论文标题
谐振量子隧穿中连续状态的复杂密度
Complex density of continuum states in resonant quantum tunneling
论文作者
论文摘要
我们引入了复杂的扩展连续级密度，并将其应用于涉及通过有限范围电位的隧道的一维散射问题。我们表明，密度的实际部分与传输粒子的真实“时移”成正比，而虚部则反映了激体状隧道轨迹的虚时间。我们使用复杂缩放方法确认了几个势的这些假设。特别是，我们表明，电势的固定点产生了真实和假想密度的特定奇异性，这些奇点代表了绑定系统中激发态量子相变的紧密类似物。
We introduce a complex-extended continuum level density and apply it to one-dimensional scattering problems involving tunneling through finite-range potentials. We show that the real part of the density is proportional to a real "time shift" of the transmitted particle, while the imaginary part reflects the imaginary time of an instanton-like tunneling trajectory. We confirm these assumptions for several potentials using the complex scaling method. In particular, we show that stationary points of the potentials give rise to specific singularities of both real and imaginary densities which represent close analogues of excited-state quantum phase transitions in bound systems.
