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Acta Physica Sinica (Overseas Edition), 1995, Vol. 4(6): 406-419    DOI: 10.1088/1004-423X/4/6/002
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GEOMETRIC PHASES AND SCHR?DINGER'S CAT STATE

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿)
Department of Physics, University of Science and Technology of China, Hefei 230026, China
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.
Received:  15 July 1994      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.Vf (Phases: geometric; dynamic or topological)  
  42.50.Ar  
  42.50.Dv (Quantum state engineering and measurements)  
Fund: Project supported by the National Natural Science Foundation of China and hy the Doctorate program Foundation of Institution of Higher Education of China.

Cite this article: 

WU JIN-WEI (吴锦伟), GUO GUANG-CAN (郭光灿) GEOMETRIC PHASES AND SCHR?DINGER'S CAT STATE 1995 Acta Physica Sinica (Overseas Edition) 4 406

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