  We consider the Bose condensation of particles with spin 1/2. The
condensation is driven by an external magnetic field. Our work is motivated by
ideas of quantum critical deconfinement and bosonic spinons in spin liquid
states. We show that both the nature of the novel Bose condensate and the
excitation spectrum are fundamentally different from that in the usual integer
spin case. We predict two massive ("Higgs") excitations and two massless
Goldstone excitations. One of the Goldstone excitations has a linear excitation
spectrum and another has quadratic spectrum. This implies that the Bose
condensate does not support superfluidity, the Landau criterion is essentially
violated. We formulate a "smoking gun" criterion for searches of the novel Bose
condensation.
