论文标题
经典偶极 - 偶极相互作用系统中的光锥
Light Cones in Classical Dipole-Dipole Interacting Systems
论文作者
论文摘要
此处讨论了磁相互作用沿经典偶极子链传播的速度。在量子信息中，长期相互作用的旋转对应物，而信息的传播速度起着至关重要的作用，但尚不清楚是否存在光锥是否存在，在这里我们提供了数值证据表明，交互的偶极子确实在触发后不久就具有线性光锥。具体而言，发生幂律的扩展，随后是相关相互作用的线性传播。与量子案例相比，与所谓的重力问题相比，我们发现信息的传播速度在经典背景下可以任意大。为了同意特殊的相对论，我们提出了独立于框架的Landau-Lifshitz方程的推导。
The speed at which the magnetic interaction propagates along a chain of classic dipoles is discussed here. While in the quantum information counterpart for long-range interacting spins, where the speed of propagation of the information plays a paramount role, it is not strictly clear whether a light cone exists or not, here we provide numerical evidence that interacting dipoles do posses a linear light cone shortly after a perturbation takes place. Specifically, a power-law expansion occurs which is followed by a linear propagation of the associated interaction. As opposed to the quantum case, and in analogy with the so-called speed of gravity problem, we find that the speed of propagation of information can be arbitrarily large in the classic context. In order to agree with special relativity, we propose the derivation of a frame-independent Landau-Lifshitz equation.
