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We present an extensive numerical study of vortex matter using the mapping to2D bosons and Path-Integral Monte Carlo simulations. We find a first-ordervortex lattice melting transition into an entangled vortex liquid. The jumps inentropy and density are consistent with experimental results on YBCO. Theliquid is denser than the lattice and has a correlation length l_z approx 1.7epsilon a_0 in the direction parallel to the field. In the language of bosonswe find a sharp quantum phase transition from a Wigner crystal to a superfluid,even in the case of logarithmic interaction. We also measure the excitationspectrum of the Bose system and find the roton minimum to be insensitive to therange of the interaction.Comment: RevTeX, 18 pages, 11 figures. Small changes in the text, some  references adde

Numerical study of vortex matter using the Bose model: First-order melting and entanglement