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

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.

11 pages. 6 figures. Comments are welcome

References in corpus (14)

• Non-Abelian Anyons and Topological Quantum Computation
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Kitaev chains with long-range pairing
• Experimentally Detecting Quantized Zak Phases without Chiral Symmetry in Photonic Lattices
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Anisotropy in scattering of light from an atom into the guided modes of a nanofiber
• Propagation of nanofiber-guided light through an array of atoms
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Quantum correlations of localized atomic excitations in a disordered atomic chain
• Dephasing enhanced strong Majorana zero modes in 2D and 3D higher-order topological superconductors
• Driven anti-Bragg subradiant states in waveguide quantum electrodynamics
• Stochastic strong zero modes and their dynamical manifestations
• Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata

Cited by in corpus (7)

• Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
• Multiple polaritonic edge states in a Su-Schrieffer-Heeger chain strongly coupled to a multimode cavity
• Modified dipole-dipole interactions in the presence of a nanophotonic waveguide
• Topological photon pumping in quantum optical systems
• Many-Body Entanglement in Solid-State Emitters
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Polarization-dependent topology in quantum emitter chains