Dynamical Schwinger Production of Dipole--Antidipole Pairs in a Fractonic Lattice
Abstract
We investigate field-induced excitation production from the unit-filled Mott background of a one-dimensional dipole-conserving Bose--Hubbard chain driven by a periodic quadratic potential, realizing a time-dependent rank-two electric field. Unlike protocols that manipulate pre-existing dipolar or fractonic excitations, we address their production from an initially Mott-like state without prepared dipolar or fractonic excitations. A single correlated hop directly nucleates the compact |030⟩ configuration at the atomic energy 3U, while a lower manifold derived from 2U contains spatially resolved dipole--antidipole configurations. Exact diagonalization shows that finite hopping turns this lower manifold into a dispersive band whose finite-chain edge lies substantially below the compact 3U scale. Despite this lower energetic edge, its normalized odd-harmonic spectral weight is perturbatively suppressed as (J/U)2, reflecting virtual hybridization of the initial and final eigenstates. A consistent second-order treatment of the |1111⟩↔|0220⟩ channel includes diagonal self-energy shifts and predicts a weak-field resonance displacement confirmed by exact time evolution. Extended-chain dynamics shows genuine dipole--antidipole separation together with redistribution into higher-energy many-body sectors. The resulting mechanism provides a condensed-matter analogue of multiphoton dynamical Schwinger production in which exact dipole conservation replaces mobile opposite charges by mobile opposite dipoles, while isolated fractonic charges remain immobile.
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BibTeX
@misc{muniz2026dynamical,
title = {{Dynamical Schwinger Production of Dipole--Antidipole Pairs in a Fractonic Lattice}},
author = {Celio R. Muniz and R. N. Costa Filho},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24415},
eprint = {2609.24415},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24415},
}
RIS
TY - UNPB
TI - Dynamical Schwinger Production of Dipole--Antidipole Pairs in a Fractonic Lattice
AU - Celio R. Muniz
AU - R. N. Costa Filho
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2609.24415
UR - https://arxiv.org/abs/2609.24415
AB - We investigate field-induced excitation production from the unit-filled Mott background of a one-dimensional dipole-conserving Bose--Hubbard chain driven by a periodic quadratic potential, realizing a time-dependent rank-two electric field. Unlike protocols that manipulate pre-existing dipolar or fractonic excitations, we address their production from an initially Mott-like state without prepared dipolar or fractonic excitations. A single correlated hop directly nucleates the compact |030⟩ configuration at the atomic energy 3U, while a lower manifold derived from 2U contains spatially resolved dipole--antidipole configurations. Exact diagonalization shows that finite hopping turns this lower manifold into a dispersive band whose finite-chain edge lies substantially below the compact 3U scale. Despite this lower energetic edge, its normalized odd-harmonic spectral weight is perturbatively suppressed as (J/U)^2, reflecting virtual hybridization of the initial and final eigenstates. A consistent second-order treatment of the |1111⟩↔|0220⟩ channel includes diagonal self-energy shifts and predicts a weak-field resonance displacement confirmed by exact time evolution. Extended-chain dynamics shows genuine dipole--antidipole separation together with redistribution into higher-energy many-body sectors. The resulting mechanism provides a condensed-matter analogue of multiphoton dynamical Schwinger production in which exact dipole conservation replaces mobile opposite charges by mobile opposite dipoles, while isolated fractonic charges remain immobile.
ER -