Complex Density of Continuum States in Resonant Quantum Tunneling.,Physical Review Letters

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Complex Density of Continuum States in Resonant Quantum Tunneling.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-07-07 , DOI: 10.1103/physrevlett.125.020401
Pavel Stránský ₁ , Milan Šindelka ₂ , Michal Kloc _{1,

3} , Pavel Cejnar ₁

Affiliation

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 instantonlike 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.

中文翻译：

共振量子隧穿中连续态的复数密度。

我们介绍了一个复杂扩展的连续体能级密度，并将其应用于涉及通过有限范围电势隧穿的一维散射问题。我们表明，密度的实部与透射粒子的实际“时间偏移”成正比，而虚部则反映了瞬时形隧穿轨迹的虚部时间。我们使用复杂的比例缩放方法确认了这些假设的几种潜力。特别地，我们表明，电位的固定点会引起实密度和虚密度的特定奇点，这表示绑定系统中激发态量子相变的紧密相似。

更新日期：2020-07-07

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