Abstract
Topologically protected states are important in realizing robust excitation transfer between distant sites in photonic lattices. Here, we propose an efficient gap-protected transfer of photons in a scalable one-dimensional waveguide array by transporting the topological defect state of a Su–Schrieffer–Heeger model. The separation between neighboring waveguides is designed according to the Jaynes–Cummings model. As a result, the zero-energy eigenstate is topologically protected from the extended states by a constant energy gap, which leads to a fast and robust excitation transfer. We also show that the transport can be further sped up by the quasi-periodic oscillation induced by the non-adiabatic effect. This scheme has potential applications in scalable quantum information processing.
Highlights
It was proposed by Manin1 and Feynman2 that quantum manybody problems can be simulated by controllable quantum systems.3 Such artificial systems can be used to synthesize exotic phases of matter that are difficult to be realized in natural systems
The nearest-neighbor tunneling between sites is inspired by the exactly solvable two-mode JC model
The efficiency and robustness of the excitation transport are endorsed by the topological defect state between two topological phases of the SSH model
Summary
It was proposed by Manin and Feynman that quantum manybody problems can be simulated by controllable quantum systems. Such artificial systems can be used to synthesize exotic phases of matter that are difficult to be realized in natural systems. We propose an efficient transfer of classical field between distant sites in a scalable SSH photonic lattice by emulating a twomode Jaynes–Cummings (JC) model.. The waveguide arrays, known as photonic lattices, have been widely used to demonstrate novel topological phenomena, including guiding light by artificial gauge fields, topological insulators, and Floquet solitons.. Topologically protected states have been used in several pumping protocols based on coherent transfer by adiabatic passage, thanks to the topological robustness against local imperfection. By slowly changing the separation of waveguides along the propagation direction, the light excitation carried by the topological defect state propagates along the array from the left to the right end. We discuss the topological origin of the zero-energy state and illustrate the adiabatic transport of photons. We compare the fidelity of our scheme with existing schemes
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