Density-induced geometric frustration of ultra-cold bosons in optical lattices

Abstract

A density-dependent gauge field may induce density-induced geometric frustration, leading to a non-trivial interplay between density modulation and frustration, which we illustrate for the particular case of ultra-cold bosons in zig-zag optical lattices with a density-dependent hopping. We show that the density-induced frustration leads in a rich landscape of quantum phases, including Mott and bond-order insulators, two-component superfluids, chiral superfluids, and partially-paired superfluids. We show as well that the density-dependent hopping results in an effective repulsive or attractive interactions, and that for the latter case the vacuum may be destabilized leading to a strong compressibility. Finally, we discuss how the predicted phases may be experimentally observed and characterized in time-of-flight measurements using their characteristic signatures in the momentum distribution.

13 pages, 8 figures

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• Synthetic Flux Attachment
• Bond order via cavity-mediated interactions
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
• Flux induced re-entrant dynamics in the quantum walk of interacting bosons
• Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
• Magnetic and charge orders on the triangular lattice: Extended Hubbard model with intersite Ising-like magnetic interactions in the atomic limit