Back to search results

PhD Studentship: Constrained Quantum Many-Body Systems

Loughborough University

Qualification Type: PhD
Location: Loughborough
Funding for: UK Students, EU Students, International Students
Funding amount: £15,609 p.a.
Hours: Full Time
Placed On: 11th January 2022
Closes: 16th March 2022
Reference: AL/MA/2022
 

Application details:

Start date of studentship: October 2022

Closing date of advert: 16th March 2022 

Supervisors:

Primary supervisor: Achilleas Lazarides

Secondary supervisor: Andy Archer

A recent breakthrough in physics has been the proposal and observation of novel out of equilibrium phases of matter in many-body quantum systems, with time crystals as one prominent example. For these phases to be stable it is required that ergodicity is impeded, otherwise heat death of the system is inevitable. This theoretical project is aimed at studying a particular approach to impeding ergodicity: kinetic constraints, as first studied in classical systems.

The project will involve both numerical and analytical approaches: Numerical experiments will provide insight into the phenomenology to be studied using analytical tools, themselves supplemented by numerical approaches.

In choosing Loughborough for your research, you will benefit from comprehensive support and guidance from our Graduate School, including tailored careers advice, to help you succeed in your research and future career.

Find out more: http://www.lboro.ac.uk/study/postgraduate/supporting-you/research/ 

Full Project Detail:

The recent progress in exploring non-equilibrium dynamics of isolated many-body quantum systems has brought renewed attention on the dynamics and thermalisation of closed systems.

Significant effort has been devoted to studying phenomena far from equilibrium in such systems, often by driving the systems periodically–an example being the discrete time crystals recently observed in experiments. Ergodic systems eventually heat up under these conditions, complicating the observation of such phenomena. It is therefore of interest to understand how to break ergodicity in a robust, non fine-tuned way, providing access to the far from equilibrium regime where new phenomena await discovery.

While most work on ergodicity breaking over the last decade has focused on disorder-induced ergodicity breaking in many-body localised (MBL) systems, recent work has turned to ergodicity breaking in kinetically constrained systems such as appear in Rydberg atom physics. Classically, such constraints amount to forbidding certain dynamical processes; quantum mechanically they map to the vanishing of matrix elements corresponding to such transitions.

This project will help develop numerical and theoretical tools and apply them to kinetically constrained models so as to obtain their phenomenology. Based on that, we will then develop approximate analytical tools to provide further insight.

You will work in a small but active research group of four researchers, in close contact with other groups around the country.

Entry requirements:

Applicants should have, or expect to achieve, at least a 2:1 Honours degree (or equivalent) in Physics or a related subject.

Funding information:

Please note that studentships will be awarded on a competitive basis to applicants who have applied to this project and other advertised projects within the School. Funding decisions will not be confirmed until early 2022. The studentship is for 3 years and provides a tax-free stipend of £15,609 per annum for the duration of the studentship plus tuition fees at the UK rate. International (including EU) students may apply however the total value of the studentship will cover the International Tuition Fee Only.

Contact details:

Name: Achilleas Lazarides

Email address: a.lazarides@lboro.ac.uk

Telephone number:  +44 1509 222864

How to apply:

All applications should be made online at http://www.lboro.ac.uk/study/apply/research/. Under programme name, select Mathematical Sciences

Please quote reference number: AL/MA/2022

We value your feedback on the quality of our adverts. If you have a comment to make about the overall quality of this advert, or its categorisation then please send us your feedback
Advert information

Type / Role:

Subject Area(s):

Location(s):

PhD tools
 

PhD Alert Created

Job Alert Created

Your PhD alert has been successfully created for this search.

Your job alert has been successfully created for this search.

Ok Ok

PhD Alert Created

Job Alert Created

Your PhD alert has been successfully created for this search.

Your job alert has been successfully created for this search.

Manage your job alerts Manage your job alerts

Account Verification Missing

In order to create multiple job alerts, you must first verify your email address to complete your account creation

Request verification email Request verification email

jobs.ac.uk Account Required

In order to create multiple alerts, you must create a jobs.ac.uk jobseeker account

Create Account Create Account

Alert Creation Failed

Unfortunately, your account is currently blocked. Please login to unblock your account.

Email Address Blocked

We received a delivery failure message when attempting to send you an email and therefore your email address has been blocked. You will not receive job alerts until your email address is unblocked. To do so, please choose from one of the two options below.

Max Alerts Reached

A maximum of 5 Job Alerts can be created against your account. Please remove an existing alert in order to create this new Job Alert

Manage your job alerts Manage your job alerts

Creation Failed

Unfortunately, your alert was not created at this time. Please try again.

Ok Ok

Create PhD Alert

Create Job Alert

When you create this PhD alert we will email you a selection of PhDs matching your criteria.When you create this job alert we will email you a selection of jobs matching your criteria. Our Terms and Conditions and Privacy Policy apply to this service. Any personal data you provide in setting up this alert is processed in accordance with our Privacy Notice

Create PhD Alert

Create Job Alert

When you create this PhD alert we will email you a selection of PhDs matching your criteria.When you create this job alert we will email you a selection of jobs matching your criteria. Our Terms and Conditions and Privacy Policy apply to this service. Any personal data you provide in setting up this alert is processed in accordance with our Privacy Notice

 
 
 
More PhDs from Loughborough University

Show all PhDs for this organisation …

More PhDs like this
Join in and follow us

Browser Upgrade Recommended

jobs.ac.uk has been optimised for the latest browsers.

For the best user experience, we recommend viewing jobs.ac.uk on one of the following:

Google Chrome Firefox Microsoft Edge