Novel phenomena in ultracold atomic gases
Lead Research Organisation:
University of Cambridge
Department Name: Physics
Abstract
The project will involve theoretical studies of novel quantum phenomena motivated by experimental advances in ultracold gases. Of particular interest are novel forms of optical lattices -- for example with quasiperiodic order or with topological character. The project shall explore the effects of such lattices on the static and dynamical properties of many particle quantum systems.
Organisations
Publications
Spurrier S
(2020)
Geometry and Topology of Quantum States in Quasicrystalline Systems
Spurrier S
(2019)
Theory of quantum oscillations in quasicrystals: Quantizing spiral Fermi surfaces
in Physical Review B
Spurrier S
(2018)
Semiclassical dynamics, Berry curvature, and spiral holonomy in optical quasicrystals
in Physical Review A
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/N509620/1 | 30/09/2016 | 29/09/2022 | |||
1805380 | Studentship | EP/N509620/1 | 30/09/2016 | 30/03/2020 | Stephen Spurrier |
Description | The most significant achievements from the award are: - Discovery of a topological feature in 'weakly coupled' quasicrystals referred to as a 'spiral holonomy', which is accessible in both cold atom and quantum oscillation experiments. - The development of a 'low energy theory' that describes the presence of 'higher-order topological phases' with 'corner localised' states with quasicrystalline rotational symmetry. |
Exploitation Route | Current and future experiments involving cold atoms or twisted bilayer graphene might be able to investigate the presence of the previously mentioned 'spiral holonomy'. Further theoretical work could build on top of our low energy theory, perhaps providing a bulk invariant for quasicrystalline higher-order topological insulators. |
Sectors | Other |