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Subradiant edge states in an atom chain with waveguide-mediated hopping

McDonnell, Ciaran; Olmos, Beatriz

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Authors

Ciaran McDonnell

Beatriz Olmos



Abstract

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger (SSH) model. However, due to the long-range character of the exchange interactions, we find weakening of the bulk-boundary correspondence. This is illustrated by the variation of the localization length and mass gap of the edge states encountered as we vary the lattice constant and offset between the chains. Most interestingly, we analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size. These edge states are shown to be not only robust against positional disorder of the atoms in the chain, but also subradiant, i.e., dynamically stable even in the presence of inevitable dissipation processes, establishing the capacity of waveguide QED systems for the realization of symmetry protected topological phases.

Citation

McDonnell, C., & Olmos, B. (2022). Subradiant edge states in an atom chain with waveguide-mediated hopping. Quantum, 6, 805. https://doi.org/10.22331/Q-2022-09-15-805

Journal Article Type Article
Acceptance Date Aug 31, 2022
Online Publication Date Sep 15, 2022
Publication Date Sep 15, 2022
Deposit Date Oct 25, 2022
Publicly Available Date Nov 11, 2022
Journal Quantum
Print ISSN 2521-327X
Electronic ISSN 2521-327X
Publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
Peer Reviewed Peer Reviewed
Volume 6
Pages 805
DOI https://doi.org/10.22331/Q-2022-09-15-805
Keywords Physics and Astronomy (miscellaneous); Atomic and Molecular Physics, and Optics
Public URL https://nottingham-repository.worktribe.com/output/11200872
Publisher URL https://quantum-journal.org/papers/q-2022-09-15-805/

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