Abstract In this paper, we study the effects of Rashba spin-orbit interaction, quantum barrier shape, barrier height, etc. on the spin polarization and less studied superarrival of spin-dependent Gaussian wave-packets propagating through one-dimensional rectangular and inverse parabolic quantum barriers. We show that in some situations the transient inverse parabolic barrier can be regarded as a reflectionless dispersion reducing tool for wave-packet propagation applications. Spin up and down components of the wave-packet have different Superarrivals and they can be tuned by means of the strength of the Rashba parameter. The superarrival effect is also very sensitive to the strength of the nonlinearity and can be eliminated by using a small 0.3 nonlinearity strength. Superarrival depends just on the physical properties of the system and the spin polarization of the incident initial wave packet does not affect it.

中文翻译：

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通过一维矩形和逆抛物线势垒传播的自旋相关波包的超到达和自旋极化：Rashba 自旋轨道相互作用和非线性效应

摘要 在本文中，我们研究了 Rashba 自旋轨道相互作用、量子势垒形状、势垒高度等对自旋极化的影响，而对通过一维矩形和反抛物线传播的自旋相关高斯波包的超到达研究较少。量子势垒。我们表明，在某些情况下，瞬态反抛物线屏障可以被视为波包传播应用的无反射色散减少工具。波包的自旋向上和向下分量具有不同的超到达，它们可以通过 Rashba 参数的强度进行调整。超到达效应对非线性强度也非常敏感，可以通过使用 0.3 的小非线性强度来消除。