Abstract
While designing the energy-momentum relation of photons is key to many linear, non-linear, and quantum optical phenomena, a new set of light-matter properties may be realized by employing the topology of the photonic bath itself. In this work we investigate the properties of superconducting qubits coupled to a metamaterial waveguide based on a photonic analog of the Su-Schrieffer-Heeger model. We explore topologically-induced properties of qubits coupled to such a waveguide, ranging from the formation of directional qubit-photon bound states to topology-dependent cooperative radiation effects. Addition of qubits to this waveguide system also enables direct quantum control over topological edge states that form in finite waveguide systems, useful for instance in constructing a topologically protected quantum communication channel. More broadly, our work demonstrates the opportunity that topological waveguide-QED systems offer in the synthesis and study of many-body states with exotic long-range quantum correlations.
Highlights
Harnessing the topological properties of photonic bands [1,2,3] is a burgeoning paradigm in the study of periodic electromagnetic structures
Here we investigate the properties of quantum emitters coupled to a topological waveguide which is a photonic analog of the SSH model, following the theoretical proposal in Ref. [29]
Note that we find consistent coupling strength of qubit pairs dependent only on their relative displacement, not on the actual location in the array, suggesting that physics inside middle band gap (MBG) remains intact with the introduced waveguide boundaries
Summary
Harnessing the topological properties of photonic bands [1,2,3] is a burgeoning paradigm in the study of periodic electromagnetic structures. With the addition of nontrivial topology to such a photonic bath, exotic classes of quantum entanglement can be generated through photon-mediated interactions of a chiral [27,28] or directional nature [29,30]. With this motivation, here we investigate the properties of quantum emitters coupled to a topological waveguide which is a photonic analog of the SSH model, following the theoretical proposal in Ref. Coupling of qubits to the waveguide allows for quantum control over topological edge states, enabling quantum state transfer between distant qubits via a topological channel
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