Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
arXiv:1403.0413 · doi:10.1088/1367-2630/16/7/073005
Abstract
We consider a Bose-Hubbard ladder subject to an artificial magnetic flux and discuss its different ground states, their physical properties, and the quantum phase transitions between them. A low-energy effective field theory is derived, in the two distinct regimes of a small and large magnetic flux, using a bosonization technique starting from the weak-coupling limit. Based on this effective field theory, the ground-state phase diagram at a filling of one particle per site is investigated for a small flux and for a flux equal to per plaquette. For -flux, this analysis reveals a tricritical point which has been overlooked in previous studies. In addition, the Mott insulating state at a small magnetic flux is found to display Meissner currents.
14 pages, 7 figures; final version
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