Attend the Virtual Global Study Fair | Register Now Attend the Virtual Global Study Fair | Register Now

This project is no longer listed on and may not be available.

Click here to search for PhD studentship opportunities
  Dr Arseni Goussev, Dr Jaewoo Joo, Dr Andrew Burbanks  Applications accepted all year round  Self-Funded PhD Students Only

About the Project

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project.

The PhD will be based in the School of Mathematics and Physics and will be supervised by Dr Arseni Goussev, Dr Jaewoo Joo and Dr Andrew Burbanks.

The work on this project could involve:

  • Research in foundations of quantum theory
  • Applications of quantum computing
  • Design of experimental realisation of quantum backflow

Project description

The laws of quantum mechanics allow for a moving particle to temporarily reverse the direction of its motion even in the absence of any external force. One manifestation of this counterintuitive phenomenon is the so-called quantum backflow effect, whereby the probability of finding a particle “on the left” increases with time despite the particle velocity pointing “to the right”.

Quantum backflow is a genuinely quantum effect without classical parallel. It is weak and fragile, and has not been yet observed experimentally. Recently [Goussev, “Quantum backflow in a ring”, arXiv:2008.08022] it has been shown that the effect becomes much more pronounced and robust, and better amenable to experimental observation, if instead of letting the particle move along a straight line one forces it to move in a circular ring. This opens a new possibility for the first experimental observation of the effect, and raises new questions on the theoretical side. Investigation of these questions is the objective of the advertised PhD project. The successful candidate will explore the effect of quantum backflow using a range of techniques from mathematical analysis, numerical simulations, and quantum computing.

General admissions criteria

You'll need a good first degree from an internationally recognised university (minimum upper second class or equivalent, depending on your chosen course) or a Master’s degree in an appropriate subject. In exceptional cases, we may consider equivalent professional experience and/or qualifications. English language proficiency at a minimum of IELTS band 6.5 with no component score below 6.0.

Specific candidate requirements

You should have a solid background in theoretical physics and applied mathematics. Some experience in scientific computing is also desirable.

How to Apply

We’d encourage you to contact Dr Arseni Goussev ([Email Address Removed])to discuss your interest before you apply, quoting the project code.

When you are ready to apply, you can use our online application form. Make sure you submit a personal statement, proof of your degrees and grades, details of two referees, proof of your English language proficiency and an up-to-date CV. Our ‘How to Apply’ page offers further guidance on the PhD application process.

Please quote project code SMAP6000521 when applying.

Funding Notes

Self-funded PhD students only.
Please for tuition fee information and discounts.
Search Suggestions
Search suggestions

Based on your current searches we recommend the following search filters.

PhD saved successfully
View saved PhDs