PT Journal AU Ferrari, S Kovalyuk, V Hartmann, W Vetter, A Kahl, O Lee, C Korneev, A Rockstuhl, C Gol'tsman, G Pernice, W TI Hot-spot relaxation time current dependence in niobium nitride waveguide-integrated superconducting nanowire single-photon detectors SO Opt. Express JI Opt. Express PY 2017 BP 8739 EP 8750 VL 25 IS 8 DE SSPD; SNSPD; photon counting; Infrared; Quantum detectors; Integrated optics; Multiphoton processes; Photon statistics AB We investigate how the bias current affects the hot-spot relaxation dynamics in niobium nitride. We use for this purpose a near-infrared pump-probe technique on a waveguide-integrated superconducting nanowire single-photon detector driven in the two-photon regime. We observe a strong increase in the picosecond relaxation time for higher bias currents. A minimum relaxation time of (22 +/- 1)ps is obtained when applying a bias current of 50% of the switching current at 1.7 K bath temperature. We also propose a practical approach to accurately estimate the photon detection regimes based on the reconstruction of the measured detector tomography at different bias currents and for different illumination conditions. ER