论文标题
量子控制超出了2D弯曲物质波指南中的绝热状态
Quantum control beyond the adiabatic regime in 2D curved matter-wave guides
论文作者
论文摘要
弯曲几何形状中物质波的传播与纳米系，固态物理结构和原子质中的电子有关。曲率效应通常在绝热极限内解决，并通过有效的潜在作用在颗粒强限制的歧管上进行处理。但是，在实践中可以实现的限制的强度在实践中受到限制，并且绝热近似框架对于相关传播结构的现实设计而言通常过于限制。在这里，我们探索了2D急剧弯曲引导的设计，以使物质波的传播超出绝热状态。弯曲设计使指南组件通过任意角度和任意曲率旋转的连接取决于精确的逆工程技术。与相似大小相似的圆形指南相比，曲面几何形状中完整的2DSchrödinger方程的分辨率表明，我们的方法可产生无反射指南，横向稳定性提高了几个数量级。
The propagation of matter waves in curved geometry is relevant for electrons in nano-wires, solid-state physics structures and atomtronics. Curvature effects are usually addressed within the adiabatic limit and treated via an effective potential acting on the manifold to which the particles are strongly confined. However, the strength of the confinements that can be achieved experimentally are in practice limited, and the adiabatic approximation framework often appears too restrictive for the realistic design of relevant propagation structures. Here, we explore the design of 2D sharply bent wave-guides for the propagation of matter waves beyond the adiabatic regime. The bend design, which enables the connection of guide components rotated by an arbitrary angle and of arbitrary curvatures, rests on an exact inverse-engineering technique. The resolution of the full 2D Schrödinger equation in curved geometry shows that our method yields reflectionless guides with a transverse stability improved by several orders of magnitude when compared to circular guides of similar size.
