Drut Joaquín E, Porter William J
Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599, USA.
Phys Rev Lett. 2015 Feb 6;114(5):050402. doi: 10.1103/PhysRevLett.114.050402. Epub 2015 Feb 4.
The positivity of the probability measure of attractively interacting systems of 2N-component fermions enables the derivation of an exact convexity property for the ground-state energy of such systems. Using analogous arguments, applied to path-integral expressions for the entanglement entropy derived recently, we prove nonperturbative analytic relations for the Rényi entropies of those systems. These relations are valid for all subsystem sizes, particle numbers, and dimensions, and in arbitrary external trapping potentials.
2N 分量费米子吸引相互作用系统概率测度的正性，使得能够推导此类系统基态能量的精确凸性性质。利用类似的论证方法，应用于最近推导的纠缠熵的路径积分表达式，我们证明了这些系统的 Rényi 熵的非微扰解析关系。这些关系对于所有子系统大小、粒子数、维度以及任意外部捕获势均有效。
