01238nas a2200157 4500008004100000245005100041210005000092520077600142100001600918700002100934700002200955700001800977700002300995700002501018856003701043 2018 eng d00aSingle-photon bound states in atomic ensembles0 aSinglephoton bound states in atomic ensembles3 a
We illustrate the existence of single-excitation bound states for propagating photons interacting with N two-level atoms. These bound states can be calculated from an effective spin model, and their existence relies on dissipation in the system. The appearance of these bound states is in a one-to-one correspondence with zeros in the single-photon transmission and with divergent bunching in the second-order photon-photon correlation function. We also formulate a dissipative version of Levinson's theorem for this system by looking at the relation between the number of bound states and the winding number of the transmission phases. This theorem allows a direct experimental measurement of the number of bound states using the measured transmission phases.
1 aWang, Yidan1 aGullans, Michael1 aBrowaeys, Antoine1 aPorto, J., V.1 aChang, Darrick, E.1 aGorshkov, Alexey, V. uhttps://arxiv.org/abs/1809.01147