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

Fuente: arXiv
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Main Authors: Konopleva, Ekaterina, Fedorov, Gleb, Astafiev, Oleg
Format: Preprint
Published: 2025
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author Konopleva, Ekaterina
Fedorov, Gleb
Astafiev, Oleg
author_facet Konopleva, Ekaterina
Fedorov, Gleb
Astafiev, Oleg
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20557
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nontrivial topological phases in "Zig-Zag" arrays of polarization transmons
Konopleva, Ekaterina
Fedorov, Gleb
Astafiev, Oleg
Quantum Physics
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.
title Nontrivial topological phases in "Zig-Zag" arrays of polarization transmons
topic Quantum Physics
url https://arxiv.org/abs/2510.20557