Shannon entropy in quasiparticle states of quantum chains

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Wentao Ye, Jiaju Zhang
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引用次数: 0

Abstract

We investigate the Shannon entropy of the total system and its subsystems, as well as the subsystem Shannon mutual information, in quasiparticle excited states of free bosonic and fermionic chains and the ferromagnetic phase of the spin-1/2 XXX chain. For single-particle and double-particle states, we derive various analytical formulas for free bosonic and fermionic chains in the scaling limit. These formulas are also applicable to certain magnon excited states in the XXX chain in the scaling limit. We also calculate numerically the Shannon entropy and mutual information for triple-particle and quadruple-particle states in bosonic, fermionic, and XXX chains. We discover that Shannon entropy, unlike entanglement entropy, typically does not separate for quasiparticles with large momentum differences. Moreover, in the limit of large momentum difference, we obtain universal quantum bosonic and fermionic results that are generally distinct and cannot be explained by a semiclassical picture.
量子链准粒子态的香农熵
我们研究了自由玻色子链和费米子链的准粒子激发态以及自旋-1/2 XXX 链的铁磁相中整个系统及其子系统的香农熵,以及子系统的香农互信息。对于单粒子和双粒子态,我们推导出了自由玻色和费米子链在缩放极限下的各种分析公式。这些公式也适用于 XXX 链在缩放极限下的某些磁子激发态。我们还数值计算了玻色链、费米子链和 XXX 链中三重粒子态和四重粒子态的香农熵和互信息。我们发现,与纠缠熵不同,香农熵通常不会在动量差异较大的准粒子中分离。此外,在大动量差的极限,我们得到了普遍的量子玻色子和费米子结果,这些结果通常是不同的,无法用半经典图景来解释。
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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