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

arXiv:1508.04997 · Journal of Physics A Mathematical and Theoretical

Bethe states of the integrable spin- s chain with generic open boundaries

Lijun Yang, Xin Zhang, Junpeng Cao, Wen‐Li Yang, Kangjie Shi, Yupeng Wang

Published Nov 24, 2015• 1 citation
arXivHTMLPDF

Abstract

Abstract Based on the inhomogeneous T – Q relation and the associated Bethe ansatz equations obtained via the off-diagonal Bethe ansatz, we construct the Bethe-type eigenstates of the SU (2)-invariant spin- s chain with generic non-diagonal boundaries by employing certain orthogonal basis of the Hilbert space.
DOI
10.1088/1751-8113/49/1/014001

Related papers

Retrieve the Bethe states of quantum integrable models solved via off-diagonal Bethe Ansatz

Xin Zhang, Li, Yuan-Yuan, Cao, Junpeng +3 more

Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin-1/2 chain as examples, we show that for a given inhomogeneous T-Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.

arXiv:1407.5294•Jul 20, 2014•4 citations

Exact spectrum of the spin-s Heisenberg chain with generic non-diagonal boundaries

Junpeng Cao, Shuai Cui, Wen‐Li Yang +2 more

The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundaries as an example. With the fusion techniques, certain closed operator identities for constructing the functional T − Q relations and the Bethe ansatz equations are derived. It is found that a variety of inhomogeneous T − Q relations obeying the operator product identities can be constructed. Numerical results for two-site s = 1 case indicate that an arbitrary choice of the derived T − Q relations is enough to give the complete spectrum of the transfer matrix.

arXiv:1405.2692•Journal of High Energy Physics•Feb 1, 2015•20 citations

Retrieve the Bethe states of quantum integrable models solved via the off-diagonal Bethe Ansatz

Xin Zhang, Yuan-Yuan Li, Junpeng Cao +3 more

Based on the inhomogeneous T – Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin- 1 2 chain as examples, we show that for a given inhomogeneous T – Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.

Journal of Statistical Mechanics Theory and Experiment•May 18, 2015•22 citations

4 Retrieve the Bethe states of quantum integrable models solved via off-diagonal Bethe ansatz

Junpeng Caoa, Wen-li Yangc, Kangjie Shic +1 more

Based on the inhomogeneous T–Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin- chain as examples, we show that for a given inhomogeneous T–Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.

•Aug 17, 2016•19 citations

Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries

Junpeng Cao, Wen‐Li Yang, Kangjie Shi +1 more

The nested off-diagonal Bethe ansatz method is proposed to diagonalize multi-component integrable models with generic integrable boundaries. As an example, the exact solutions of the su(n)-invariant spin chain model with both periodic and non-diagonal boundaries are derived by constructing the nested T − Q relations based on the operator product identities among the fused transfer matrices and the asymptotic behavior of the transfer matrices.

arXiv:1312.4770•Journal of High Energy Physics•Apr 1, 2014•37 citations

Exact solution of the XXZ alternating spin chain with generic non-diagonal boundaries

Cao, Junpeng, Wen‐Li Yang, Kangjie Shi +1 more

The integrable XXZ alternating spin chain with generic non-diagonal boundary terms specified by the most general non-diagonal K-matrices is studied via the off-diagonal Bethe Ansatz method. Based on the intrinsic properties of the fused R-matrices and K-matrices, we obtain certain closed operator identities and conditions, which allow us to construct an inhomogeneous T-Q relation and the associated Bethe Ansatz equations accounting for the eigenvalues of the transfer matrix.

arXiv:1409.3646•Sep 12, 2014•5 citations
Based on the inhomogeneous T-Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin-1/2 chain as examples, we show that for a given inhomogeneous T-Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.
The off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundaries as an example. With the fusion techniques, certain closed operator identities for constructing the functional T − Q relations and the Bethe ansatz equations are derived. It is found that a variety of inhomogeneous T − Q relations obeying the operator product identities can be constructed. Numerical results for two-site s = 1 case indicate that an arbitrary choice of the derived T − Q relations is enough to give the complete spectrum of the transfer matrix.
Based on the inhomogeneous T – Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin- 1 2 chain as examples, we show that for a given inhomogeneous T – Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.
Based on the inhomogeneous T–Q relation constructed via the off-diagonal Bethe Ansatz, a systematic method for retrieving the Bethe-type eigenstates of integrable models without obvious reference state is developed by employing certain orthogonal basis of the Hilbert space. With the XXZ spin torus model and the open XXX spin- chain as examples, we show that for a given inhomogeneous T–Q relation and the associated Bethe Ansatz equations, the constructed Bethe-type eigenstate has a well-defined homogeneous limit.