Nontrivial topological phases in "Zig-Zag" arrays of polarization transmons

• URL: http://arxiv.org/abs/2510.20557v1
• Date: Thu, 23 Oct 2025 13:39:07 GMT
• Title: Nontrivial topological phases in "Zig-Zag" arrays of polarization transmons
• Authors: Ekaterina Konopleva, Gleb Fedorov, Oleg Astafiev,
• Abstract summary: We propose a superconducting quantum simulator to study an extension of the well-known "Zig-Zag" model.<n>With linearized meta-atoms, we show via electromagnetic modeling that the proposed arrangement closely reproduces the extended "Zig-Zag" model.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 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 towards experimental investigation of the previously inaccessible topological quantum many-body phenomena.

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