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Quantum Simulation of the Static Yukawa Model via Effective Particles on a Trapped-Ion Quantum Simulator

Abstract

Trapped-ion, neutral-atom, and circuit QED quantum computers naturally enable coupled qubit-boson simulations. Boson-fermion interactions arise in quantum field theory, where renormalization is required to obtain finite results. We study one of the simplest examples of a coupled fermion-boson system, the static Yukawa model, on the QSCOUT trapped-ion system. We use similarity renormalization to express the same physics in terms of effective particles described by different values of the renormalization parameter s. This enables us to map data taken in the window of bosonic occupancy that is experimentally accessible to larger occupancies of distinct effective particles. We use this to study strongly coupled, high-occupancy regimes despite limited readout ranges. Using a trapped-ion qubit-boson device on Sandia National Laboratories' QSCOUT platform, we demonstrate the time evolution of the static Yukawa model.

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BibTeX
@misc{wang2026quantum,
  title = {{Quantum Simulation of the Static Yukawa Model via Effective Particles on a Trapped-Ion Quantum Simulator}},
  author = {Qingfeng Wang and Christopher G. Yale and Edward C. Tortorici and Brian K. McFarland and Daniel Lobser and Melissa C. Revelle and Andrew J. Landahl and Susan M. Clark and Peter J. Love},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28453},
  eprint = {2610.28453},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28453},
}
RIS
TY  - UNPB
TI  - Quantum Simulation of the Static Yukawa Model via Effective Particles on a Trapped-Ion Quantum Simulator
AU  - Qingfeng Wang
AU  - Christopher G. Yale
AU  - Edward C. Tortorici
AU  - Brian K. McFarland
AU  - Daniel Lobser
AU  - Melissa C. Revelle
AU  - Andrew J. Landahl
AU  - Susan M. Clark
AU  - Peter J. Love
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28453
UR  - https://arxiv.org/abs/2610.28453
AB  - Trapped-ion, neutral-atom, and circuit QED quantum computers naturally enable coupled qubit-boson simulations. Boson-fermion interactions arise in quantum field theory, where renormalization is required to obtain finite results. We study one of the simplest examples of a coupled fermion-boson system, the static Yukawa model, on the QSCOUT trapped-ion system. We use similarity renormalization to express the same physics in terms of effective particles described by different values of the renormalization parameter s. This enables us to map data taken in the window of bosonic occupancy that is experimentally accessible to larger occupancies of distinct effective particles. We use this to study strongly coupled, high-occupancy regimes despite limited readout ranges. Using a trapped-ion qubit-boson device on Sandia National Laboratories' QSCOUT platform, we demonstrate the time evolution of the static Yukawa model.
ER  -