Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model

Abstract

We rigorously prove that the local conserved quantities in the one-dimensional Hubbard model are uniquely determined for each locality up to the freedom to add lower-order ones. From this, we can conclude that the local conserved quantities are exhausted by those obtained from the expansion of the transfer matrix.

Corrected typographical errors, included examples of the commutator in Equations (28)-(35), added Reference [10], and provided a brief explanation of the claims of the lemmas before presenting them

References in corpus (4)

• Proof of absence of local conserved quantities in the mixed-field Ising chain
• All Local Conserved Quantities of the One-Dimensional Hubbard Model
• All local conserved quantities of the XXZ model
• Matrix product operator representations for the local conserved quantities of the Heisenberg chain

Cited by in corpus (3)

• Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction
• Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice
• Absence of local conserved charges of the Fredkin spin chain and its truncated versions