论文标题
非依赖主义Casimir效应对晶格的残余物
Remnants of the nonrelativistic Casimir effect on the lattice
论文作者
论文摘要
CASIMIR效应是量子场的零点能引起的基本量子现象。它是具有线性分散关系的相对论领域众所周知的，而其存在或缺乏具有二次分散的非派系主义领域的存在是一个尚未确定的问题。在这里，我们研究了Casimir在晶格上的各种分散关系的影响。我们发现，与偶数动量的分散效应的casimir效应在很长的距离内不存在，但Casimir效应的残余在短距离内存活。这种残留的Casimir效应将在晶格上具有量子场（例如薄膜，狭窄的纳米骨和短纳米线）的材料中进行实验观察。就这种效果而言，我们还重新解释了Casimir对大型领域的效果。
The Casimir effect is a fundamental quantum phenomenon induced by the zero-point energy for a quantum field. It is well-known for relativistic fields with a linear dispersion relation, while its existence or absence for nonrelativistic fields with a quadratic dispersion is an unsettled question. Here, we investigate the Casimir effects for various dispersion relations on the lattice. We find that Casimir effects for dispersions proportional to an even power of momentum are absent in a long distance but a remnant of the Casimir effect survives in a short distance. Such a remnant Casimir effect will be experimentally observed in materials with quantum fields on the lattice, such as thin films, narrow nanoribbons, and short nanowires. In terms of this effect, we also give a reinterpretation of the Casimir effect for massive fields.
