Quantum spin systems: topology and non-equilibrium dynamics via path integrals over tensor networks
Eligibility: UK/International (including EU) graduates with the required entry requirements
Duration: Full-Time – between three and three and a half years fixed term
Application deadline: 27 May 2025
Interview date: Will be confirmed to shortlisted candidates
Start date: September 2025
For further details contact: Dr Chris Hooley
Introduction
We invite applications for a fully funded PhD position in theoretical many-body quantum physics, with a focus on the use of matrix-product-state path integrals to describe dynamical and topological features of quantum spin systems.
Project details
Quantum spin systems have been a key object of study in quantum mechanics since its inception in the early 20th century. On the one hand, many technologically important materials – including the parent compounds of the high-temperature superconductors – are described by quantum spin models. On the other hand, such models are intrinsically strongly correlated, and thus provide a profound challenge to theory. One of the hardest aspects of this theory is to describe quantum entangled states of the spin system, e.g. valence bond solids, in the same language as non-entangled or weakly entangled states, e.g. ordered magnets. The past ten years have seen major breakthroughs in this area, including the formulation of a path integral over matrix product states that allows the treatment of valence bond solids and ordered magnets on a common theoretical footing. However, this formalism has so far been applied largely to the equilibrium behaviour of quantum spin systems. The time is now ripe to extend this treatment into new territory, including topological features of the quantum spins’ wave function and the response of the quantum spin system when it is driven out of equilibrium.
Funding
Tuition fees and stipend
Benefits
The successful candidate will receive comprehensive research training including technical, personal and professional skills. All researchers at Coventry University (from PhD to Professor) are part of the Doctoral and Researcher College Capability, which provides support with high-quality training and career development activities.
Entry requirements
- A minimum of a 2:1 first degree in a relevant discipline/subject area with a minimum 60% mark in the project element or equivalent with a minimum 60% overall module average.
PLUS
- The potential to engage in innovative research and to complete the PhD within 3.5 years.
- A minimum of English language proficiency (IELTS academic overall minimum score of 7.0 with a minimum of 6.5 in each component).
Additional requirements
The successful candidate will have a strong background in theoretical physics, a strong academic record, and will be highly motivated. We expect them to engage in activities within the Centre for Fluid and Complex Systems as well as to take active part in collaborations with our existing network, both in the UK and internationally.
How to apply
All applications require full supporting documentation, a covering letter, plus a 500 word supporting statement showing how the applicant’s expertise and interests are relevant to the project.
Please contact Dr Chris Hooley for informal enquiries.
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