Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913432971771904 |
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| author | Lamb, Christopher Tang, Yicheng Davis, Robert Roy, Ananda |
| author_facet | Lamb, Christopher Tang, Yicheng Davis, Robert Roy, Ananda |
| contents | Quantum simulation has the potential to be an indispensable technique for the investigation of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In the modern quantum era, with Noisy Intermediate Scale Quantum~(NISQ) simulators widely available and larger-scale quantum machines on the horizon, it is natural to ask: what non-perturbative QFT problems can be solved with the existing quantum hardware? We show that existing noisy quantum machines can be used to analyze the energy spectrum of a large family of strongly-interacting 1+1D QFTs. The latter exhibit a wide-range of non-perturbative effects like `quark confinement' and `false vacuum decay' which are typically associated with higher-dimensional QFTs of elementary particles. We perform quench experiments on IBM's ibmq_mumbai quantum simulator to compute the energy spectrum of 1+1D quantum Ising model with a longitudinal field. The latter model is particularly interesting due to the formation of mesonic bound states arising from a confining potential for the Ising domain-walls, reminiscent of t'Hooft's model of two-dimensional quantum chromodynamics. Our results demonstrate that digital quantum simulation in the NISQ era has the potential to be a viable alternative to numerical techniques such as density matrix renormalization group or the truncated conformal space methods for analyzing QFTs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_03311 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator Lamb, Christopher Tang, Yicheng Davis, Robert Roy, Ananda Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Experiment Quantum simulation has the potential to be an indispensable technique for the investigation of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In the modern quantum era, with Noisy Intermediate Scale Quantum~(NISQ) simulators widely available and larger-scale quantum machines on the horizon, it is natural to ask: what non-perturbative QFT problems can be solved with the existing quantum hardware? We show that existing noisy quantum machines can be used to analyze the energy spectrum of a large family of strongly-interacting 1+1D QFTs. The latter exhibit a wide-range of non-perturbative effects like `quark confinement' and `false vacuum decay' which are typically associated with higher-dimensional QFTs of elementary particles. We perform quench experiments on IBM's ibmq_mumbai quantum simulator to compute the energy spectrum of 1+1D quantum Ising model with a longitudinal field. The latter model is particularly interesting due to the formation of mesonic bound states arising from a confining potential for the Ising domain-walls, reminiscent of t'Hooft's model of two-dimensional quantum chromodynamics. Our results demonstrate that digital quantum simulation in the NISQ era has the potential to be a viable alternative to numerical techniques such as density matrix renormalization group or the truncated conformal space methods for analyzing QFTs. |
| title | Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator |
| topic | Quantum Physics Mesoscale and Nanoscale Physics High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2303.03311 |