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

Fuente: arXiv
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Main Authors: Pavešić, Luka, Di Liberto, Marco, Montangero, Simone
Format: Preprint
Published: 2025
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author Pavešić, Luka
Di Liberto, Marco
Montangero, Simone
author_facet Pavešić, Luka
Di Liberto, Marco
Montangero, Simone
contents 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 $24 \times 24$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_02702
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scattering and induced false vacuum decay in the two-dimensional quantum Ising model
Pavešić, Luka
Di Liberto, Marco
Montangero, Simone
Quantum Physics
Quantum Gases
High Energy Physics - Lattice
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 $24 \times 24$ 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.
title Scattering and induced false vacuum decay in the two-dimensional quantum Ising model
topic Quantum Physics
Quantum Gases
High Energy Physics - Lattice
url https://arxiv.org/abs/2509.02702