论文标题
卡西米尔力在变形的费米子链上
Casimir forces on deformed fermionic chains
论文作者
论文摘要
我们表征了dirac真空的Casimir力，其自由花环链具有平稳变化的振幅，这对应于（1+1）d弯曲的空间，并在连续限制下具有静态度量。该晶格上障碍物的一阶能量潜力与与度量标准相关的牛顿电位对应，而有限尺寸的校正则通过保形场理论预测的弯曲扩展（包括合适的边界项）来描述。我们表明，对于Minkowski公制的弱变形，由边界处的局部观察者测量的Casimir力是公制的。我们提供了有关（1+1）D变形的结果的数值证据：Minkowski，Rindler，Anti-DE保姆（所谓的彩虹系统）和正弦度量指标。
We characterize the Casimir forces for the Dirac vacuum on free-fermionic chains with smoothly varying hopping amplitudes, which correspond to (1+1)D curved spacetimes with a static metric in the continuum limit. The first-order energy potential for an obstacle on that lattice corresponds to the Newtonian potential associated to the metric, while the finite-size corrections are described by a curved extension of the conformal field theory predictions, including a suitable boundary term. We show that, for weak deformations of the Minkowski metric, Casimir forces measured by a local observer at the boundary are metric-independent. We provide numerical evidence for our results on a variety of (1+1)D deformations: Minkowski, Rindler, anti-de Sitter (the so-called rainbow system) and sinusoidal metrics.
