Finite-momentum Bose-Einstein condensates in shaken 2D square optical lattices

Abstract

We consider ultracold bosons in a 2D 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. It is therefore necessary to account for higher-order hopping terms, which are renormalized differently by the shaking, and 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 new possibilities for the realization of bosonic analogs of the FFLO phase describing inhomogeneous superconductivity.

7 pages, 7 figures

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Cited by in corpus (15)

• Topological phase transitions driven by next-nearest-neighbor hopping in two-dimensional lattices
• Towards large-Chern-number topological phases by periodic quenching
• Merging and alignment of Dirac points in a shaken honeycomb optical lattice
• Type-II quadrupole topological insulators
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Finite-momentum condensate of magnetic excitons in a bilayer quantum Hall system
• Generation of atypical hopping and interactions by kinetic driving
• Lattice symmetry and emergence of antiferromagnetic quantum Hall states
• Microscopic dynamics and Bose-Einstein condensation in liquid helium
• Unconventional fermionic pairing states in a monochromatically tilted optical lattice
• Quantum Phase Transition of Bosons in a Shaken Optical Lattice
• Floquet-Band Engineering of Shaken Bosonic Condensates
• Fast and direct preparation of a genuine lattice BEC via the quantum Mpemba effect
• Extended Bose-Hubbard model in a shaken optical lattice
• Symmetry-protected Bose-Einstein condensation of interacting hardcore Bosons