Higher-order topological phase of interacting photon pairs

Abstract

Topological phases open a door to such intriguing phenomena as unidirectional propagation and disorder-resilient localization at a stable frequency. Recently discovered higher-order topological phases further extend the concept of topological protection enabling versatile control over localization in multiple dimensions. Motivated by the recent advances in quantum technologies such as large coherently operating qubit ensembles, we predict and investigate the higher-order topological phase of entangled photon pairs emerging due to the effective photon-photon interaction. Being feasible for state-of-the-art experimental capabilities, the designed model provides an interesting example of interaction-induced topological transitions in the few-particle two-dimensional system.

References in corpus (13)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Scheme to Achieve Silicon Topological Photonics
• Topological Acoustics
• Strong quantum computational advantage using a superconducting quantum processor
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Repulsively bound atom pairs in an optical lattice
• Spectral signatures of many-body localization with interacting photons
• Non-standard Hubbard models in optical lattices: a review
• Nonlinear second-order photonic topological insulators
• Two-particle states in the Hubbard model
• Two-body physics in the Su-Schrieffer-Heeger model
• Topological two-body bound states in the interacting Haldane model
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array

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• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement