Breaking the Entanglement Barrier
Breaking the Entanglement Barrier
- Event time: 4:00pm
- Event date: 27th January 2025
- Speaker: Dr Steven Thomson (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) and Zoom James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB
Event details
The study of low-dimensional many-body quantum systems is extremely challenging, particularly in two dimensions. Exact numerical methods can simulate only a few tens of particles, and many approximate methods work only for weakly entangled systems, a situation known as the 'entanglement barrier'. Here, I'll present a new numerical technique known as the Tensor Flow Equation method [1,2] which is able to overcome this obstacle not only in one dimension, but also allows us to simulate two and three dimensional many-body quantum systems, including driven and dissipative models. With rigorous guarantees on its accuracy, this method allows us to make reliable calculations in a parameter regime that has previously been almost inaccessible. I will show how the method has allowed us to discover surprising properties of quasiperiodic systems, and shed light on the ongoing debate regarding the fate of many-body localisation in two dimensions.
[1] - S. J. Thomson & M. Schirò, SciPost Phys. 14, 125 (2023)
[2] - S. J. Thomson & J. Eisert, Nature Physics 20, 1401-1406 (2024)
About Condensed Matter lunchtime seminars
This is a weekly series of informal talks given primarily by members of the institute of condensed matter and complex systems, but is also open to members of other groups and external visitors. The aim of the series is to promote discussion and learning of various topics at a level suitable to the broad background of the group. Everyone is welcome to attend..