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.

Publications

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509620/1 01/10/2016 30/09/2022
1805380 Studentship EP/N509620/1 01/10/2016 31/03/2020 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