Cui, Jin-MingHuang, Yun-FengWang, ZhaoCao, Dong-YangWang, JianLv, Wei-MinLuo, Ledel Campo, AdolfoHan, Yong-JianLi, Chuan-FengGuo, Guang-Can2017-05-172017-05-172016-09-16Cui, J.-M., Huang, Y.-F., Wang, Z., Cao, D.-Y., Wang, J., Lv, W.-M., … Guo, G.-C. (2016). Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space. Scientific Reports, 6, 33381. http://doi.org/10.1038/srep33381https://hdl.handle.net/1805/12586The Kibble-Zurek mechanism is the paradigm to account for the nonadiabatic dynamics of a system across a continuous phase transition. Its study in the quantum regime is hindered by the requisite of ground state cooling. We report the experimental quantum simulation of critical dynamics in the transverse-field Ising model by a set of Landau-Zener crossings in pseudo-momentum space, that can be probed with high accuracy using a single trapped ion. We test the Kibble-Zurek mechanism in the quantum regime in the momentum space and find the measured scaling of excitations is in accordance with the theoretical prediction.en-USAttribution-NonCommercial-NoDerivs 3.0 United StatesIonsKibble-Zurek mechanismQuantum physicsExperimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum spaceArticle