Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Statistical Mechanics Theory and Experiment

Constructing a quantum Lax pair from Yang–Baxter equations

A. Lima-Santos

Published May 14, 2009• 1 citation
Publisher

Abstract

We show explicitly how to construct the quantum Lax pair for systems with open boundary conditions. We demonstrate the method by applying it to the Heisenberg XXZ model with general integrable boundary terms.
DOI
10.1088/1742-5468/2009/05/p05008

Related papers

Quantum Lax Pair From Yang-Baxter Equations

A. Lima-Santos

We show explicitly how to construct the quantum Lax pair for systems with open boundary conditions. We demonstrate the method by applying it to the Heisenberg XXZ model with general integrable boundary terms.

arXiv:solv-int/9912009•Dec 14, 1999•0 citations

LAX PAIR FORMULATION FOR ONE-DIMENSIONAL-LATTICE SPIN OPEN CHAINS

Huan-Qiang Zhou, 重庆大学应用物理系

The Lax pair formulation is presented for quantum completely integrable lattice spin open chains.Specifically,the Lax pair for the one-dimensional Heisenberg XXZ open chain with the general boundary terms is explicitly constructed.The construction provides an alternative and direct demonstration for the quantum integrability of the system.

Acta Physica Sinica•Jan 1, 1997•0 citations

Lax pair formulation for the one-dimensional HeisenbergXXZopen chain

Huan-Qiang Zhou

The Lax pair formulation is presented for completely integrable quantum lattice spin open chains. Specifically, the Lax pair for the one-dimensional Heisenberg XXZ open chain is explicitly constructed. Our construction provides an alternative and direct demonstration of the quantum integrability of the system.

Journal of Physics A Mathematical and General•Sep 21, 1996•5 citations

Lax Pair for the Hubbard Model from the Yang-Baxter Relation

Masahiro Shiroishi, Miki Wadati

Generalizing Zhang's method, we construct the quantum Lax pair of the one-dimensional Hubbard model from the Yang-Baxter relation.

Journal of the Physical Society of Japan•Jul 15, 1996•7 citations

Lax Pairs for Integrable Six—Vertex Model with Color Paramters

JUGuo-Xing

Using the colored Yang-Baxter equation,the Lax pairs for the system with color parameters and periodic boundary conditions are derived.The explicit expressions of the Lax pairs for the six-vertex standard R matrices of both the Baxter and free-Fermion types are given.

理论物理通讯：英文版•Jan 1, 2003•0 citations

Lax pair formulation for the open boundary Osp(1∣2) spin chain

Xiaoyu Zhang, Kun Hao

Abstract Based on the Lax pair formulation, we study the integrable conditions of the Osp(1∣2) spin chain with open boundaries. We consider both the non-graded and graded versions of the Osp(1∣2) chain. The Lax pair operators M ± for the boundaries can be induced by the Lax operator M j for the bulk of the system. They correspond to the reflection equations (RE) and the Yang–Baxter equation, respectively. We further calculate the boundary K-matrices for both the non-graded and graded versions of the model with open boundaries. The double row monodromy matrix and transfer matrix of the spin chain have also been constructed. The K-matrices obtained from the Lax pair formulation are consistent with those from Sklyanin’s RE. This construction is another way to prove the quantum integrability of the Osp(1∣2) chain. We find that the Lax pair formulation has advantages in dealing with the boundary terms of the supersymmetric model.

Communications in Theoretical Physics•Sep 1, 2022•0 citations
Abstract Based on the Lax pair formulation, we study the integrable conditions of the Osp(1∣2) spin chain with open boundaries. We consider both the non-graded and graded versions of the Osp(1∣2) chain. The Lax pair operators M ± for the boundaries can be induced by the Lax operator M j for the bulk of the system. They correspond to the reflection equations (RE) and the Yang–Baxter equation, respectively. We further calculate the boundary K-matrices for both the non-graded and graded versions of the model with open boundaries. The double row monodromy matrix and transfer matrix of the spin chain have also been constructed. The K-matrices obtained from the Lax pair formulation are consistent with those from Sklyanin’s RE. This construction is another way to prove the quantum integrability of the Osp(1∣2) chain. We find that the Lax pair formulation has advantages in dealing with the boundary terms of the supersymmetric model.