Figure 1

(Color online) (a) Two atoms in state $|+⟩$ collide and change into state $|-⟩$. (b) When trapped in a state-dependent optical lattice, changing the state implies also jumping between lattice sites. We plot some forbidden (dashed) and allowed (solid) processes. Only pairs of atoms can hop between lattices. (c) In order to maximize the overlap between atoms in different states and thus the strength of correlated hopping, in this paper we consider two state-dependent superlattices. (d) The physical implementation of (c) is based on two-states atoms $|\pm ⟩\propto |\uparrow ⟩\pm |\downarrow ⟩$ confined in an optical lattice of strength $V_0$ and coupled by an oscillating Raman field, of strength $\Omega <V_0$.Reuse & Permissions

Figure 2

(Color online) Ground-state properties estimated with the Gutzwiller wave function (10). Grayscale plots of (a) density fluctuations $\Delta n$ and (b) pair condensate order parameter $⟨c^2⟩$. Dashed lines mark the analytical estimates, while solid lines delimit regions of integer filling. All plots cover the same region $\left(U_0,\mu \right)\in \left[0,5U_1\right]\times \left[0,10U_1\right]$.Reuse & Permissions

Figure 3

(Color online) Ground-state properties estimated with the MPS method. We plot the averaged two-particle correlator ${\sum }_{\Delta }\left|C_{\Delta }^2\right|/L$, where $C_{\Delta }^2:=⟨c_i^{†2}{c}_{i+\Delta }^2⟩$. Solid lines delimit regions of integer filling.Reuse & Permissions

Figure 4

Single particle $C_{\Delta }^1:=⟨c_i^{†}{c}_{i+\Delta }⟩$ (dashed) and two particle $C_{\Delta }^2:=⟨a_i^{†2}{a}_{i+\Delta }^2⟩$ correlators (solid) for $\mu /U_1=0.9$, $U_0/U_1=0$, and a lattice with 40 sites. The inset repeats the plot for $C_{\Delta }^2$ in log-log scale, with a fit $C_{\Delta }^2\propto {\Delta }^{0.32}$ (dash).Reuse & Permissions