  Single-photon avalanche photodiode(SPAD) has been widely used in researching
of quantum optics. Afterpulsing effect, which is an intrinsic character of
SPAD, affects the system performance in most of the experiments and needs to be
carefully handled. For a long time, afterpulsing has been presumed to be
determined by the pre-ignition avalanche. We studied the afterpulsing effect of
a commercial InGaAs/InP SPAD (APD: Princeton Lightwave PGA-300) and
demonstrated that its afterpulsing is non-Markov, which has memory effect of
the avalanching history. Theoretical analysis and the experimental results
clearly indicate that the embodiment of this memory effect is the afterpulsing
probability, which increases as the number of ignition-avalanche pulses
increase. The conclusion makes the principle of afterpulsing effect clearer and
is instructive to the manufacturing processes and afterpulsing evaluation of
high-count-rate SPADs. It can also be regarded as an fundamental premise to
handle the afterpulsing signals in many applications, such as quantum
communication and quantum random number generator.
