Conserved Charges of Series of Solvable Lattice Models
arXiv:2410.20798 · doi:10.1016/j.nuclphysb.2025.116844
Abstract
An infinite number of solvable Hamiltonians, including the transverse Ising chain, the XY chain with an external field, the cluster model with next-nearest-neighbor x-x interactions, or with next-nearest-neighbor z-z interactions, and other solvable models that can be mapped to the free fermion system are considered. All the conserved charges of these models written by the string-type products of the interactions are obtained. In the case of the transverse Ising chain, all the known charges are rederived, and in the case of the other models, new conserved charges are obtained.
arXiv comment18 pages, 2 tables
References in corpus (12)
- Reduced Density Matrix after a Quantum Quench
- Structure of the conservation laws in integrable spin chains with short range interactions
- sl(N) Onsager's Algebra and Integrability
- Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
- Explicit Construction of Local Conserved Quantities in the XYZ Spin-1/2 Chain
- Sound velocity peak and conformality in isospin QCD
- A new class of completely integrable quantum spin chains
- Proof of absence of local conserved quantities in the mixed-field Ising chain
- Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c=m/2
- Geometric Criterion for Solvability of Lattice Spin Systems
- Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations
- Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO() spin chains