Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space

Abstract

The 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.

10 pages, 3 figures Published in Scientific Reports, http://www.nature.com/articles/srep33381

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• Large Deviations Beyond the Kibble-Zurek Mechanism
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• Out-of-equilibrium dynamics of Bose-Bose mixtures in optical lattices
• Shortcuts to adiabaticity in open quantum critical systems
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