摘要
A classically chaotic system consisting of a Paul trapped ion and a sequences of standing laser pulses is treated quantum-mechanically. Under the circumstance of time-dependence, we derive the transition probability from the ion's motional state n to n', and find, in the first-order approximation, the classically chaotic character disappears.Theoretical analysis and numerical calculations show that by regulating the phase parameter φ we can control the transition probability. When φ reaches some specific values, the transition from the state n to n' is forbidden and, for some laser periods, resonance occurs, which leads to the corresponding transitions between different motional states.
基金
国家自然科学基金
