All Local Conserved Quantities of the One-Dimensional Hubbard Model

Abstract

We present the exact expression for all local conserved quantities of the one-dimensional Hubbard model. We identify the operator basis constructing the local charges and find that nontrivial coefficients appear in the higher-order charges. We derive the recursion equation for these coefficients, and some of them are explicitly given. There are no other local charges independent of those we obtained.

arXiv comment6 pages, 3 figures for main text + 43 pages, 4 figures for supplemental material, v5: corrected typos, changed the symbol "I" to a dotted circle, and added proof of positivity of coefficients in supplemental material

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Cited by in corpus (8)

• Proof of absence of local conserved quantities in the mixed-field Ising chain
• Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction
• Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model
• Finding local integrals of motion in quantum lattice models in the thermodynamic limit
• Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice
• Proof of the absence of local conserved quantities in general spin-1/2 chains with symmetric nearest-neighbor interaction
• Complete Classification of Integrability and Non-integrability for Spin-1/2 Chain with Symmetric Nearest-Neighbor Interaction
• Absence of local conserved charges of the Fredkin spin chain and its truncated versions