We investigate the effect of a magnetic field on a bosonic ladder. We show
that such a system leads to the one-dimensional equivalent of a vortex latt
ice in a superconductor. We investigate the physical properties of the vort
ex phase, such as vortex density and vortex correlation functions, and show
that magnetization has plateaus for some commensurate values of the magnet
ic field. The lowest plateau corresponds to a true Meissner to vortex trans
ition at a critical field H-c1 that exists although the system has no long-
range superconducting order, Implications for experimental realizations suc
h as Josephson-junction arrays are discussed.