PhD Studentship: Non-Abelian Topologies, Quantum Geometry and Quantum Simulations

Topological phases of matter have reshaped how we think about quantum systems. Unlike conventional phases (such as solids, liquids, or magnets), which are characterized by local order, topological phases are defined by global, “hidden” properties of the quantum wavefunction—features that remain unchanged under smooth deformations. These phases can host robust edge states protected against disorder and imperfections, making them both conceptually deep and technologically promising.

This theoretical PhD project will investigate how topology and quantum geometry emerge and intertwine such as considering equilibrium or out of equilibrium systems, strongly correlated and/or non-Abelian settings, and how these structures manifest in realistic, experimentally relevant platforms. The work will include both analytical and numerical calculations.

The PhD candidate should have (or about to complete) an undergraduate or masters degree in Physics or a closely related subject (preferably first class degree or equivalent). Ideally, they will have a general theoretical physics background and an interest in areas such as condensed matter, topological phases, quantum simulations or ultracold quantum gases.

The project will take place in the group of Dr Nur Ünal (https://scholar.google.com/citations?hl=en&user=VIzeUlUAAAAJ) in the theoretical physics group at the School of Physics and Astronomy, University of Birmingham. The PhD candidate will be integrated into the Royal Society project of Dr Ünal on New frontiers in quantum geometry, topology and out-of-equilibrium dynamics. The group works on a wide range of novel quantum phenomena, including topologically protected states, out-of-equilibrium dynamics, localization, fractional quantum Hall physics, and non-Abelian phases. We have strong collaborations with several theory and experimental groups in the UK and internationally, such as in Cambridge, Manchester, Germany, France, the US, Japan etc. There will be opportunities, and in fact strong encouragement, to interact closely with these collaborations.

All highly motivated students are encouraged to contact Dr Nur Ünal at f.unal@bham.ac.uk for any informal inquiries about the project. You can apply via the above 'Apply' link and make sure you list the name of the supervisor as Dr Unal.

The School of Physics and Astronomy is an Institute of Physics Juno Champion since 2014 and holder of the Athena SWAN Silver Award. Both initiatives recognise the School’s commitment to promote diversity and equality, and to encourage better practice for all members of the community, whilst also working towards developing an equitable working culture in which all students and staff can achieve their full potential. We welcome applications from all qualified applicants and encourage applications from traditionally under-represented groups in physics and astronomy including, but not limited to, women and Black, Asian and Minority Ethnic.

Funding notes:

Funding is awarded on competitive basis, it will cover UK/home-student tuition fees and living stipend for 3.5 years. Interviews will take place on a date to be confirmed after the application deadline. For details of the funding or any other inquiries contact f.unal@bham.ac.uk

References:

Check my recent publications on my website and google scholar profile (link above), or arxiv (https://arxiv.org/search/cond-mat?searchtype=author&query=%C3%9Cnal%2C+F+N)

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