Path Integrals Over Matrix Product States: Applications and Extensions
Lead Research Organisation:
University of St Andrews
Department Name: Physics and Astronomy
Abstract
The realisation that the ground states of short-range quantum spin systems can generically be represented by matrix product states is an important recent development in theoretical physics. With the aim of integrating the insights of matrix product states with the powerful tools of quantum field theory, Chris Hooley and some of his colleagues recently developed a path integral over one-dimensional versions of such states.
The aim of this project is threefold: first, to explore the extension of this matrix-product-state path integral to higher-dimensional systems; second, to investigate the nature and physical meaning of instanton processes in such path integrals; and third, to develop further applications of the matrix-product-state path integral to open questions in the physics of frustrated magnetism.
The aim of this project is threefold: first, to explore the extension of this matrix-product-state path integral to higher-dimensional systems; second, to investigate the nature and physical meaning of instanton processes in such path integrals; and third, to develop further applications of the matrix-product-state path integral to open questions in the physics of frustrated magnetism.
Organisations
People |
ORCID iD |
| Christopher Hooley (Primary Supervisor) | |
| Joe Crossley (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/T518062/1 | 01/10/2020 | 30/09/2025 | |||
| 2458698 | Studentship | EP/T518062/1 | 26/09/2020 | 28/02/2025 | Joe Crossley |
| Description | So far, we have spent a lot of time testing the current theory for how a certain magnetic material works. Using various state-of-the-art methods, we have gathered a weight of evidence to suggest that the current theory is incomplete and needs updating as it cannot reproduce the behaviour seen in experiments. |
| Exploitation Route | We hope that our calculations will encourage people to rethink the currently accepted theory for the material. |
| Sectors | Digital/Communication/Information Technologies (including Software),Energy,Environment |