Supporting Kibble-Zurek Mechanism in Quantum Ising Model through a Trapped Ion
Chang-Kang Hu, Jin‐Ming Cui, Yun‐Feng Huang, Zhao Wang, Dong-Yang Cao, Jian Wang, Wei-Min Lv, Yong Lu, Le Luo, Adolfo del Campo, Yong‐Jian Han, Chuan‐Feng Li, Guang‐Can Guo · Bulletin of the American Physical Society · 2016
Department of Physics, University of Massachusetts Boston, 100 Morrissey Boulevard, Boston, MA 02125(Dated: May 22, 2015)Progress in quantum simulation has fostered the research on far-from-equilibrium dynamics. TheKibble-Zurek mechanism is the paradigmatic framework to account for the non adiabatic criticaldynamics of a system driven across a phase transition in a nite time. Its study in the quantumregime is hindered by the requisite of ground state cooling. We report the experimental quantumsimulation of critical dynamics in the transverse- eld Ising model by a set of non-equilibrium pro-cesses in the pseudo-momentum space, that can be probed with high accuracy using a single trappedion. Our results support the validity of the Kibble-Zurek mechanism in the quantum regime andadvance the quantum simulation of critical systems far-away from equilibrium.I. INTRODUCTION