论文标题
分裂陷阱中不稳定的Tonks-Girardeau气体的衰减特性
Decay properties of unstable Tonks-Girardeau gases from a split trap
论文作者
论文摘要
我们研究了从双孔潜能中逃脱的tonks-girardeau气体的衰减特性。最初，这些气体在两个无限$δ$屏障之间受到限制，并具有中心$δ$ split的潜力。其中一个障碍的强度突然降低了，颗粒开始隧道到开放空间。使用共振扩展方法，我们得出了$ n $ - 粒子生存概率的单期近似表达式，并在指数和非义务方面都证明了其有效性。我们还预测了平价效应，并在时间演变的不同阶段对其性质提供了物理见解。我们得出的结论是，只有多粒子状态的衰减的初始阶段才能符合指数定律。衰减特性受裂屏障的存在极大的影响。我们的结果揭示了单量子和双量子井中不稳定的Tonks-Girardeau气体的整体衰减机制。
We study the decay properties of Tonks-Girardeau gases escaping from a double-well potential. Initially, the gases are constrained between two infinite $δ$ barriers with an on-center $δ$-split potential. The strength of one of the obstacles is suddenly reduced, and the particles start to tunnel to the open space. Using the resonance expansion method, we derive the single-term approximate expression for the $N$-particle survival probability and demonstrate its effectiveness in both the exponential and nonexponential regimes. We also predict a parity effect and provide physical insights into its nature at different stages of the time evolution. We conclude that only the initial phase of the decay of the many-particle state may comply with an exponential law. The decay properties are dramatically affected by the presence of the split barrier. Our results reveal the overall decay mechanism of unstable Tonks-Girardeau gases from single and double quantum wells.
