Experimental Realization of the Rabi-Hubbard Model with Trapped Ions - INSPIRE

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Experimental Realization of the Rabi-Hubbard Model with Trapped Ions

Quanxin Mei
(
- Tsinghua U., Beijing
)
,
Bowen Li
(
- Tsinghua U., Beijing
)
,
Yukai Wu
(
- Tsinghua U., Beijing
)
,
Minglei Cai
(
- Tsinghua U., Beijing
)
,
Ye Wang
(
- Tsinghua U., Beijing
)

Oct 7, 2021

6 pages

Published in:

Phys.Rev.Lett. 128 (2022) 16, 160504

Published: Apr 22, 2022

e-Print:

2110.03227 [quant-ph]

DOI:

10.1103/PhysRevLett.128.160504 (publication)

View in:

ADS Abstract Service

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Abstract: (APS)

Quantum simulation provides important tools in studying strongly correlated many-body systems with controllable parameters. As a hybrid of two fundamental models in quantum optics and in condensed matter physics, the Rabi-Hubbard model demonstrates rich physics through the competition between local spin-boson interactions and long-range boson hopping. Here, we report an experimental realization of the Rabi-Hubbard model using up to 16 trapped ions and present a controlled study of its equilibrium properties and quantum dynamics. We observe the ground-state quantum phase transition by slowly quenching the coupling strength, and measure the quantum dynamical evolution in various parameter regimes. With the magnetization and the spin-spin correlation as probes, we verify the prediction of the model Hamiltonian by comparing theoretical results in small system sizes with experimental observations. For larger-size systems of 16 ions and 16 phonon modes, the effective Hilbert space dimension exceeds

2^{57}

, whose dynamics is intractable for classical supercomputers.

Note:

6 pages, 3 figures + 13 pages, 10 figures

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Figures(13)

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