Matrix product operator representations for the local conserved quantities of the Heisenberg chain

Autor: Kyoichi Yamada, Kohei Fukai
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: SciPost Physics Core, Vol 6, Iss 4, p 069 (2023)
Druh dokumentu: article
ISSN: 2666-9366
DOI: 10.21468/SciPostPhysCore.6.4.069
Popis: 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.
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