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Novel non-equilibrium phases of matter

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  • Full or part time
    Dr A Lazarides
    Prof T Ala-Nissila
  • Application Deadline
    No more applications being accepted
  • Competition Funded PhD Project (Students Worldwide)
    Competition Funded PhD Project (Students Worldwide)

Project Description

A studentship in Novel non-equilibrium phases of matter is available in the Interdisciplinary Centre for Mathematical Modelling at Loughborough University. Recently, new phases of matter beyond the usual Landau paradigm have become an active and successful field of research. One of the most striking is the “Discrete Time Crystal”, displaying spatiotemporal order much like a crystal displays spatial order. The project will focus on how to prevent the entropic death of periodic systems as well as on developing a statistical mechanical-like framework. Applicants should be familiar with quantum many body systems and be familiar with or enthusiastic about numerical techniques to study the associated dynamics.

Loughborough University is a top-ten rated university in England for research intensity (REF2014). In choosing Loughborough for your research, you’ll work alongside academics who are leaders in their field. You will benefit from comprehensive support and guidance from our Doctoral College, including tailored careers advice, to help you succeed in your research and future career.
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Full Project Detail

A 3-year PhD studentship in Novel non-equilibrium phases of matter is available in the Interdisciplinary Centre for Mathematical Modelling at Loughborough University with Dr Achilleas Lazarides and Professor Tapio Ala-Nissila. We are seeking someone interested in studying out of equilibrium phases of matter in periodically-driven quantum systems. The focus will be on ways to control the entropic death of the system, such as by contact with the environment, including disorder, or introducing long-range interactions. Numerical techniques are the first approach to any such problem, followed by the formulation of an analytical framework once some intuition is built up, so willingness to learn how to perform computer simulations is essential. During the project you will be working in a collaborative and interdisciplinary environment, becoming familiar with numerical techniques such as exact diagonalization as well as analytical techniques such as the renormalisation group. Your role will be to develop tools to study such systems and construct an analytical framework based on those. We are particularly eager to see diverse applicants.

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Entry requirements

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Physics or a related subject. A relevant Master’s degree and/or experience in one or more of the following will be an advantage: many-body quantum theory, numerical techniques, programming experience.

How to apply

All applications should be made online at Under programme name, select ‘Mathematical Sciences’

Please quote reference number: AL/MA/2019.

Funding Notes

This studentship will be awarded on a competitive basis to applicants who have applied to this project and/or any of the advertised projects prioritised for funding by the School of Science.

The 3-year studentship provides a tax-free stipend of £14,777 (2018 rate) per annum (in line with the standard research council rates) for the duration of the studentship plus tuition fees at the UK/EU rate. International (non-EU) students may apply however the total value of the studentship will be used towards the cost of the International tuition fee in the first instance.

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