Related papers: Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory

Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory

URL: http://arxiv.org/abs/2512.07748v1
Date: Mon, 08 Dec 2025 17:34:53 GMT
Title: Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory
Authors: Alan Kahan, Pablo Viñas, Torsten V. Zache, Alejandro Bermudez,
Abstract summary: We study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system.<n>Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions.
Score: 39.146761527401424
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We propose and analyze a trapped-ion quantum simulator of the Jackiw-Rebbi model, a paradigmatic quantum field theory in (1+1) dimensions where solitonic excitations of a scalar field can bind fermionic zero modes leading to fractionally charged excitations. In our approach, the scalar field is a coarse-grained description of the planar zigzag ion displacements in the vicinity of a structural phase transition. The internal electronic states of the ions encode spins with interactions mediated by the transverse phonons and in-plane spin-phonon couplings with a zigzag pattern, which together correspond to a Yukawa-coupled Dirac field. Instead of assuming a fixed soliton background, we study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system. We start by applying a Born-Oppenheimer approximation to obtain an effective Peierls-Nabarro potential for the topological kink, unveiling how the fermionic back-reaction can lead to localization of the kink. Beyond this limit, a truncated Wigner approximation combined with fermionic Gaussian states captures the quantum spreading and localization of a kink and kink-antikink scattering. Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions, predicting experimentally accessible signatures in current trapped-ion architectures.

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