The Jaynes–Cummings model plays an important role in quantum entanglement and state measurements.Here,we discuss how to realize it in a waveguide-mediated interaction system,which comprises a giant atom and a resonator.We show the vacuum Rabi splitting and discuss how to achieve a unidirectional transport.We extend the Purcell effect in c QED to this waveguide QED system,showing how to control the giant atom decay rate.Our design can further be built experimentally and has application in quantum manipulation.
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