The exact solution for the energy spectrum of a one-dimensional Hamiltonian with local two-site interactions and periodic boundary conditions is determined. The two-site Hamiltonians commute with the symmetry algebra given by the Drinfeld double D(D-3) of the dihedral group D-3. As such the model describes local interactions between non-Abelian anyons, with fusion rules given by the tensor product decompositions of the irreducible representations of D(D-3). The Bethe ansatz equations which characterise the exact solution are found through the use of functional relations satisfied by a set of mutually commuting transfer matrices. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved
The Bethe Ansatz is a quantum mechanics approach that ties together a rich literature of mapping qua...
AbstractThe spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied vi...
We solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra ...
Chains of interacting non-Abelian anyons with local interactions invariant under the action of the D...
Chains of interacting non-Abelian anyons with local interactions invariant under the action of the D...
Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensi...
This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This...
AbstractStarting from the fusion rules for the algebra SO(5)2 we construct one-dimensional lattice m...
International audienceWe derive by the traditional Algebraic Bethe Ansatz method the Bethe equations...
We propose an exactly solvable model of one-dimensional anyons with competing δ-function and derivat...
Starting from the fusion rules for the algebra SO(5)2we construct one-dimensional lattice models of ...
Abstract The off-diagonal Bethe ansatz method is generalized to the integrable model associated with...
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigon...
43 pages, multiple figuresMotivated by a study of the crossing symmetry of the `gemini' representati...
The double row transfer matrix of the open O(N) spin chain is diagonalized and the Bethe Ansatz equa...
The Bethe Ansatz is a quantum mechanics approach that ties together a rich literature of mapping qua...
AbstractThe spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied vi...
We solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra ...
Chains of interacting non-Abelian anyons with local interactions invariant under the action of the D...
Chains of interacting non-Abelian anyons with local interactions invariant under the action of the D...
Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensi...
This paper gives a pedagogic derivation of the Bethe ansatz solution for 1D interacting anyons. This...
AbstractStarting from the fusion rules for the algebra SO(5)2 we construct one-dimensional lattice m...
International audienceWe derive by the traditional Algebraic Bethe Ansatz method the Bethe equations...
We propose an exactly solvable model of one-dimensional anyons with competing δ-function and derivat...
Starting from the fusion rules for the algebra SO(5)2we construct one-dimensional lattice models of ...
Abstract The off-diagonal Bethe ansatz method is generalized to the integrable model associated with...
By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigon...
43 pages, multiple figuresMotivated by a study of the crossing symmetry of the `gemini' representati...
The double row transfer matrix of the open O(N) spin chain is diagonalized and the Bethe Ansatz equa...
The Bethe Ansatz is a quantum mechanics approach that ties together a rich literature of mapping qua...
AbstractThe spin-12 XYZ model with both periodic and anti-periodic boundary conditions is studied vi...
We solve the spectrum of quantum spin chains based on representations of the Temperley-Lieb algebra ...