arXiv 1105.04042011-05-02quant-ph

超越偶极区的Casimir排斥

Casimir repulsion beyond the dipole regime

Alexander P. McCauley, Alejandro W. Rodriguez, M. T. Homer Reid, Steven G. Johnson

备注：: 7 pages, 5 figures

摘要：

我们推广了以前的结果[物理评论快报。105，090403（2010）]关于卡西米尔排斥在具有孔的板和在其上居中的圆柱体之间的几何形状，其中中心物体不再可以被视为点偶极子。我们通过数值计算表明，随着板和中心物体之间的距离减小，有一个中间的制度，其中的排斥力显着增加。除此之外，随着分离进一步减小到零，力迅速切换到吸引力，与接近力近似一致。我们证明，这种效果可以被理解为之间的竞争增加的排斥力，由于一个更大的极化率的中心对象与增加边缘附近的板的边缘场相互作用，和吸引力主要是由于板的非零厚度。与我们之前的工作相比，我们发现，使用相同的板几何形状，但用圆柱环或更一般地说是延伸的单轴导体取代单个圆柱，排斥力可以增强大约$10^3$的系数。我们的结论是，这种增强，虽然相当戏剧性的，仍然太小，产生可检测的排斥卡西米尔力。

英文摘要：

We extend a previous result [Phys. Rev. Lett. 105, 090403 (2010)] on Casimir repulsion between a plate with a hole and a cylinder centered above it to geometries in which the central object can no longer be treated as a point dipole. We show through numerical calculations that as the distance between the plate and central object decreases, there is an intermediate regime in which the repulsive force increases dramatically. Beyond this, the force rapidly switches over to attraction as the separation decreases further to zero, in line with the proximity force approximation. We demonstrate that this effect can be understood as a competition between an increased repulsion due to a larger polarizability of the central object interacting with increased fringing fields near the edge of the plate, and attractive forces due primarily to the nonzero thickness of the plate. In comparison with our previous work, we find that using the same plate geometry but replacing the single cylinder with a ring of cylinders, or more generally an extended uniaxial conductor, the repulsive force can be enhanced by a factor of approximately $10^3$. We conclude that this enhancement, although quite dramatic, is still too small to yield detectable repulsive Casimir forces.

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