Inter-site interactions in polar lattice gases may result, due to Hilbert-space fragmentation, in a lack of ergodicity even in absence of disorder. We show that the inter-site interaction in a onedimensional dipolar gas in an optical lattice departs from the usually considered 1/r3 dependence, acquiring a universal form that depends on the transversal confinement and the lattice depth. Due to the crucial role played by the nearest- and next-to-nearest neighbors, the Hilbert-space fragmentation and particle dynamics are very similar to that of a power-law model 1/rβeff<3, where βeff is experimentally controllable by properly tailoring the transversal confinement. Our results are of direct experimental relevance for experiments on dipolar gases in optical lattices, and show that the particle dynamics may be remarkably different if the quasi-1D lattice model is realized in a strong 3D lattice, or by means of a strong transversal harmonic confinement.
The datasets described below were used to produce Fig.3(c) and Fig.3(d) in the linked arXiv paper.
Figure 3 (c) Homogenization of an initial density wave, color map for inhomogeneity parameter for power-law model. Jupyter notebook creating plots of Fig. 3(c) is fig3c.ipynb; it employs data stored in directory ./fig3c/
Figure 3 (d) Homogenization of an initial density wave, color map for inhomogeneity parameter for a polar gas. Jupyter notebook creating plots of Fig. 3(d) is fig3d.ipynb; it employs data stored in directory ./fig3d/[Parent Directory]