Research Fellows in Quantum Many-Body Physics (3 separate projects)

Do you have a background in quantum many-body physics, with expertise in topological phases of matter, lattice gauge theories, or quantum criticality? Are you interested in computational approaches to quantum many-body systems, such as tensor networks and neural quantum states? Would you like to further your career in one of the UK’s leading research-intensive universities? We are advertising three separate projects in the field of quantum many-body physics:

• Topological quantum matter. The focus areas of this project include topological and geometric properties of fractional quantum Hall states and fractional Chern insulators, including their classical and quantum simulations (in particular, exact diagonalisation, matrix product state and neural quantum state methods, as well as quantum simulations). Some of our recent papers relevant to the position include:

https://arxiv.org/abs/2011.01955

https://arxiv.org/abs/2107.10267

https://arxiv.org/abs/2111.10395

https://arxiv.org/abs/2301.04169

https://arxiv.org/abs/2401.17352

• Far-from-equilibrium physics of lattice gauge theories. The focus areas of the project include many-body dynamics, ergodicity breaking, false-vacuum decay, etc. The project will also involve developing classical and quantum simulations of lattice gauge theories (in particular, via exact diagonalisation, matrix product state and neural quantum state methods, as well as quantum simulations). Some of our recent papers relevant to the position include:

https://arxiv.org/abs/2607.26156

https://arxiv.org/abs/2607.14223

https://arxiv.org/abs/2606.25889

https://arxiv.org/abs/2512.23794

https://arxiv.org/abs/2406.14718

• Quantum criticality on the "fuzzy sphere". The focus areas of the project include conformal field theories in 2+1 dimension and their numerical simulations using the noncommutative geometry of the fuzzy sphere (in particular, via exact diagonalisation, matrix product state and neural quantum state methods). Some of our recent papers relevant to the position include:

https://arxiv.org/abs/2411.15299

https://arxiv.org/abs/2506.22539

https://arxiv.org/abs/2509.08036

https://arxiv.org/abs/2512.25054

https://arxiv.org/abs/2608.07655

To apply For further information on these vacancies and how to apply, please visit the following websites for each position, where you can also access a full candidate brief.

• https://jobs.leeds.ac.uk/EPSPA1142 Research Fellow in Topological quantum matter
• https://jobs.leeds.ac.uk/EPSPA1143 Research Fellow in Quantum Simulations of Gauge Theories
• https://jobs.leeds.ac.uk/EPSPA1140 Research Fellow in Quantum Criticality and Conformal Field Theory