We develop the theory to describe the equilibrium ion positions and phonon modes for a trapped ion quantum simulator in an oblate Paul trap that creates two-dimensional Coulomb crystals in a triangular lattice. By coupling the internal states of the ions to laser beams propagating along the symmetry axis, we study the effective Ising spin-spin interactions that are mediated via the axial phonons and are less sensitive to ion micromotion. We find that the axial mode frequencies permit the programming of Ising interactions with inverse power law spin-spin couplings that can be tuned from uniform to r −3 with DC voltages. Such a trap could allow for interesting new geometrical configurations for quantum simulations on moderately sized systems including frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion tunneling. The trap also incorporates periodic boundary conditions around loops which could be employed to examine time crystals.
Rapid and repeated photon cycling has enabled precision
metrology
and the development of quantum information systems using atoms and
simple molecules. Extending optical cycling to structurally complex
molecules would provide new capabilities in these areas, as well as
in ultracold chemistry. Increased molecular complexity, however, makes
realizing closed optical transitions more difficult. Building on already
established strong optical cycling of diatomic, linear triatomic,
and symmetric top molecules, recent work has pointed the way to cycling
of larger molecules, including phenoxides. The paradigm for these
systems is an optical cycling center bonded to a molecular ligand.
Theory has suggested that cycling may be extended to even larger ligands,
like naphthalene, pyrene, and coronene. Herein, we study optical excitation
and fluorescent vibrational branching of CaO-, SrO-, and CaO- and find only weak decay to excited vibrational
states, indicating a promising path to full quantum control and laser
cooling of large arene-based molecules.
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