Emergent spatial symmetry and the intermanifold avoided crossing of a spin-1 lattice gas in the intermediate interaction regime
Phys. Rev. A 113, 013318 – Published 12 January, 2026
DOI: https://doi.org/10.1103/lmy7-c4mt
Abstract
Spinor lattice atomic gases, composed of ultracold spinor atoms in optical lattices, have been well investigated in the strong and weak interaction regimes, between which an intermediate regime still exists. We focus on the low-filling spin-1 lattice gas in the intermediate interaction regime for low-lying eigenstates and demonstrate that, for one thing, the system can still be decomposed into the spin and charge sectors like in the strong interaction regime and, for another, the energy detuning between the two sectors is lowered, which activities the intersector coupling. The two-sector decomposition endows the system with emergent inversion symmetry in the spin and charge sectors for the low-lying eigenstates, as well as a multimanifold structure in the eigenenergy spectrum. The intersector coupling introduces the energetic overlap between different manifolds in the eigenenergy spectrum, as well as the intermanifold avoided crossings, which take place between accidentally degenerate eigenstates from different manifolds. The emergent symmetry can further affect the dynamics at the avoided crossings and holds the potential for controlling spin dynamics in spinor lattice gases.
