Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains

@article{Gerrard2019NestedAB,
  title={Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains},
  author={Allan Gerrard and Vidas Regelskis},
  journal={Nuclear Physics B},
  year={2019}
}
View PDF on arXiv
6 Citations
Methods Citations
1

6 Citations

Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains

Exact solutions of the C quantum spin chain

Preparing exact eigenstates of the open XXZ chain on a quantum computer

The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model with open boundary conditions. We formulate a quantum algorithm for…

Algebraic Bethe ansatz for $$\mathfrak o_{2n+1}$$ -invariant integrable models

Abstract We study the class of $$ \mathfrak{o} _{2n+1}$$ -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the $$ \mathfrak{o}…

Universal Kardar-Parisi-Zhang Dynamics in Integrable Quantum Systems.

Although the Bethe ansatz solution of the spin-1/2 Heisenberg model dates back nearly a century, the anomalous nature of its high-temperature transport dynamics has only recently been uncovered.…

ALGEBRAIC BETHE ANSATZ FOR o 2 n +1 -INVARIANT INTEGRABLE MODELS

We study the class of o 2 n +1 -invariant quantum integrable models in the framework of the algebraic Bethe ansatz and propose a construction of the o 2 n +1 -invariant Bethe vector in terms of the…

References

SHOWING 1-10 OF 52 REFERENCES

Nested Algebraic Bethe Ansatz in integrable models: recent results

We review the recent results we have obtained in the framework of algebraic Bethe ansatz based on algebras and superalgebras of rank greater than 1 or on their quantum deformation. We present…

Nonstandard Bethe Ansatz equations for open O(N) spin chains

The algebraic Bethe ansatz for rational braid-monoid lattice models

The nested Bethe ansatz for ‘all’ open spin chains with diagonal boundary conditions

We present in a unified and detailed way the nested Bethe ansatz for open spin chains based on or (super)algebras, with arbitrary representations (i.e., ‘spins’) on each site of the chain and…

Bethe ansatz equations and exact S matrices for the osp(M|2n) open super spin chain

Exact Bethe ansatz solution of O(2N) symmetric theories

Scalar products of Bethe vectors in the models with gl(m|n) symmetry

Classification of reflection matrices related to (super-)Yangians and application to open spin chain models

The algebraic Bethe ansatz and quantum integrable systems

Methods are considered for applying an algebra with bilinear commutation relations to the theory of quantum integrable systems. This survey describes most of the results obtained in this area over…

Algebraic Bethe Ansatz for O(2N) sigma models with integrable diagonal boundaries

A bstractThe finite volume problem of O(2N) sigma models with integrable diagonal boundaries on a finite interval is investigated. The double row transfer matrix is diagonalized by Algebraic Bethe…
...