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Using the density matrix renormalization group technique, we calculatenumerically the low energy excitation spectrum and magnetization curve of thespin-1 antiferromagnetic chain in a staggered magnetic field, which is expectedto describe the physics of $R_2 Ba Ni O_5 (R \neq Y) $ family below the N\'eeltemperature of the magnetic rare-earth ($R$) sublattice. These results arevalid in the entire range of the staggered field, and agree with those given bythe non-linear $\sigma$ model study for small fields, but differ from thelatter for large fields. They are consistent with the available experimentaldata. The correlation functions for this model are also calculated. Thetransverse correlations display the anticipated exponential decay with shortercorrelation length, while the longitudinal correlations show explicitly theinduced staggered magnetization.Comment: 5 pages; 5 eps figures; to appear on Phys. Rev.

Heisenberg spin-1 chain in a staggered magnetic field: A density-matrix-renormalization-group study