Quantum simulation of real-time Yukawa dynamics with qubits and qumodes

@misc{araz2026quantum,
  title = {{Quantum simulation of real-time Yukawa dynamics with qubits and qumodes}},
  author = {Jack Y. Araz and Jeffrey Forshaw and Ross Jenkinson},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00201},
  eprint = {2611.00201},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00201},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Quantum simulation of real-time Yukawa dynamics with qubits and qumodes
AU  - Jack Y. Araz
AU  - Jeffrey Forshaw
AU  - Ross Jenkinson
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00201
UR  - https://arxiv.org/abs/2611.00201
AB  - Real-time quantum simulation of field theories offers access to scattering and decay dynamics, circumventing the limitations of Euclidean lattice methods. However, representing bosonic fields on qubits requires a finite-dimensional approximation and can entail costly multi-qubit operations. Hybrid qubit-qumode architectures avoid this by encoding bosonic fields directly in oscillators. We formulate scattering in the (1+1)-dimensional Yukawa theory for such a device, with staggered fermions on qubits and the scalar on qumodes. Trapped ions are a natural candidate, with the fermions on the internal states of the ions and the scalar on their collective motion, so that the Yukawa coupling becomes a native spin-dependent displacement. Emulating the device with tensor networks, we study the decay of a single scalar particle and fermion-antifermion scattering around the resonance region, using observables that can be measured on the device natively. We compare the results with those obtained using lattice perturbation theory. The emulation is able to resolve corrections beyond the Dyson summation of the one-loop self-energy.
ER  -