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Ryan Doran

Ryan’s current research interests include Bose-Einstein Condensates (BECs), Quantum vortices and turbulence in quantum fluids, Bright Solitons, and Modelling phase transitions in BECs. Their PhD research project is investigating Non-Equilibrium Dynamics and Turbulence in Disordered Bose Gases

Project Title

'Non-Equilibrium Dynamics and Turbulence in Disordered Bose Gases'


I am a PhD student in applied mathematics, and a member of the Quantum Matter research group.

Project Description

In gases - which occupy the majority of the universe - billiard ball like collisions between particles dominate the governing dynamics. At very low but finite temperatures, it was predicted that bosons would fall into their lowest energy levels. Here the bosons cease to behave like individual particles, rather they behave as one, single, giant atom.

In 1995, Cornell, Ketterle and Wieman reduced 2000 rubidium atoms to less than 100 billionths of a degree above absolute zero. This breakthrough lead to Cornell and Wieman receiving a Nobel prize for their studies on BEC.

BECs are highly experimentally controllable, have widespread potential applications from interferometry and quantum computing to understanding the behaviour of Neutron stars, and are an exciting testbed for quantum mechanics. Presently there are hundreds of novel BEC experiments taking place around the globe.

Research Interests

• Bose-Einstein Condensates (BECs)
• Quantum vortices and turbulence in quantum fluids
• Bright Solitons
• Modelling phase transitions in BECs


First class MMath (Hons) in Mathematics from Newcastle University, UK (2017)


Numerical method for the projected Gross-Pitaevskii equation in an infinite rotating two-dimensional Bose gas
R Doran and T. P. Billam
Physical Review E 102, 033309 (2020)

Engineering Bright Matter-Wave Solitons of Dipolar Condensates
M J Edmonds, T Bland, R Doran and N G Parker
New Journal of Physics, 19, 023019 (2017)