Level splitting induced by collective interaction in a waveguide QED system

In waveguide quantum electrodynamics (QED) systems, noninteracting quantum entities can be coupled through the vacuum field of the waveguide, leading to both coherent and dissipative interactions. We systematically demonstrate that the reflection spectrum is clear and direct in representing the collective interaction using the mirror reflection properties of semi-infinite waveguides. Due to the destructive interference with its mirror image, the emitter is decoupled from the waveguide, suppressing the decay so that the reflection spectrum shows an anticrossing phenomenon induced by coherent interaction. Moreover, the reflection spectrum of an anti-parity-time symmetric Hamiltonian caused by dissipative coupling exhibits an unconventional splitting characterized by level attraction transitioning at exceptional points. Our findings highlight the significance of exploring non-Hermitian effects in waveguide quantum systems, offering potential applications in quantum networks reliant on long-distance interactions. Published by the American Physical Society 2024