Spinor bosons realization of the SU(3) Haldane phase with adjoint representation

Beijing Weak Magnetic Detection and Applied Engineering Technology Research Center, School of Mathematics and Physics, and Institute of Theoretical Physics, University of Science and Technology Beijing - Beijing 100083, China

Received: 8 September 2025
Accepted: 6 January 2026

Abstract

The Haldane phase with local SU(3) adjoint representation constitutes the simplest non-trivial symmetry-protected topological phases in the SU Heisenberg spin chains. In this paper, we propose to realize this phase by a two-species spinor Bose gas, with each species labeling the quark or antiquark states of SU(3) symmetry. In the strong-coupling limit, we determine the ground-state phase diagram, and identify a quantum phase transition from the Haldane phase to a dimer phase. We show how to characterize the Haldane phase through its edge excitations. We also explain the physics at the dimer phase, by constructing an explicit ground-state ansatz at the dimer point.