TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.069
TI  - Matrix product operator representations for the local conserved quantities of the Heisenberg chain
PY  - 2023/10/19
UR  - https://scipost.org/SciPostPhysCore.6.4.069
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 069
A1  - Yamada, Kyoichi
AU  - Fukai, Kouhei
AB  - We present the explicit expressions for the matrix product operator (MPO) representation for the local conserved quantities of the Heisenberg chain. The bond dimension of the MPO grows linearly with the locality of the charges. The MPO has more simple form than the local charges themselves, and their Catalan tree patterns naturally emerge from the matrix products. The MPO representation of local conserved quantities is generalized to the integrable SU(N) invariant spin chain.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.069,
	title={{Matrix product operator representations for the local conserved quantities of the Heisenberg chain}},
	author={Kyoichi Yamada and Kohei Fukai},
	journal={SciPost Phys. Core},
	volume={6},
	pages={069},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.069},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.069},
}