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arXiv · 2605.11823

Adiabatic Quantum Simulation of the Topological Su--Schrieffer--Heeger--Hubbard Model

Ssu-Yi Chen·Bo-Hung Chen·Dah-Wei Chiou·Jie-Hong Roland Jiang
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Abstract

We develop an adiabatic quantum simulation framework on gate-based quantum computers to probe topological signatures of the one-dimensional fermionic Su--Schrieffer--Heeger--Hubbard (SSHH) model. We present explicit quantum-circuit constructions for initial-state preparation and time evolution, together with a practical measurement protocol and classical post-processing procedure for extracting the many-body Berry phase and the spatial profile of the sublattice polarization. Using classical simulations of the proposed circuits, we demonstrate -- for the first time within a genuine many-body framework -- that the topological characteristics of the SSH model remain robust against weak Hubbard interactions but eventually break down as the chiral-symmetry-breaking component of the interaction exceeds a threshold. The required qubit number, gate complexity, measurement shots, and classical pre- and post-processing costs all scale polynomially with system size. Our results provide a proof-of-concept framework for probing topological properties of interacting many-body systems via adiabatic quantum simulation on future large-scale quantum computers.

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Ssu-Yi Chen, Bo-Hung Chen, Dah-Wei Chiou, Jie-Hong Roland Jiang. 2026-05-12. Adiabatic Quantum Simulation of the Topological Su--Schrieffer--Heeger--Hubbard Model. https://arxiv.org/abs/2605.11823

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