Hermitian and non-Hermitian topology from photon-mediated interactions

Federico Roccati (), Miguel Bello, Zongping Gong, Masahito Ueda, Francesco Ciccarello, Aurélia Chenu and Angelo Carollo
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Federico Roccati: University of Luxembourg
Miguel Bello: Hans-Kopfermann-Straße 1
Zongping Gong: Hans-Kopfermann-Straße 1
Masahito Ueda: The University of Tokyo
Francesco Ciccarello: Dipartimento di Fisica e Chimica-Emilio Segrè
Aurélia Chenu: University of Luxembourg
Angelo Carollo: Dipartimento di Fisica e Chimica-Emilio Segrè

Nature Communications, 2024, vol. 15, issue 1, 1-10

Abstract: Abstract As light can mediate interactions between atoms in a photonic environment, engineering it for endowing the photon-mediated Hamiltonian with desired features, like robustness against disorder, is crucial in quantum research. We provide general theorems on the topology of photon-mediated interactions in terms of both Hermitian and non-Hermitian topological invariants, unveiling the phenomena of topological preservation and reversal, and revealing a system-bath topological correspondence. Depending on the Hermiticity of the environment and the parity of the spatial dimension, the atomic and photonic topological invariants turn out to be equal or opposite. Consequently, the emergence of atomic and photonic topological boundary modes with opposite group velocities in two-dimensional Hermitian topological systems is established. Owing to its general applicability, our results can guide the design of topological systems.

Date: 2024
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DOI: 10.1038/s41467-024-46471-w

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