PhD Studentship: Quantum Geometry and Topology in Nonequilibrium Quantum Systems

Topologically protected systems have revolutionized our understanding of phases of matter in physics. They bring abstract mathematical concepts to real life in the form of experimentally observable quantized responses, which are extremely robust, hence, even constitute promising candidates for fault-tolerant quantum computation schemes. The study of topology out of equilibrium (e.g. under periodic driving with a laser light or quantum quenches) has further revealed new topological classifications and more exotic topological invariants. In recent years, we have discovered that topology and the geometry of quantum states are deeply intertwined, where the notions like quantum metric have been found to govern novel and seemingly distinct physical phenomena such as superconductivity, quantum metrology and fractional quantum Hall physics.

This theoretical PhD project will focus on investigating such topological and quantum geometric phenomena emerging in and out of equilibrium, by using analytical calculations supported by some numerics. It will also take advantage of state-of-the-art advances in ultracold atomic experiments which offer a high degree of control to observe these physics in quantum simulation settings.

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 Unal (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 Unal on New frontiers in quantum geometry, topology and out-of-equilibrium dynamics. 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 Unal at f.unal@bham.ac.uk for any informal inquiries about the project. You can apply at https://sits.bham.ac.uk/lpages/EPS005.htm and make sure you list the name of the supervisor 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 Details

Additional Funding Information

Funding is awarded on competitive basis, and it will cover tuition fees and living stipend for 3.5 years. For details of the funding or any other inquiries contact f.unal@bham.ac.uk.

To apply select this project from the list within the table, which you can find via the above 'Apply' button.

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