# Quantum Interference and Complex Photon Statistics in Waveguide QED. (arXiv:1710.01543v3 [quant-ph] UPDATED)

system in which one or two qubits are coupled to a one-dimensional waveguide.

Photons confined in the waveguide have strong interference effects, which are

shown to play a vital role in quantum jumps and photon statistics. For a single

qubit, for instance, bunching of transmitted photons is heralded by a jump that

increases the qubit population. We show that the distribution and correlations

of waiting times offer a clearer and more precise characterization of photon

bunching and antibunching. Further, the waiting times can be used to

characterize complex correlations of photons which are hidden in

$g^{(2)}(\tau)$, such as a mixture of bunching and antibunching.