Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction

• DOI: 10.48550/arxiv.2309.17402
• Publication Date: 2023-01-01
• Authors: Felix A. Palm; Joyce Kwan; Brice Bakkali-Has...; Markus Greiner; Ulrich Schollwöck; Nathan Goldman; Fabian Grusdt
• Keywords: Benchmark (surveying)

The study of fractional Chern insulators and their exotic anyonic excitations poses a major challenge in current experimental theoretical research. Quantum simulators, particular ultracold atoms optical lattices, provide promising platform to realize, manipulate, understand such systems with high degree controllability. Recently, an atomic $\nu=1/2$ Laughlin state has been realized experimentally for small system two particles on 4 by sites. next concerns the preparation states extended systems, ultimately giving access braiding statistics or gapless chiral edge-states open boundaries. Here, we propose analyze feasible scheme grow larger connecting multiple copies already existing 4-by-4-system. First, present minimal setting obtained coupling patches, producing 8-by-4-system four particles. Then, different schemes, focus shapes system, discuss respective advantages: While growing strip-like lattices could give central charge, square-like geometries are advantageous creating quasi-hole view protocols. We highlight robust quantization charge upon using our protocol. benchmark performance patchwork comparing it protocol based one-dimensional chains. find that approach consistently gives higher target-state fidelities, especially elongated systems. results presented here pave way towards near-term implementations quantum gas microscopes subsequent exploration properties topologically ordered experiments.