2021/10/11 by A. Fabre, Aurélien Fabre, Jean-Baptiste Bouhiron +4
Mathematics · Physics and Astronomy · #Algorithm #Atom (system on chip) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Dimension (graph theory) #Mathematics #Physics #Projection (relational algebra) #Pure mathematics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Qubit #Realization (probability) #Spin (aerodynamics) #Spin engineering #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.105.013301
7 pages, 4 figures
arxiv created 2021/10/11 · openalex publication_date 2022/01/05 · arxiv updated 2022/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Encoding a dimension in the internal degree of freedom of an atom provides an interesting tool for quantum simulation, facilitating the realization of artificial gauge fields. We propose an extension of the synthetic dimension toolbox, making it possible to encode two dimensions within a large atomic spin. The protocol combines first- and second-order spin couplings such that the spin projection m and the remainder r=m (mod 3) of its Euclidian division by 3 act as orthogonal coordinates on a synthetic cylinder. It is suited for an implementation with lanthanide atoms, which feature a large electronic spin and narrow optical transitions for applying the required spin couplings. This method is useful for simulating geometries with periodic boundary conditions and engineering various types of topological systems evolving in high dimensions.