The study of superfluidity in quantum fluids is currently one of the most fascinating fields of research in fluid dynamics involving some of the most unusual phenomena seen in fluids. These include the ability of the fluid to flow without any dissipation, the propagation of heat as a wave rather than by diffusion, and the quantisation of circulation of superfluid vortices as determined by quantum mechanical constraints.
Originally discovered in liquid Helium, nowadays superfluids are being studied in a broad range of systems including atomic and molecular Bose-Einstein condensates (BECs), exciton-polariton condensates (consisting of light and matter waves), and spin-wave systems to name a few. The discovery of superfluidity in these new systems is currently driving theoretical research towards a better understanding of non-equilibrium phenomena. Such non-equilibrium effects have relevance to the study of turbulence in quantum fluids, finite temperature effects in BECs, non-equilibrium condensates, as well as describing non-equilibrium phase transitions. Despite its importance and broad relevance to these problems, the underlying theory for non-equilibrium phenomena is not well developed and is currently a very active area of investigation.
This PhD project aims to improve our understanding of non-equilibrium phenomena in quantum fluids through a combination of theory and numerical simulations to corroborate recent experimental findings. The primary tool to tackle the project is a combination of theory and numerical simulations based on the Nonlinear Schrodinger or Gross-Pitaevskii equation. Topics that are relevant to the described research include, fluid mechanics, quantum mechanics, nonlinear waves, numerical methods, and statistical mechanics.
You will join an active and thriving research group working on the modelling of superfluid phenomena. The group has international research links with other experimental and theoretical groups modelling turbulence in these systems that are based in the UK, USA, Germany, New Zealand, Australia, and Brazil. This project will place you at the frontier of a fast moving new subject, which promises many exciting new possibilities for a research career.
This PhD project is offered on a self-funding basis. It is open to applicants with funding or those applying to funding sources. Details of tuition fees can be found at http://bit.ly/1Jf7KCr
A bench fee is also payable on top of the tuition fee to cover specialist equipment or laboratory costs required for the research. The amount charged annually will vary considerably depending on the nature of the project and applicants should contact the primary supervisor for further information about the fee associated with the project.
i) R.J. Donnelly, Quantized vortices in Helium II, Cambridge University Press.
ii) N.G. Berloff, ‘Nonlinear Schrodinger equation as a model of superfluid Helium’, “Quantized Vortex Dynamics and Superfluid Turbulence”, Eds. C.F. Barenghi, R.J. Donnely, and W.F. Vinen, Lecture Notes in Physics, Vol. 571, Springer-Verlag, 2001.
iii) H. Salman `Breathers on Quantized Superfluid Vortices’, Phys. Rev. Lett., v111, 165301, 2013.