We consider quantum many-body systems evolving under a time-independent Hamiltonian $H$ from a nonequilibrium initial state at time $t=0$ towards a close-to-equilibrium state at time $t=τ$. Subsequently, this state is slightly perturbed and finally propagated for another time period $τ$ under the inverted Hamiltonian $-H$. The entire procedure may also be viewed as an imperfect time inversion or "echo dynamics". We unravel a remarkable persistence of such dynamics with respect to the observable deviations of the time-dependent expectation values from the equilibrium expectation value: For most perturbations, the deviations in the final state are essentially independent of the inversion time point $τ$. Our quantitative analytical predictions compare very well with exact numerical results.
Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems
All Souls College, Oxford（牛津大学圣灵魂学院）；Rudolf Peierls Centre for Theoretical Physics, University of Oxford（牛津大学鲁道夫·皮尔斯理论物理中心）；TCM Group, Cavendish Laboratory, Ray Dolby Centre, University of Cambridge（剑桥大学卡文迪许实验室雷·多尔比中心TCM小组）
Probing many-body localization crossover in quasiperiodic Floquet circuits on a quantum processor
RIKEN Center for Computational Science（理化学研究所计算科学中心）；RIKEN Center for Quantum Computing（理化学研究所量子计算中心）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences（理化学研究所交叉理论与数学科学中心）；RIKEN Pioneering Research Institute（理化学研究所先驱研究所）；Jožef Stefan Institute（约热·斯特凡研究所）；University of Ljubljana（卢布尔雅那大学）
Inverting multiple quantum many-body scars via disorder
Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences（中国科学院大学理论科学研究所）；CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences（中国科学院大学拓扑量子计算卓越创新中心）
Engineering Quantum Many-Body Scars through Lattice Geometry
Ludwig Maximilian University of Munich（慕尼黑大学）；Arnold Sommerfeld Center for Theoretical Physics (ASC)（阿诺德·索末菲理论物理中心）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）；Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Institute of Physics Belgrade, University of Belgrade（贝尔格莱德大学物理研究所）；College of Science, Kyung Hee University（庆熙大学理学院）
Activity-driven clustering and many-body steady state of jamming run-and-tumble particles
Université Clermont-Auvergne（克莱蒙奥弗涅大学）；CNRS（法国国家科学研究中心）；Laboratoire de Mathématiques Blaise Pascal UMR 6620（布莱斯·帕斯卡数学实验室）；Institut de Mathématiques, Université de Neuchâtel（纳沙泰尔大学数学研究所）
Towers of quantum many-body scars under stochastic resetting
University of Geneva（日内瓦大学）；International Centre for Theoretical Sciences, Tata Institute of Fundamental Research（塔塔基础研究院国际理论科学中心）；ETH Zürich（苏黎世联邦理工学院）
