Quantum interference and complex photon statistics in waveguide QED

Xin H. H. Zhang, Harold U. Baranger · Physical Review A · 2018

We obtain photon statistics by using a quantum jump approach tailored to a 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, the 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 ${g}^{(2)}(\ensuremath{\tau})$, such as a mixture of bunching and antibunching.

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