Finite-momentum Bose-Einstein condensates in shaken two-dimensional square optical lattices

M.F. Di Liberto, O. Tieleman, V. Branchina, C. de Morais Smith

Research output: Contribution to journalArticleAcademicpeer-review


We consider ultracold bosons in a two-dimensional square optical lattice described by the Bose-Hubbard model. In addition, an external time-dependent sinusoidal force is applied to the system, which shakes the lattice along one of the diagonals. The effect of the shaking is to renormalize the nearest-neighbor-hopping coefficients, which can be arbitrarily reduced, can vanish, or can even change sign, depending on the shaking parameter. Therefore, it is necessary to account for higher-order-hopping terms, which are renormalized differently by the shaking, and to introduce anisotropy into the problem. We show that the competition between these different hopping terms leads to finite-momentum condensates with a momentum that may be tuned via the strength of the shaking. We calculate the boundaries between the Mott insulator and the different superfluid phases and present the time-of-flight images expected to be observed experimentally. Our results open up possibilities for the realization of bosonic analogs of the Fulde, Ferrel, Larkin, and Ovchinnikov phase describing inhomogeneous superconductivity
Original languageEnglish
Article number013607
Number of pages6
JournalPhysical review. A, Atomic, molecular and optical physics
Issue number1
Publication statusPublished - 2011


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