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Prediction of a gapless topological Haldane liquid phase in a one-dimensional cold polar molecular lattice

Prediction of a gapless topological Haldane liquid phase in a one-dimensional cold polar molecular lattice

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that ${\ensuremath{\sum}}_{i}({S}_{i}^{z}){}^{2}$ is conserved, leading to a unique topological liquid phase in one dimension, which can …