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

Chinese Physics Letters

Integrability of the Inozemtsev Spin Chain with Open Boundary Conditions

薛卫星, 王玉鹏

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

A long range interacting quantum spin chain with open boundary conditions is proposed. By constructing the reflection spin-Dunkl operators, the integrability of the model is proven. The model is therefore exactly solvable via the asymptotic Bethe ansatz method and falls into the universal class of the usual Heisenberg spin chain with boundary fields.

Related papers

Integrability of the Inozemtsev Spin Chain with Open Boundary Conditions

Xue Wei-Xing, Yupeng Wang

A long range interacting quantum spin chain with open boundary conditions is proposed. By constructing the reflection spin-Dunkl operators, the integrability of the model is proven. The model is therefore exactly solvable via the asymptotic Bethe ansatz method and falls into the universal class of the usual Heisenberg spin chain with boundary fields.

Chinese Physics Letters•Feb 19, 2004•4 citations

Integrable quantum spin chains

Anastasia Doikou

Integrable quantum spin chains are exactly solvable quantum mechanical models of N quantum spins, of which the Heisenberg model solved by Bethe is the prototype. In the antiferromagnetic regime, such spin chains can be regarded as lattice versions of corresponding integrable relativistic quantum field theories. For integrable spin chains, quantities of physical interest (spectrum, S matrix, etc.) can be calculated exactly by direct means, starting from the microscopic Hamiltonian, while for the corresponding field theories, such exact information has been primarily obtained by indirect means, such as the “ bootstrap ” approach and semiclassical approximations. We have been focused basically on the Heisenberg XXX and XXZ chains and their generalizations. Basic aims of this work were the study of the symmetries of these models and the computation, by means of Bethe ansatz equations, of the bulk and boundary S matrices for the closed and open chains respectively...

•Jan 1, 1999•0 citations

Exact solution of an integrable quantum spin chain with competing interactions*

Jian Wang, Yi Qiao, Junpeng Cao +1 more

We construct an integrable quantum spin chain that includes the nearest-neighbor, next-nearest-neighbor, chiral three-spin couplings, Dzyloshinsky–Moriya interactions and unparallel boundary magnetic fields. Although the interactions in bulk materials are isotropic, the spins nearby the boundary fields are polarized, which induce the anisotropic exchanging interactions of the first and last bonds. The U(1) symmetry of the system is broken because of the off-diagonal boundary reflections. Using the off-diagonal Bethe ansatz, we obtain an exact solution to the system. The inhomogeneous T–Q relation and Bethe ansatz equations are given explicitly. We also calculate the ground state energy. The method given in this paper provides a general way to construct new integrable models with certain interesting interactions.

Chinese Physics B•Apr 22, 2021•1 citation

On the Quantum Integrability for A Model of Coupled XY Chains

Huan-Qiang Zhou, Xiangyu Ge

The paper discusses integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of integrable boundary terms are determined. The boundary model Hamiltonian is solved by using the coordinate space Bethe ansatz technique and Bathe ansatz equations are derived.

•Jan 1, 1999•0 citations

Quantum spin chain with `soliton non-preserving' boundary conditions

Anastasia Doikou

We consider the case of an integrable quantum spin chain with `soliton non-preserving' boundary conditions. This is the first time that such boundary conditions have been considered in the spin chain framework. We construct the transfer matrix of the model, we study its symmetry and we find explicit expressions for its eigenvalues. Moreover, we derive a new set of Bethe ansatz equations by means of the analytical Bethe ansatz method.

arXiv:hep-th/0006197•Journal of Physics A Mathematical and General•Nov 24, 2000•50 citations

Spectrum of the quantum integrable $$ {D}_2^{(2)} $$ spin chain with generic boundary fields

Guang-Liang Li, Junpeng Cao, Wen‐Li Yang +2 more

Abstract Exact solution of the quantum integrable $$ {D}_2^{(2)} $$ D 2 2 spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered anisotropic XXZ spin chains. Based on this identity, the eigenvalues and Bethe ansatz equations of the $$ {D}_2^{(2)} $$ D 2 2 model are derived via off-diagonal Bethe ansatz.

arXiv:2202.06531•Journal of High Energy Physics•Apr 19, 2022•6 citations
A long range interacting quantum spin chain with open boundary conditions is proposed. By constructing the reflection spin-Dunkl operators, the integrability of the model is proven. The model is therefore exactly solvable via the asymptotic Bethe ansatz method and falls into the universal class of the usual Heisenberg spin chain with boundary fields.
Integrable quantum spin chains are exactly solvable quantum mechanical models of N quantum spins, of which the Heisenberg model solved by Bethe is the prototype. In the antiferromagnetic regime, such spin chains can be regarded as lattice versions of corresponding integrable relativistic quantum field theories. For integrable spin chains, quantities of physical interest (spectrum, S matrix, etc.) can be calculated exactly by direct means, starting from the microscopic Hamiltonian, while for the corresponding field theories, such exact information has been primarily obtained by indirect means, such as the “ bootstrap ” approach and semiclassical approximations. We have been focused basically on the Heisenberg XXX and XXZ chains and their generalizations. Basic aims of this work were the study of the symmetries of these models and the computation, by means of Bethe ansatz equations, of the bulk and boundary S matrices for the closed and open chains respectively...
We construct an integrable quantum spin chain that includes the nearest-neighbor, next-nearest-neighbor, chiral three-spin couplings, Dzyloshinsky–Moriya interactions and unparallel boundary magnetic fields. Although the interactions in bulk materials are isotropic, the spins nearby the boundary fields are polarized, which induce the anisotropic exchanging interactions of the first and last bonds. The U(1) symmetry of the system is broken because of the off-diagonal boundary reflections. Using the off-diagonal Bethe ansatz, we obtain an exact solution to the system. The inhomogeneous T–Q relation and Bethe ansatz equations are given explicitly. We also calculate the ground state energy. The method given in this paper provides a general way to construct new integrable models with certain interesting interactions.
Spectrum of the quantum integrable D2(2) {D}_2^{(2)} D2(2)​ spin chain with generic boundary fields
Abstract Exact solution of the quantum integrable D2(2) {D}_2^{(2)} D2(2)​ D 2 2 spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered anisotropic XXZ spin chains. Based on this identity, the eigenvalues and Bethe ansatz equations of the D2(2) {D}_2^{(2)} D2(2)​ D 2 2 model are derived via off-diagonal Bethe ansatz.