论文标题
Quasiparticle激发态之间的子系统距离
Subsystem distances between quasiparticle excited states
论文作者
论文摘要
我们研究了自由链和最近的邻居耦合的费米子和玻色链的六颗粒激发态之间的子系统距离，痕量距离和忠诚度，以及Spin-1/2 XXX链的铁磁相。结果支持以下场景：在缩放限制中，当一个激发的准粒子具有较大的能量时，它会使基态解开，而当两个激发的准粒子具有较大的动量差异时，它们彼此之间会脱离。从准粒子图片中，我们获得了通用子系统距离，这些距离在满足大能量和大动量差异条件下同时是有效的，我们的意思是，我们的意思是每个激发的准粒子都具有较大的能量，并且每对激发的Quasiparticles的动量差异很大。在自由的费米和玻色链中，我们使用子系统模式方法并有效地获得子系统距离，如果满足大能量状态，在耦合的费尔米金和玻色链中也有效。此外，在一定限制下，子系统模式方法的子系统距离在XXX链中甚至有效。我们预计结果也可以推广到其他可集成模型。
We investigate the subsystem Schatten distance, trace distance and fidelity between the quasiparticle excited states of the free and the nearest-neighbor coupled fermionic and bosonic chains and the ferromagnetic phase of the spin-1/2 XXX chain. The results support the scenario that in the scaling limit when one excited quasiparticle has a large energy it decouples from the ground state and when two excited quasiparticles have a large momentum difference they decouple from each other. From the quasiparticle picture, we get the universal subsystem distances that are valid when both the large energy condition and the large momentum difference condition are satisfied, by which we mean each of the excited quasiparticles has a large energy and the momentum difference of each pair of the excited quasiparticles is large. In the free fermionic and bosonic chains, we use the subsystem mode method and get efficiently the subsystem distances, which are also valid in the coupled fermionic and bosonic chains if the large energy condition is satisfied. Moreover, under certain limit the subsystem distances from the subsystem mode method are even valid in the XXX chain. We expect that the results can be also generalized for other integrable models.
