  Recently, the frustrated XY model for spins-1/2 on the honeycomb lattice has
attracted a lot of attention in relation with the possibility to realize a
chiral spin liquid state. This model is relevant to the physics of some quantum
magnets. Using the flexibility of ultra-cold atoms setups, we propose an
alternative way to realize this model through the Mott regime of the bosonic
Kane-Mele-Hubbard model. The phase diagram of this model is derived using the
bosonic dynamical mean-field theory. Focussing on the Mott phase, we
investigate its magnetic properties as a function of frustration. We do find an
emergent chiral spin state in the intermediate frustration regime. Using exact
diagonalization we study more closely the physics of the effective frustrated
XY model and the properties of the chiral spin state. This gapped phase
displays a chiral order, breaking time-reversal and parity symmetry, but is not
topologically ordered (the Chern number is zero).
