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

McDonnell, Ciaran; Olmos, Beatriz

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/