# Spatial Coherence of a Strongly Interacting Bose Gas in the Trimerized Kagome Lattice

## TL;DR

This study creates a trimerized kagome lattice for ultracold atoms, demonstrating persistent spatial coherence in a strongly interacting Bose gas and revealing asymmetry in bond coherence.

## Contribution

It introduces a method to produce and characterize a trimerized kagome lattice with tunable tunneling and interactions, advancing understanding of coherence in such systems.

## Key findings

- Persistent nearest-neighbor spatial coherence observed in large U/J' limit
- Asymmetry in coherence between strongly and weakly coupled bonds
- Distinct trimerization patterns identified via matter-wave diffraction

## Abstract

We produce a trimerized kagome lattice for ultracold atoms using an optical superlattice formed by overlaying triangular lattices generated with two colors of light at a 2:1 wavelength ratio. Adjusting the depth of each lattice tunes the strong intra-trimer (J) and weak inter-trimer (J') tunneling energies, and also the on-site interaction energy U. Two different trimerization patterns are distinguished using matter-wave diffraction. We characterize the coherence of a strongly interacting Bose gas in this lattice, observing persistent nearest-neighbor spatial coherence in the large U/J' limit, and that such coherence displays asymmetry between the strongly and the weakly coupled bonds.