论文标题
调制物质波的瞬态量子拍打，rabi-oscill和延迟时间
Transient quantum beats, Rabi-oscillations and delay-time of modulated matter-waves
论文作者
论文摘要
通过为涉及任意初始量子状态的有限范围电势推导出确切的一般解决方程，探索了相位调制的截止波袋的瞬态现象。我们表明，由于初始状态的相位调制，概率密度的动力学特征由带有能量的虚拟\ textit {自诱导的两级系统}和$ e _ {+} $和$ e _ { - } $控制。渐近概率密度表现出以频率$ω=（e _ {+} - e _ { - }）/\ hbar $独立于潜在配置文件的特征。还发现，对于具有绑定状态的系统，虚拟级别与后者之间的相互作用会导致\ textIt {量子beat}效应，并以节拍频率为$ω$。我们还找到了一个以\ textit {time-diffraction}现象为特征的制度，该现象允许明确测量延迟时间，可以通过精确的分析公式来描述。发现延迟时间仅与严格单色波的情况相符。
Transient phenomena of phase modulated cut-off wavepackets are explored by deriving an exact general solution to Schrödinger's equation for finite range potentials involving arbitrary initial quantum states. We show that the dynamical features of the probability density are governed by a virtual \textit{self-induced two-level system} with energies $E_{+}$, and $E_{-}$, due to the phase modulation of the initial state. The asymptotic probability density exhibits Rabi-oscillations characterized by a frequency $Ω=(E_{+}-E_{-})/\hbar$, which are independent of the potential profile. It is also found that for a system with a bound state, the interplay between the virtual levels with the latter causes a \textit{quantum beat} effect with a beating frequency, $Ω$. We also find a regime characterized by a \textit{time-diffraction} phenomenon that allows to measure unambiguously the delay-time, which can be described by an exact analytical formula. It is found that the delay-time agrees with the phase-time only for the case of strictly monochromatic waves.
