TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.4.084
TI  - Integrable Floquet systems related to logarithmic conformal field theory
PY  - 2023/04/26
UR  - https://scipost.org/SciPostPhys.14.4.084
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 4
SP  - 084
A1  - Yashin, Vsevolod I.
AU  - Kurlov, Denis V.
AU  - Fedorov, Aleksey K.
AU  - Gritsev, Vladimir
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.14.4.084,
	title={{Integrable Floquet systems related to logarithmic conformal field theory}},
	author={Vsevolod I. Yashin and Denis V. Kurlov and Aleksey K. Fedorov and Vladimir Gritsev},
	journal={SciPost Phys.},
	volume={14},
	pages={084},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.4.084},
	url={https://scipost.org/10.21468/SciPostPhys.14.4.084},
}