Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions
Reads0
Chats0
TLDR
In this article, a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relations.Abstract:
We present a generalization of the coordinate Bethe ansatz that allows us to solve integrable open XXZ and ASEP models with non-diagonal boundary matrices, provided their parameters obey some relations. These relations extend the ones already known in the literature in the context of the algebraic or functional Bethe ansatz. The eigenvectors are represented as sums over cosets of the BCn Weyl group.read more
Citations
More filters
Journal ArticleDOI
Heisenberg XXX Model with General Boundaries: Eigenvectors from Algebraic Bethe Ansatz
Samuel Belliard,Nicolas Crampé +1 more
TL;DR: In this article, a generalization of the algebraic Bethe ansatz is proposed to obtain the eigenvectors of the Heisenberg spin chain with general boundaries associated to eigenvalues and the Bethe equations.
Journal ArticleDOI
The half-infinite XXZ chain in Onsagerʼs approach
Pascal Baseilhac,Samuel Belliard +1 more
TL;DR: In this paper, the half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed Onsager approach, and it is shown that the transfer matrix is simply expressed in terms of the elements of a new type of current algebra.
Journal ArticleDOI
Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: complete spectrum and matrix elements of some quasi-local operators
TL;DR: In this article, the integrable quantum models associated with the transfer matrices of the 6-vertex reflection algebra for spin-1/2 representations are studied in the framework of Sklyanin's quantum separation of variables (SOV).
Journal ArticleDOI
Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
TL;DR: In this article, the authors use the quantum separation of variable (SOV) method to construct the eigenstates of the open XXZ chain with the most general boundary terms.
Journal ArticleDOI
The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
TL;DR: In this article, the authors consider one-dimensional bulk-driven particle gases, and in particular the asymmetric simple exclusion process (ASEP) with open boundaries, and focus on the current of particles flowing through the system in its steady state, and on its fluctuations.
References
More filters
Journal ArticleDOI
Zur Theorie der Metalle
TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
Journal ArticleDOI
On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
Journal ArticleDOI
Boundary conditions for integrable quantum systems
TL;DR: In this paper, a new class of boundary conditions for quantum systems integrable by means of the quantum inverse scattering (R-matrix) method is described, which allows the author to treat open quantum chains with appropriate boundary terms in the Hamiltonian.
Journal ArticleDOI
Exact solution of a 1d asymmetric exclusion model using a matrix formulation
TL;DR: In this paper, a new approach based on representing the weights of each configuration in the steady state as a product of noncommuting matrices is presented, and the whole solution of the fully asymmetric exclusion problem is reduced to finding two matrices and two vectors which satisfy very simple algebraic rules.