论文标题
量子超振荡器
Quantum Superexponential Oscillator
论文作者
论文摘要
我们研究了量子超振荡器的光谱和本征性特性。我们的重点是最近观察到的相应经典超级振荡器能量依赖性周期的量子特征。我们表明，基态表现出显着的分离，不对称挤压和尾巴发育的变形。分析中心时刻到高阶，从指数衰减的时刻到增加的时刻的特征过渡已被阐明。相应的光谱分析表明，令人惊讶的是，光谱是等距的。然而，更仔细的外观揭示了在过渡点以下的光谱缩放行为，该频谱缩放行为被过渡能量上方的不规则振荡所取代。激发绑定的状态进行分析到连续阈值。我们讨论未来的观点和超级振荡器的可能实现实现。
We investigate the spectral and eigenstate properties of the quantum superexponential oscillator. Our focus is on the quantum signatures of the recently observed transition of the energy dependent period of the corresponding classical superexponential oscillator. We show that the ground state exhibits a remarkable metamorphosis of decentering, asymmetrical squeezing and the development of a tail. Analyzing the central moments up to high order a characteristic transition from exponentially decaying moments to increasing moments is unraveled. A corresponding spectral analysis shows that, surprisingly, to a good approximation the spectrum is equidistant. A closer look, however, reveals a spectral scaling behaviour below the transition point which is replaced by irregular oscillations above the transition energy. Excited bound states are analyzed up to the continuum threshold. We discuss future perspectives and possible experimental realizations of the superexponential oscillator.
