Climbing the exponential wall of the many-body localization problem
Research project selected under the 2021 call for proposals
Principal Investigator : Nicolas LAFLORENCIE
Involved Teams :
- LPT / FFC
Type of project : Disruptive Project
Date (start/end) : 2021 – 2024
We propose a new method to theoretically address the many-body localization (MBL) problem for large system sizes. The main idea to beat the exponential complexity of this high-energy many-body problem is to couple the Strong Disorder Renormalization Group (SDRG) method with exact numerical techniques, thus allowing for a numerical treatment of much larger system sizes as compared to the state of the art. Two main targets will be pursued: MBL beyond one dimension, and a systematic exploration of MBL criticality.
Given the impressive theoretical and experimental activity of this ﬁeld, the expected output is very exciting.