  Anyon collision experiments have recently demonstrated the ability to
discriminate between fermionic and anyonic statistics. However, only one type
of anyons associated with the simple Laughlin state at filling factor $\nu=1/3$
has been probed so far. It is now important to establish anyon collisions as
quantitative probes of fractional statistics for more complex topological
orders, with the ability to distinguish between different species of anyons
with different statistics. In this work, we use the anyon collider to compare
the Laughlin $\nu=1/3$ state, which is used as the reference state, with the
more complex Jain state at $\nu=2/5$, where low energy excitations are carried
by two co-propagating edge channels. We demonstrate that anyons generated on
the outer channel of the $\nu=2/5$ state (with a fractional charge $e^*=e/3$)
have a similar behavior compared to $\nu=1/3$, showing the robustness of anyon
collision signals for anyons of the same type. In contrast, anyons emitted on
the inner channel of $\nu=2/5$ (with a fractional charge $e^*=e/5$) exhibit a
reduced degree of bunching compared to the $\nu=1/3$ case, demonstrating the
ability of the anyon collider to discriminate not only between anyons and
fermions, but also between different species of anyons associated with
different topological orders of the bulk. Our experimental results for the
inner channel of $\nu=2/5$ also point towards an influence of interchannel
interactions in anyon collision experiments when several co-propagating edge
channels are present. A quantitative understanding of these effects will be
important for extensions of anyon collisions to non-abelian topological orders,
where several charged and neutral modes propagate at the edge.

Mesoscale and Nanoscale Physics;Strongly Correlated Electrons