论文标题
在远程自由用链中的对称分辨的纠缠
Symmetry-resolved entanglement in a long-range free-fermion chain
论文作者
论文摘要
我们研究了在远程耦合存在下纠缠的对称性分辨率。为此，我们研究了对称性分辨的纠缠熵，处于费米子链的基础状态，该链的近距离跳跃以功率样衰减幅度（Su-Schrieffer-Heeger模型的远距离概括）降低了远距离跳。这是一个保留颗粒数量的系统。每个对称扇区的熵是通过降低密度矩阵的带电矩计算的。我们利用了不连续符号生成的块toeplitz决定因素的一些最新结果，以分析带电矩的渐近行为和对对称性分辨的大子系统的对称分辨熵。在领先的顺序下，我们发现纠缠式的焦点，但是与短距离对应物相比，其破裂以不同的顺序发生，这确实取决于跳跃振幅。
We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings with power-like decaying amplitude -- a long-range generalisation of the Su-Schrieffer-Heeger model. This is a system that preserves the number of particles. The entropy of each symmetry sector is calculated via the charged moments of the reduced density matrix. We exploit some recent results on block Toeplitz determinants generated by a discontinuous symbol to obtain analytically the asymptotic behaviour of the charged moments and of the symmetry-resolved entropies for a large subsystem. At leading order we find entanglement equipartition, but comparing with the short-range counterpart its breaking occurs at a different order and it does depend on the hopping amplitudes.
