Quantum Tunneling-induced Hybridization and Coherent Dynamics of Jackiw-Rebbi Zero Modes in a Modified Su-Schrieffer-Heeger Chain
Abstract
We investigate analytically and numerically the tunneling-induced hybridization and coherent dynamics of Jackiw-Rebbi zero modes in a modified Su-Schrieffer-Heeger (SSH) model. Unlike the conventional SSH model, this modified system possess two bulk gap-closing points, namely the quadratic-type gap-closing point at momenta k0=0 and the Dirac-type gap-closing points at k0=±π/4a. Although the quadratic point does not support a topological domain wall due to the absence of mass inversion, the low-energy Dirac theory around k0=±π/4a predicts an effective mass that changes sign at two spatially separated domain walls under a kink profile, generating a pair of JR bound states with each states localized at one of those domain walls. We show that the finite spatial overlap between the JR zero modes lifts the zero-energy degeneracy through quantum tunneling, producing symmetric-antisymmetric hybridized states. Using an effective two-level description, we demonstrate that hybridized JR modes undergo coherent tunneling oscillations between the two domain walls, accompanied by periodic transfer of sublattice polarization between the (A,C) and (B,D) sectors. Our results establish a unified framework connecting JR zero modes, quantum tunneling, and coherent dynamics in modified SSH systems, offering a promising platform for controllable topological quantum-state transfer in engineered lattice structures.
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BibTeX
@misc{mandal2026quantum,
title = {{Quantum Tunneling-induced Hybridization and Coherent Dynamics of Jackiw-Rebbi Zero Modes in a Modified Su-Schrieffer-Heeger Chain}},
author = {Surajit Mandal},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2607.01344},
eprint = {2607.01344},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.01344},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Tunneling-induced Hybridization and Coherent Dynamics of Jackiw-Rebbi Zero Modes in a Modified Su-Schrieffer-Heeger Chain
AU - Surajit Mandal
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2607.01344
UR - https://arxiv.org/abs/2607.01344
AB - We investigate analytically and numerically the tunneling-induced hybridization and coherent dynamics of Jackiw-Rebbi zero modes in a modified Su-Schrieffer-Heeger (SSH) model. Unlike the conventional SSH model, this modified system possess two bulk gap-closing points, namely the quadratic-type gap-closing point at momenta k_0=0 and the Dirac-type gap-closing points at k_0=±π/4a. Although the quadratic point does not support a topological domain wall due to the absence of mass inversion, the low-energy Dirac theory around k_0=±π/4a predicts an effective mass that changes sign at two spatially separated domain walls under a kink profile, generating a pair of JR bound states with each states localized at one of those domain walls. We show that the finite spatial overlap between the JR zero modes lifts the zero-energy degeneracy through quantum tunneling, producing symmetric-antisymmetric hybridized states. Using an effective two-level description, we demonstrate that hybridized JR modes undergo coherent tunneling oscillations between the two domain walls, accompanied by periodic transfer of sublattice polarization between the (A,C) and (B,D) sectors. Our results establish a unified framework connecting JR zero modes, quantum tunneling, and coherent dynamics in modified SSH systems, offering a promising platform for controllable topological quantum-state transfer in engineered lattice structures.
ER -