Eigenvectors of open XXZ and ASEP models for a class of non-diagonal boundary conditions

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 algebraic or functional Bethe ansatz. The eigenvectors are represented as sums over cosets of the $B{C}_n$ Weyl group.

typos corrected, references updated, accepted in J. Stat. Mech

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• Functional Bethe ansatz methods for the open XXX chain
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Cited by in corpus (18)

• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• Introduction to classical and quantum integrability
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Algebraic Bethe Ansatz for the XXZ Gaudin Models with Generic Boundary
• A reverse duality for the ASEP with open boundaries
• Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
• Long time asymptotics of the totally asymmetric simple exclusion process
• Coordinate Bethe Ansatz for Spin s XXX Model
• Correlation functions for open XXZ spin 1/2 quantum chains with unparallel boundary magnetic fields
• KPZ fluctuations in finite volume
• Markov duality and Bethe ansatz formula for half-line open ASEP
• All correlation functions of the open XXX spin 1/2 quantum chains for unparallel boundary magnetic fields with one constraint
• Effects of Quantum Pair Creation and Annihilation on a Classical Exclusion Process: the transverse XY model with TASEP
• Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
• The solution of an open XXZ chain with arbitrary spin revisited
• On correlation functions for the open XXZ chain with non-longitudinal boundary fields : the case with a constraint