SUPERPOSITION OF COHERENT STATES IN KERR MEDIUM

The evolution of the input coherent state in the Kerr medium is studied. Upon the derivation we know that the output state at time t which corresponds to a rational number is Schr?dinger's cat state. Using Fourier integral of the evolution operator, we obtain the integral expression of the output state at time t which corresponds to an irrational number. It is a kind of one-dimensional continuous superposition of coherent states, not an ordinary Schr?dinger's cat state.     

GEOMETRIC PHASES AND SCHR?DINGER''S CAT STATE

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.     

准恒场驱动谐振子的物理特性

研究了准恒场驱动谐振子的物理特必。结果表明，以经典方式描述了驱劝光场的位相发生绝热时，在输出光场中会出现几何位相。考虑了位相变化或不变时输出光场的量子态的演化。发现输出场的光子数振荡么及演化的周期行为。     

“薛定谔猫”—宏观量子叠加态

综述了近年来在量子光学方面关于“薛定谔猫”态的研究进展，包括其渊源，定义，制备，性质和可能的应用，“薛定谔猫”态本质上是两个宏观可区分的态相干叠加，它涉及量子力学的基本问题，对样一个问题进行研究，将有助于对量子力学的解释进行探讨。