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:
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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