中国物理B ›› 1995, Vol. 4 ›› Issue (6): 406-419.doi: 10.1088/1004-423X/4/6/002

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GEOMETRIC PHASES AND SCHR?DINGER'S CAT STATE

吴锦伟, 郭光灿   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • 收稿日期:1994-07-15 出版日期:1995-06-20 发布日期:1995-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and hy the Doctorate program Foundation of Institution of Higher Education of China.

GEOMETRIC PHASES AND SCHR?DINGER'S CAT STATE

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿)   

  1. Department of Physics, University of Science and Technology of China, Hefei 230026, China
  • Received:1994-07-15 Online:1995-06-20 Published:1995-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and hy the Doctorate program Foundation of Institution of Higher Education of China.

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摘要： A matrix method is presented for treating the dynamical phases, adiabatic phases and nonadiabatic phases of quantum superposition states. It is effective for any parameter-varying Hamiltonian system. As two examples, the evolution of mass-varying harmonic oscillator and the evolution of coherent states under parameter-varying displaced operator have been studied, Some new phenomena are obtained in the first case and the possible producing of so-called Schr?dinger's cat state by geometric phases is pointed out. The quantum state useful for the quantum optical verification of Berry's phase is introduced.

Abstract: A matrix method is presented for treating the dynamical phases, adiabatic phases and nonadiabatic phases of quantum superposition states. It is effective for any parameter-varying Hamiltonian system. As two examples, the evolution of mass-varying harmonic oscillator and the evolution of coherent states under parameter-varying displaced operator have been studied, Some new phenomena are obtained in the first case and the possible producing of so-called Schr$\ddot{\rm o}$dinger's cat state by geometric phases is pointed out. The quantum state useful for the quantum optical verification of Berry's phase is introduced.

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Vf (Phases: geometric; dynamic or topological) 42.50.Dv (Quantum state engineering and measurements)