Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session V01: Poster Session III (4:00-6:00pm, EDT)
4:00 PM,
Thursday, June 2, 2022
Room: Grand Ballroom C
Abstract: V01.00118 : Quantum simulation of Hubbard-type model with trapped ions*
Presenter:
Bowen Li
(Tsinghua University)
Authors:
Bowen Li
(Tsinghua University)
Quanxin Mei
(Tsinghua University)
Yukai Wu
(Tsinghua University)
Minglei Cai
(Tsinghua University)
Ye Wang
(Tsinghua University)
Lin Yao
(Tsinghua University)
Zichao Zhou
(Tsinghua University)
Luming Duan
(Tsinghua University)
Here we report the quantum simulation of RH and JCH model with trapped Yb ions.We perform quantum simulation of the RH model for the first time with up to 16 ions and explore its equilibrium phase transition and quantum dynamical properties using spin observables. Then we focused on the change from the Markovian to non-Markovian dynamics by tuning the frequency of the spins into different locations of the phonon spectrum in JCH model. We further adjust the effective dimension of the system via the ion number and the excitation number, up to 32 ions 32 excitations, and observe that the non-Markovian dynamics persists for large systems. Compared with the spin models where phonons are only virtually excited, our inclusion of phonon modes greatly enlarges the effective dimension of the Hilbert space and thus demonstrates quantum simulation results that are intractable for the available classical computers.
*This work is supported by Beijing Academy of Quantum Information Sciences, Frontier Science Center for Quantum Information of the Ministry of Education of China, Tsinghua University Initiative Scientific Research Program and the start-up fund from Tsinghua University.
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