Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy
Confinement and oscillating deconfinement crossover of two-magnon excitations in quantum spin chains quantified by spin entanglement entropy
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自旋纠缠熵量化的量子自旋链中双磁振子激发的限制和振荡解除限制交叉
DOI：
10.1103/physrevb.105.l220402
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发表时间：
2022-06
影响因子：
3.7
通讯作者：
Li Jian-Xin
中科院分区：
文献类型：
--
作者：
Dong Zhao-Yang;Li Jian-Xin
我们引入自旋纠缠熵(EE)来表征自旋激发。基于具有$N位的铁磁自旋链的Bethe ansatz解，对于单磁振子态、双磁振子束缚态和双磁振子连续统，EES的标度分别为$lnN、lnN+{D}{k}$和$2lnN+D$。束缚态的发散表明，这两个磁子是作为一个新的准粒子出现的。更重要的是，非零截距(${D}_{k}，D$)体现了两个磁振子态的多体效应。特别地，对于束缚态，建立了EES的截距与可观测量--双磁振子距离之间的精确关系。在这种情况下，我们把自旋系统中的双磁振子禁闭通过纠缠随距离的增加来量化，这与粒子物理相似。此外，EES还可以用来研究激发态的演化。当束缚态被浸入交替链的连续体中时，它们经历了一个振荡的限制-解禁闭交叉，表现为EES的振荡和双磁振子距离随链长度的变化。
We introduce the spin entanglement entropy (EE) to characterize spin excitations. The scalings of EEs are elaborated as $lnN, lnN+{D}_{k}$, and $2lnN+D$ for the single-magnon states, two-magnon bound states, and two-magnon continuum, respectively, based on the Bethe ansatz solutions of the ferromagnetic spin chain with $N$ sites. The $lnN$ divergence for the bound states reveals that the two magnons emerge as a new quasiparticle. More importantly, the nonzero intercepts (${D}_{k},D$) embody the many-body effects of two-magnon states. In particular, an exact relation between the intercept of EEs and an observable quantity, the two-magnon distance, is established for the bound states. In such a case, we quantify the two-magnon confinement in a spin system by the increasing entanglement with the distance as a particle physics analog. Moreover, the EEs can also be used to study the evolution of the excitations. When the bound states are immersed in the continuum in the alternating chain, they undergo an oscillating confinement-deconfinement crossover, shown by the oscillations of the EEs and two-magnon distance with the chain length.
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DOI：
10.1063/1.4822511
发表时间：
1998-09
期刊：
Computers in Physics
影响因子：
--
作者：
M. Karbach;G. Muller
通讯作者：
M. Karbach;G. Muller
影响因子：
19.6
作者：
W. L. Tan;P. Becker;F. Liu;G. Pagano;K. Collins;A. De;Lei Feng;H. Kaplan;A. Kyprianidis;Rex Lundgren;W. Morong;Seth Whitsitt;A. Gorshkov;C. Monroe
通讯作者：
W. L. Tan;P. Becker;F. Liu;G. Pagano;K. Collins;A. De;Lei Feng;H. Kaplan;A. Kyprianidis;Rex Lundgren;W. Morong;Seth Whitsitt;A. Gorshkov;C. Monroe
影响因子：
19.6
作者：
Jiang, Hong-Chen;Wang, Zhenghan;Balents, Leon
通讯作者：
Balents, Leon
影响因子：
19.6
作者：
M. Greiter
通讯作者：
M. Greiter
影响因子：
1.3
作者：
LUTTINGER, JM
通讯作者：
LUTTINGER, JM