Probing critical behavior of long-range transverse-field Ising model through quantum Kibble-Zurek mechanism

• URL: http://arxiv.org/abs/2208.03060v2
• Date: Fri, 30 Dec 2022 15:23:06 GMT
• Title: Probing critical behavior of long-range transverse-field Ising model through quantum Kibble-Zurek mechanism
• Authors: B.-W. Li and Y.-K. Wu and Q.-X. Mei and R. Yao and W.-Q. Lian and M.-L. Cai and Y. Wang and B.-X. Qi and L. Yao and L. He and Z.-C. Zhou and L.-M. Duan
• Abstract summary: We report the quantum simulation of a long-range transverse-field Ising model using up to 61 ions. We realize the same model for increasing ion numbers, so as to extract a critical exponent free of the finite size effect. For the ferro-magnetic interaction, our experimental result agrees well with the previous numerical predictions.
• Score: 0.20366111013063795
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The trapped ion quantum simulator has demonstrated qualitative properties of different physical models for up to tens of ions. In particular, a linear ion chain naturally hosts long-range Ising interactions under the laser driving, which has been used for various phenomena such as quantum phase transition, localization, thermalization and information propagation. For near-term practical usage, a central task is to find more quantitative applications of the noisy quantum simulators that are robust to small errors in the parameters. Here we report the quantum simulation of a long-range transverse-field Ising model using up to 61 ions and probe the critical behavior of its quantum phase transition through the Kibble-Zurek mechanism. By calibrating and verifying the coupling coefficients, we realize the same model for increasing ion numbers, so as to extract a critical exponent free of the finite size effect. For ferromagnetic interaction, our experimental result agrees well with the previous numerical predictions. As for the anti-ferromagnetic case, signals are too weak to fit a critical exponent due to the frustration in the interaction, but still consistent with the theory.

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