TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.12.5.175
TI  - Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations
PY  - 2022/05/25
UR  - https://scipost.org/SciPostPhys.12.5.175
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 12
IS  - 5
SP  - 175
A1  - Gamayun, Oleksandr
AU  - Lychkovskiy, Oleg
AB  - The Kitaev model on the honeycomb lattice, while being integrable via the spin-fermion mapping, has generally resisted an analytical treatment of the far-from-equilibrium dynamics due to the extensive number of relevant configurations of conserved charges. Here we study a close proxy of this model, the isotropic Kitaev spin-$1/2$ model on the Bethe lattice. Instead of relying on the spin-fermion mapping, we take a straightforward approach of solving Heisenberg equations for a tailored subset of spin operators. The simplest operator in this subset corresponds to the energy contribution of a single bond direction. As an example, we calculate the time-dependent expectation value of this observable for a factorized translation-invariant (or staggered-translation-invariant) initial state with arbitrary initial (staggered) polarization.
ER  -

@Article{10.21468/SciPostPhys.12.5.175,
	title={{Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations}},
	author={Oleksandr Gamayun and Oleg Lychkovskiy},
	journal={SciPost Phys.},
	volume={12},
	pages={175},
	year={2022},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.12.5.175},
	url={https://scipost.org/10.21468/SciPostPhys.12.5.175},
}