Subsystem distances between quasiparticle excited states

Subsystem distances between quasiparticle excited states
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准粒子激发态之间的子系统距离

DOI:
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发表时间:
2022
影响因子:
5.4
通讯作者:
M. Rajabpour
M. Rajabpour
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Jiaju Zhang;M. Rajabpour

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我们研究了子系统 Schatten 距离、迹线距离以及自由和最近邻耦合费米子和玻色子链的准粒子激发态与自旋 1/2 XXX 链的铁磁相之间的保真度。结果支持这样一种情况:在标度极限下,当一个受激准粒子具有较大能量时,它会与基态解耦;而当两个受激准粒子具有较大动量差时,它们会彼此解耦。从准粒子图中,我们得到了当大能量条件和大动量差条件都满足时有效的通用子系统距离,这意味着每个受激准粒子具有大的能量并且每对受激准粒子的动量差很大。在自由费米子链和玻色子链中,我们使用子系统模态方法,有效地得到了子系统距离,在满足大能量条件的情况下,该子系统距离在耦合费米子链和玻色子链中也有效。而且,在一定限制下,子系统距离模式方法在XXX链中甚至是有效的。我们期望结果也可以推广到其他可积模型。
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.
DOI: 10.1063/1.5098892
发表时间: 2019
影响因子: 1.3
作者:
Castro-Alvaredo O
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DOI: 10.1103/prxquantum.2.040340
发表时间: 2021-07
期刊: PRX Quantum
影响因子: 9.7
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通讯作者: Jonah Kudler-Flam;Vladimir Narovlansky;S. Ryu
DOI: 10.1007/jhep10(2018)039
发表时间: 2018
影响因子: 5.4
作者:
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通讯作者: Castro-Alvaredo O
DOI: 10.1007/jhep11(2019)058
发表时间: 2019
影响因子: 5.4
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DOI: 10.1088/1742-5468/2014/09/p09025
发表时间: 2014
期刊: Theory and Experiment
影响因子: --
作者:
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通讯作者: Calabrese P