Isolated Structures in Two-Dimensional Optical Superlattice

Abstract

Overlaying commensurate optical lattices with various configurations called superlattices can lead to exotic lattice topologies and, in turn, a discovery of novel physics. In this study, by overlapping the maxima of lattices, a new isolated structure is created, while the interference of minima can generate various "sublattice" patterns. Three different kinds of primitive lattices are used to demonstrate isolated square, triangular, and hexagonal "sublattice" structures in a two-dimensional optical superlattice, the patterns of which can be manipulated dynamically by tuning the polarization, frequency, and intensity of laser beams. In addition, we propose the method of altering the relative phase to adjust the tunneling amplitudes in "sublattices." Our configurations provide unique opportunities to study particle entanglement in "lattices" formed by intersecting wells and to implement special quantum logic gates in exotic lattice geometries.

14 pages, 4 figures

References in corpus (8)

• A lattice of double wells for manipulating pairs of cold atoms
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Photon transport enhanced by transverse Anderson localization in disordered superlattices
• Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
• Semiclassical quantization of the Bogoliubov spectrum
• Preparation of Decoherence Free Cluster States with Optical Superlattices
• Excitation of atoms in an optical lattice driven by polychromatic amplitude modulation
• A simplified method for calculating the ac Stark shift of hyperfine levels