Abstract
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.
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Acknowledgements
We would like to thank Catherine Meusburger for discussing the construction of integrable models by using coproducts. F. S. would also like to thank the organizers and Vladimir Dobrev for invitation to the workshop.
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Sugino, F., Padmanabhan, P. (2018). Many-Body Localization in Large-N Conformal Mechanics. In: Dobrev, V. (eds) Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2. LT-XII/QTS-X 2017. Springer Proceedings in Mathematics & Statistics, vol 255. Springer, Singapore. https://doi.org/10.1007/978-981-13-2179-5_9
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DOI: https://doi.org/10.1007/978-981-13-2179-5_9
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