5 papers
Topological models in rotationally symmetric quasicrystals
Callum W. Duncan, Sourav Manna, Anne E. B. Nielsen
We investigate the physics of quasicrystalline models in the presence of a uniform magnetic field, focusing on the presence and construction of topological states. This is done by…
Synthetic mean-field interactions in photonic lattices
Callum W. Duncan, Michael J. Hartmann, Robert R. Thomson +1
Photonic lattices are usually considered to be limited by their lack of methods to include interactions. We address this issue by introducing mean-field interactions through optica…
Super Hamiltonian in superspace for incommensurate superlattices and quasicrystals
Manuel Valiente, Callum W. Duncan, Nikolaj T. Zinner
Infinite quasiperiodic arrangements in space, such as quasicrystals, are typically described as projections of higher-dimensional periodic lattices onto the physical dimension. The…
Staggered Ground States in an Optical Lattice
Dean Johnstone, Niclas Westerberg, Callum W. Duncan +1
Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation a…
Mean-field phases of an ultracold gas in a quasicrystalline potential
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
The recent experimental advancement to realise ultracold gases scattering off an eight-fold optical potential [Phys. Rev. Lett. 122, 110404 (2019)] heralds the beginning of a new t…