bosons. It is shown that initially prepared q-coherent states are no longer the eigenstates of q-annihilation operator during time evolution and eventually become squeezing states. The squeezing properties are studied numerically.

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
05.30.Jp (Boson systems) 02.10.Ud (Linear algebra)