We study quantum quenches in the $S=1$ Heisenberg spin chain and show that the dynamics can be described by the recently developed semi-semiclassical method based on particles propagating along classical trajectories but scattering quantum mechanically. We analyze the non-equilibrium time evolution of the distribution of the total spin in half of the system and compare the predictions of the semi-semiclassical theory with those of a non-Abelian time evolving block decimation (TEBD) algorithm which exploits the SU(2) symmetry. We show that while the standard semiclassical approach using the universal low energy scattering matrix cannot describe the dynamics, the hybrid semiclassical method based on the full scattering matrix gives excellent agreement with the first principles TEBD simulation.
Measurement and feedback-driven adaptive dynamics in the classical and quantum kicked top
International Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental Research（国际理论科学中心（ICTS-TIFR），塔塔基础研究所）；Singapore University of Technology and Design（新加坡科技设计大学）；Centre for Quantum Technologies, National University of Singapore（新加坡国立大学量子技术中心）；Department of Physics and Astronomy, Louisiana State University（路易斯安那州立大学物理与天文学系）；Department of Physics and Astronomy, Center for Materials Theory, Rutgers University（罗格斯大学物理与天文学系，材料理论中心）；Ames National Laboratory（艾姆斯国家实验室）；Department of Physics, The Pennsylvania State University（宾夕法尼亚州立大学物理系）；Center for Theory of Emergent Quantum Matter, The Pennsylvania State University（宾夕法尼亚州立大学涌现量子物质理论中心）；Institute for Computational and Data Sciences, The Pennsylvania State University（宾夕法尼亚州立大学计算与数据科学学院）；Materials Research Institute, The Pennsylvania State University（宾夕法尼亚州立大学材料研究所）
