Affiliation:
1. Steklov Mathematical Institute
2. Moscow Institute of Steel and Alloys State Technological University
3. Russian Quantum Center
4. University of Amsterdam
Abstract
We study an integrable Floquet quantum system related to lattice statistical systems in the universality class of dense polymers. These systems are described by a particular non-unitary representation of the Temperley-Lieb algebra. We find a simple Lie algebra structure for the elements of Temperley-Lieb algebra which are invariant under shift by two lattice sites, and show how the local Floquet conserved charges and the Floquet Hamiltonian are expressed in terms of this algebra. The system has a phase transition between local and non-local phases of the Floquet Hamiltonian. We provide a strong indication that in the scaling limit this non-equilibrium system is described by the logarithmic conformal field theory.
Funder
Ministerie van Onderwijs, Cultuur en Wetenschap
Ministry of Science and Higher Education of the Russian Federation
National University of Science and Technology
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Russian Science Foundation
Subject
General Physics and Astronomy
Cited by
2 articles.
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