  We show that tunneling involving bosonic wires and/or boson integer quantum
Hall (bIQH) edges is characterized by universal features which are absent in
their fermionic counterparts. Considering a pair of minimal geometries, we find
a low energy enhancement and a universal high versus zero energy relation for
the tunnel conductance that holds for all wire/bIQH edge combinations. Features
distinguishing bIQH edges include a current imbalance to chemical potential
bias ratio that is quantized despite the lack of conductance quantization in
the bIQH edges themselves. The predicted phenomena require only initial states
to be thermal and thus are well suited for tests with ultracold bosons forming
wires and bIQH states. For the latter, we highlight a potential realization
based on single component bosons in the recently observed Harper-Hofstadter
bandstructure.
