Quantum dynamics of Gaudin magnets
Quantum dynamics of Gaudin magnets
复制标题
高丁磁铁的量子动力学
DOI：
10.1088/1572-9494/ac53a4
复制
发表时间：
2022-01
影响因子：
3.1
通讯作者：
Xi-Wen Guan
中科院分区：
文献类型：
--
作者：
Wen-Bin He;Stefano Chesi;H.-Q. Lin;Xi-Wen Guan
多体系统的量子动力学是一个既有理论意义又有实验意义的研究课题。一个孤立的多体系统如何在突然扰动或猝灭后演化到稳态的问题仍然是一个具有挑战性的问题。本文利用Bethe波函数研究了非均匀Gaudin磁体的量子动力学。我们推导出显式的解析表达式的各种本地动态量与任意数量的翻转浴自旋，如：自旋分布函数，自旋自旋相关函数，和Loschirst回声。我们还数值研究了这些动力学性质的弛豫行为，获得了相当大的洞察力，中心自旋和浴之间的相干性和纠缠。特别地，我们发现自旋-自旋关联通过近似对数标度松弛到其稳定值，而Loschirton回波显示指数松弛到其稳定值。我们的结果推进了对Gaudin型长程相互作用模型的弛豫动力学和量子关联的理解。
Quantum dynamics of many-body systems is a fascinating and significant subject for both theory and experiment. The question of how an isolated many-body system evolves to its steady state after a sudden perturbation or quench still remains challenging. In this paper, using the Bethe ansatz wave function, we study the quantum dynamics of an inhomogeneous Gaudin magnet. We derive explicit analytical expressions for various local dynamic quantities with an arbitrary number of flipped bath spins, such as: the spin distribution function, the spin-spin correlation function, and the Loschmidt echo. We also numerically study the relaxation behavior of these dynamic properties, gaining considerable insight into coherence and entanglement between the central spin and the bath. In particular, we find that the spin-spin correlations relax to their steady value via a nearly logarithmic scaling, whereas the Loschmidt echo shows an exponential relaxation to its steady value. Our results advance the understanding of relaxation dynamics and quantum correlations of long-range interacting models of Gaudin type.
DOI：
10.1017/cbo9781139207249.009
发表时间：
2012
期刊：
--
影响因子：
--
作者：
W. Marsden
通讯作者：
W. Marsden
DOI：
10.22323/1.008.0016
发表时间：
2002-12
期刊：
--
影响因子：
--
作者：
X. Guan;A. Foerster;J. Links;Huan-Qiang Zhou
通讯作者：
X. Guan;A. Foerster;J. Links;Huan-Qiang Zhou