纠缠的冯纽曼熵测量被用于研究球分数霍尔效应。数值计算表明,球分数霍尔效应为最大纠缠态。当系统中粒子数较多时,纠缠度的值(E)可用霍尔效应的填充因子(v)表示:E~log21/v。
The von Neumann entropy measure of entanglement is used to study the fractional quantum Hall effect on the sphere. Numerical results show that the FQHE on the sphere is a maximal entanglement state. While the number of particles in the system 1 is big, the value of the entanglement (E) can be written as the function of the filling factor (v) : E~log21/v.