Title: Bosonic integer quantum Hall effect as topological pumping,
Abstract: Based on a quasi-one-dimensional limit of quantum Hall states on a thin
torus, we construct a model of interaction-induced topological pumping which
mimics the Hall response of the bosonic integer quantum Hall (BIQH) state. The
quasi-one-dimensional counterpart of the BIQH state is identified as the
Haldane phase composed of two-component bosons which form effective spin-$1$
degrees of freedom. An adiabatic change between the Haldane phase and trivial
Mott insulators constitute {\it off-diagonal} topological pumping in which the
translation of the lattice potential for one component induces a current in the
other. The mechanism of this pumping is interpreted in terms of changes in
polarizations between symmetry-protected quantized values.