We theoretically study the dynamics of a transverse-field Ising chain with power-law decaying interactions characterized by an exponent $α$, which can be experimentally realized in ion traps. We focus on two classes of emergent dynamical critical phenomena following a quantum quench from a ferromagnetic initial state: The first one manifests in the time averaged order parameter, which vanishes at a critical transverse field. We argue that such a transition occurs only for long-range interactions $α\leq 2$ . The second class corresponds to the emergence of time-periodic singularities in the return probability to the ground state manifold (a.k.a. Loschmidt echo) which is obtained for all values of $α$ and agrees with the order parameter transition for $α\leq 2$. We characterize how the two classes of nonequilibrium criticality correspond to each other and give a physical interpretation based on the symmetry of the time-evolved quantum states.
Simulating neural network criticality and resource dynamics with Rydberg gases
RPTU University Kaiserslautern-Landau（莱茵兰-普法尔茨技术大学凯泽斯劳滕-兰道分校）；State Research Center OPTIMAS（OPTIMAS州立研究中心）；Max Planck Graduate Center with Johannes Gutenberg University Mainz (MPGC)（美因茨约翰内斯·古腾堡大学马克斯·普朗克研究生院）
Ergodicity breaking meets criticality in a gauge-theory quantum simulator
University of Belgrade（贝尔格莱德大学）；University of Leeds（利兹大学）；Federal University of Rio Grande do Norte（北里奥格兰德联邦大学）；QuEra Computing Inc.（QuEra计算公司）；Ludwig Maximilian University of Munich（慕尼黑路德维希-马克西米利安大学）；Max Planck Institute of Quantum Optics（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与工程中心）；Kyung Hee University（庆熙大学）；Massachusetts Institute of Technology（麻省理工学院）
