Ph Studentship - Quantum Supersolids: Solitons, Vortices, and Nonlinear Dynamics (PROMENTD_U27EMPSFM)

Primary supervisor: Dr. Davide Proment

A supersolid is one of the most intriguing recently realised phases of quantum matter, simultaneously exhibiting the crystalline structure of solids and the frictionless flow of superfluids. In recent years, dipolar Bose–Einstein condensates (dBECs) have emerged as an ideal platform for creating and studying supersolid states in ultracold atomic systems. Breakthrough experiments have demonstrated the existence of supersolid phases and observed quantised vortices within them, opening exciting new questions about nonlinear excitations and coherent structures in quantum matter. 

This MSc by Research project aims to uncover nonlinear solitary wave solutions in supersolids, described by an extended Gross–Pitaevskii equation that incorporates long-range dipole–dipole interactions together with quantum fluctuation effects via the Lee–Huang–Yang correction. Using a combination of theoretical analysis and advanced numerical simulations, you will investigate the existence, stability, and dynamics of nonlinear excitations such as solitons, vortices, and solitary waves in supersolid media. 

The project will involve substantial computational work and scientific programming, with possible use of modern computational approaches such as scientific machine learning and data-driven analysis of nonlinear wave structures. Understanding these nonlinear excitations may also provide broader insights into pattern formation, quantum coherence, and emergent behaviour in complex many-body systems. 

Depending on the direction of the project, opportunities may arise to interact with experimental groups working on dipolar quantum gases and ultracold atomic systems. 

By undertaking this project, you will develop advanced skills in mathematical modelling, nonlinear partial differential equations, numerical simulations, scientific programming, high-level data analysis, scientific communication, and independent research—skills highly valued in both academia and technology-driven industries. 

By joining Dr Proment’s research group at the University of East Anglia (Norwich, UK), you will become part of a vibrant research environment with strong expertise in theoretical and numerical modelling of nonlinear phenomena. The group’s research interests span quantum fluids, nonlinear optics, water waves, complex systems, and out-of-equilibrium dynamics. 

We are seeking a talented and motivated candidate with a bachelor’s degree in Physics or a related discipline. A solid foundation in quantum mechanics, partial differential equations, numerical methods, and scientific computing is essential. Prior knowledge of fluid dynamics, continuum mechanics, or quantum fluids would be advantageous. 

For further information, including references to relevant literature, please do not hesitate to contact Dr Davide Proment via email at d.proment@uea.ac.uk .

Entry Requirements

The minimum entry requirement is 2:1 in Physics (or equivalent, for example Mathematics, Natural Sciences, Computer Sciences).

Mode of study: Full or Part time

Start date: 1^st October 2026

Funding:

This project is offered on a self-funded basis. It is open to applicants who are self-funded or who are in the process of securing external funding.

A bench fee is payable in addition to the tuition fee, to cover the cost of specialist equipment and laboratory facilities required for the research. Applicants should contact the primary supervisor for details of the bench fee applicable to this project.

If you are part of the UEA alumni community, you may be eligible for a tuition fee discount.

For information on doctoral funding, visit our Postgraduate Student Loans page.

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