Nontrivial Topological Phases in “Zig‐Zag” Arrays of Polarization Transmons

In recent years, quantum simulators of topological models have been extensively studied across a variety of platforms and regimes. A new promising research direction makes use of meta‐atoms with multiple intrinsic degrees of freedom, which to date have been predominantly studied in the classical regime. Here, we propose a superconducting quantum simulator to study an extension of the well‐known “Zig‐Zag” model with long‐range cross‐polarization couplings using polarization transmons hosting degenerate dipole orbitals. We map the phase transitions of the extended “Zig‐Zag” model both numerically and analytically using inverse participation ratios and topological invariants. We demonstrate the existence of in‐gap localized non‐trivial and Tamm edge states. With linearized meta‐atoms, we show via electromagnetic modeling that the proposed arrangement closely reproduces the extended “Zig‐Zag” model. This work paves the way toward experimental investigation of the previously inaccessible topological quantum many‐body phenomena.