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Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux

Population-imbalance instability in a Bose-Hubbard ladder in the presence of a magnetic flux

We consider a two-leg Bose-Hubbard ladder in the presence of a magnetic flux. We make use of Gross-Pitaevskii, Bogoliubov, bosonization, and renormalization group approaches to reveal a structure of ground-state phase diagrams in a weak-coupling regime relevant to cold atom experiments. It is found that except for a certain flux …