We demonstrate the surprising integrability of the classical Hamiltonian associated to a spin 1/2 system under periodic external fields. The one-qubit rotations generated by the dynamical evolution is, on the one hand, close to that of the rotating wave approximation (RWA), on the other hand to two different ``average'' systems, according to whether a certain parameter is small or large. Of particular independent interest is the fact that both the RWA and the averaging theorem are seen to hold well beyond their expected region of validity. Finally we determine conditions for the realization of the quantum NOT operation by means of classical stroboscopic maps.
Emergent prethermal Bethe integrability in a periodically driven Rydberg chain
School of Physical Sciences, Indian Association for the Cultivation of Science（印度科学文化促进协会物理科学学院）；Center for High Energy Physics, Indian Institute of Science（印度科学院高能物理中心）
Nonlocality, Integrability and Quantum Chaos in the Spectrum of Bell Operators
Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences（奥地利科学院量子光学与量子信息研究所）；Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna（维也纳大学物理学院量子科学与技术中心（VCQ））；ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology（巴塞罗那科技研究所光子科学研究所（ICFO））；Universiteit Leiden（莱顿大学）；ETH Zürich（苏黎世联邦理工学院）
Random matrix theory of integrability-to-chaos transition
Theoretische Natuurkunde, Vrije Universiteit Brussel (VUB) and International Solvay Institutes（布鲁塞尔自由大学理论物理系和索尔维国际研究所）；DAMTP, University of Cambridge（剑桥大学应用数学与理论物理系）；High Energy Physics Research Unit, Faculty of Science, Chulalongkorn University（朱拉隆功大学理学院高能物理研究组）
Analytic Spread Complexity from Level Statistics: From Chaos to Integrability
Mandelstam Institute for Theoretical Physics, School of Physics, University of the Witwatersrand（曼德尔斯坦理论物理研究所，物理学系，威特沃特斯兰德大学）；Instituto de Física Teórica UAM/CSIC（UAM/CSIC理论物理研究所）
Integrability of Goldilocks quantum cellular automata
The University of Texas at Austin（德克萨斯大学奥斯汀分校）；JILA, NIST and University of Colorado, Department of Physics, University of Colorado（科罗拉多大学物理系 JILA 研究所（NIST与科罗拉多大学联合））；Dipartimento di Fisica e Astronomia, Università di Bologna and INFN, Sezione di Bologna（博洛尼亚大学物理与天文系及意大利国家核物理研究所博洛尼部分所）；Laboratoire de Probabilités, Statistique et Modélisation CNRS, Université Paris Cité, Sorbonne Université（巴黎西岱大学、索邦大学 CNRS 概率、统计与建模实验室）；Joint Center for Quantum Information and Computer Science, NIST and University of Maryland（马里兰大学与国家标准与技术研究院量子信息与计算科学联合中心）；Institute for Physical Science and Technology, University of Maryland（马里兰大学物理科学与技术学院）；Faculty of Mathematics and Physics, University of Ljubljana（卢布尔雅那大学数学与物理学院）；Institute of Mathematics, Physics, and Mechanics（数学、物理与力学研究所）；Colorado School of Mines（科罗拉多矿业学院）
