Non-Hermitian Band Topology and Edge States in Atomic Lattices

• URL: http://arxiv.org/abs/2601.00487v1
• Date: Thu, 01 Jan 2026 21:42:32 GMT
• Title: Non-Hermitian Band Topology and Edge States in Atomic Lattices
• Authors: Wenxuan Xie, John C Schotland,
• Abstract summary: We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling.<n>By deriving an effective non-Hermitian Hamiltonian for the single-excitation sector, we demonstrate that the low-energy dynamics of the system are governed by a Dirac equation with a complex Fermi velocity.
• Score: 4.377925801979894
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling. By deriving an effective non-Hermitian Hamiltonian for the single-excitation sector, we demonstrate that the low-energy dynamics of the system are governed by a Dirac equation with a complex Fermi velocity. We analyze the associated topological invariants for both the SSH and honeycomb models, utilizing synthetic gauge fields to break time-reversal symmetry in the latter. Finally, we explicitly verify the non-Hermitian bulk-edge correspondence by deriving analytical solutions for edge states localized at domain boundaries.

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