无限长程多体 Floquet 自旋系统中可精确求解的动力学与可积性特征
量子物理
2024-01-17 v2 其他凝聚态物理
混沌动力学
可精确求解与可积系统
摘要
我们研究具有无限长程伊辛相互作用并受外磁场周期脉冲作用的 个量子比特。我们解析求解了 到 个量子比特的情形，求得其特征系统、各类初态的纠缠动力学以及幺正演化算符。这些量展现出量子可积性的特征。对于 个量子比特的普遍情形，我们基于简并谱、时间演化幺正算符与纠缠动力学的精确周期性等数值证据，提出了关于量子可积性的猜想。利用线性熵，我们表明对于一类初态未纠缠态，纠缠呈现出周期性的最大值与零值。
引用
@article{arxiv.2307.14122,
title = {Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system},
author = {Harshit Sharma and Udaysinh T. Bhosale},
journal= {arXiv preprint arXiv:2307.14122},
year = {2024}
}
备注
5 pages (two-column) + 26 pages (one-column) + 3 figures. This is a substantially improved version of the previous manuscript, arXiv:2307.14122v1 [quant-ph]. There, we wrongly claimed that the semiclassical limit exists for k=j*pi. In the revised manuscript, the results are interpreted as a spin chain, and it does not have a semiclassical limit. This version is now accepted in Physical Review B