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.

7 pages, 7 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• A lattice of double wells for manipulating pairs of cold atoms
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Prediction of quantum stripe ordering in optical lattices
• Incommensurate superfluidity of bosons in a double-well optical lattice

Cited by in corpus (4)

• 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
• Instabilities of a Bose-Einstein condensate with mixed nonlinear and linear lattices
• Photonic Nambu-Goldstone bosons