Extended Data Fig. 2: Lattice and interaction ramps for two different loading schemes.
From: Quantization and its breakdown in a Hubbard–Thouless pump
a, The ‘conventional’ lattice ramps with final depths [VX, VXint, VY, VZ] of [5.40(5), 0.09(2), 15.02(6), 17.04(8)]ER are made up of s-shaped ramps at the final scattering length for the targeted U. b, The improved scheme includes an intermediate ramp into a deep checkerboard lattice at strongly attractive scattering lengths to maximise the fraction of atoms in half-filled unit cells. Intended interactions are then reached by ramping the magnetic field strength, for the − 9/2, − 7/2 mixture, or a ramp and a prior RF pulse for the − 9/2, − 5/2 mixture. Splitting the single cells of the checkerboard pattern in two then yields the final lattice depths [6.02(4), 0.37(3), 14.98(3), 17.0(3)]ER.
