Stability of $p$-orbital Bose-Einstein condensates in optical checkerboard and square lattices

Abstract

We investigate $p$-orbital Bose-Einstein condensates in both the square and checkerboard lattice by numerically solving the Gross-Pitaevskii equation. The periodic potential for the latter lattice is taken exactly from the recent experiment [Nature Phys. 7, 147 (2011)]. It is confirmed that the staggered orbital-current state is the lowest-energy state in the $p$ band. Our numerical calculation further reveals that for both lattices the staggered $p$-orbital state suffers Landau instability but the situation is remarkably different for dynamical instability. A dynamically stable parameter region is found for the checkerboard lattice, but not for the square.

arXiv comment7 pages, 7 figures

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• Observation of a dynamical sliding phase superfluid with P-band bosons
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Superfluidity breakdown of Rabi-coupled two-component Bose-Einstein condensates in optical lattices
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• Photonic Nambu-Goldstone bosons
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