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.

6 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

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Experimental Observation of a Generalized Gibbs Ensemble
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Generalized Thermalization in an Integrable Lattice System
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Algebraic construction of current operators in integrable spin chains
• Quantum many-body scars in spin models with multibody interactions
• All local conserved quantities of the XXZ model

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