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Peer-reviewedCC BY-NC-NDNature Communications

Scattering and induced false vacuum decay in the two-dimensional quantum Ising model

5 affiliations
  1. 1Department of Physics and Astronomy "G. Galilei", University of Padova, Padova, Italy. [email protected]
  2. 2Section of Padova, National Institute for Nuclear Physics (INFN), Padova, Italy. [email protected]
  3. 3Department of Physics and Astronomy "G. Galilei", University of Padova, Padova, Italy
  4. 4Padua Quantum Technologies Research Center, University of Padova, Padova, Italy
  5. 5Section of Padova, National Institute for Nuclear Physics (INFN), Padova, Italy

Abstract

We study scattering in the quantum Ising model in two dimensions. In the ordered phase, the spectrum contains a ladder of bound states and intertwined scattering resonances, which enable various scattering channels. By preparing wave packets on a 24 × 24 lattice and evolving the state with tensor networks, we explore and characterize these regimes, ranging from elastic scattering in the perturbative regime, to non-perturbative processes closer to the critical point. Then, we break the spin inversion symmetry and study the stability of the metastable false vacuum state on the collision of its excitations. We find that a highly-energetic scattering process can induce a violent decay of the false vacuum, and investigate the spread of the resulting true vacuum bubble. Spin chains enable quantum simulation of scattering-related phenomena of interest for highenergy- and condensed-matter-physics, yet current approaches are limited to low dimensional cases. Here, the authors address this gap by studying magnon scattering in 2D quantum Ising models via tree tensor networks. This unveils new resonances and induced false vacuum decay dynamics.

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BibTeX
@article{pavesic2026scattering,
  title = {{Scattering and induced false vacuum decay in the two-dimensional quantum Ising model}},
  author = {Luka Pavešič and Marco Fedele Di Liberto and Simone Montangero},
  journal = {Nature Communications},
  year = {2026},
  month = may,
  doi = {10.1038/s41467-026-73056-6},
  url = {https://doi.org/10.1038/s41467-026-73056-6},
  note = {CC BY-NC-ND},
}
RIS
TY  - JOUR
TI  - Scattering and induced false vacuum decay in the two-dimensional quantum Ising model
AU  - Luka Pavešič
AU  - Marco Fedele Di Liberto
AU  - Simone Montangero
PY  - 2026
DA  - 2026/05/19
JO  - Nature Communications
DO  - 10.1038/s41467-026-73056-6
UR  - https://doi.org/10.1038/s41467-026-73056-6
AB  - We study scattering in the quantum Ising model in two dimensions. In the ordered phase, the spectrum contains a ladder of bound states and intertwined scattering resonances, which enable various scattering channels. By preparing wave packets on a 24 × 24 lattice and evolving the state with tensor networks, we explore and characterize these regimes, ranging from elastic scattering in the perturbative regime, to non-perturbative processes closer to the critical point. Then, we break the spin inversion symmetry and study the stability of the metastable false vacuum state on the collision of its excitations. We find that a highly-energetic scattering process can induce a violent decay of the false vacuum, and investigate the spread of the resulting true vacuum bubble. Spin chains enable quantum simulation of scattering-related phenomena of interest for highenergy- and condensed-matter-physics, yet current approaches are limited to low dimensional cases. Here, the authors address this gap by studying magnon scattering in 2D quantum Ising models via tree tensor networks. This unveils new resonances and induced false vacuum decay dynamics.
SN  - 2041-1723
ER  -