Many-body localization in large-N conformal mechanics

In quantum statistical mechanics, closed many-body systems that do not exhibit thermalization after an arbitrarily long time in spite of the presence of interactions are called as many-body localized systems, and recently have been vigorously investigated. After a brief review of this topic, we consider a many-body interacting quantum system in one dimension, which has conformal symmetry and integrability. We exactly solve the system and discuss its thermal or non-thermal behavior.Comment: 12 pages, 2 figures, Contribution to Proceedings of the Workshop "Quantum Theory and Symmetry (QTS) 10 and Lie Theory and Its Applications in Physics (LT) 12