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 amplitude. We show that the density-induced frustration leads to a rich landscape of quantum phases, including Mott insulator, bond-order insulator, 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 interaction, and that for the latter case the vacuum may be destabilized leading to a strong compressibility. Finally, we discuss the characteristic momentum distribution of the predicted phases, which can be used to detect the phases in time-of-flight measurements.
Highlights
Geometric frustration, especially in low-dimensional systems, results in the stabilization of unusual quantum phases [1]
In higher-dimensions, laser-assisted hopping may induce under proper conditions density-dependent magnetism, which results in a non-trivial interplay between density modulation and chirality [14]
That the occupation-dependent frustration results in a very rich landscape of insulator and superfluid phases, including chiral superfluids (CSF), two-component superfluids (2SF), MI phases with string order, bond-order insulators (BO), and the PP phase
Summary
A density-dependent gauge field may induce density-induced geometric frustration, leading to a nonlicence. Trivial interplay between density modulation and frustration, which we illustrate for the particular case. Any further distribution of this work must maintain of ultra-cold bosons in zig-zag optical lattices with a density-dependent hopping amplitude. We show attribution to the that the density-induced frustration leads to a rich landscape of quantum phases, including Mott author(s) and the title of the work, journal citation insulator, bond-order insulator, two-component superfluids, chiral superfluids, and partially paired and DOI. We show as well that the density-dependent hopping results in an effective repulsive or attractive interaction, and that for the latter case the vacuum may be destabilized leading to a strong compressibility. We discuss the characteristic momentum distribution of the predicted phases, which can be used to detect the phases in time-of-flight measurements
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