  This paper presents a connection between the topological properties of
hardcore bosons and that of magnons in quantum spin magnets. We utilize the
Haldane-like hardcore bosons on the honeycomb lattice as an example. We show
that this system maps to a spin-$1/2$ quantum XY model with a
next-nearest-neighbour Dzyaloshinsky-Moriya interaction. We obtain the magnon
excitations of the quantum spin model and compute the edge states, Berry
curvature, thermal and spin Nernst conductivities. Due to the mapping from spin
variables to bosons, the hardcore bosons possess the same nontrivial
topological properties as those in quantum spin system. These results are
important in the study of magnetic excitations in quantum magnets and they are
also useful for understanding the control of ultracold bosonic quantum gases in
honeycomb optical lattices, which is experimentally accessible.
