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We have developed an efficient tensor network algorithm for spin ladders,which generates ground-state wave functions for infinite-size quantum spinladders. The algorithm is able to efficiently compute the ground-state fidelityper lattice site, a universal phase transition marker, thus offering a powerfultool to unveil quantum many-body physics underlying spin ladders. To illustrateour scheme, we consider the two-leg and three-leg Heisenberg spin ladders withstaggering dimerization. The ground-state phase diagram thus yielded isreliable, compared with the previous studies based on the density matrixrenormalization group. Our results indicate that the ground-state fidelity perlattice site successfully captures quantum criticalities in spin ladders.

Tensor network states for quantum spin ladders