Nested algebraic Bethe ansatz for orthogonal and symplectic open spin chains

Abstract

We present a nested algebraic Bethe ansatz for one-dimensional open so(2n)- and sp(2n)-symmetric spin chains with diagonal boundary conditions and described by the extended twisted Yangian. We use a generalization of the Bethe ansatz introduced by De Vega and Karowski which allows us to relate the spectral problem of a so(2n)- or sp(2n)-symmetric open spin chain to that of a gl(n)-symmetric open spin chain. We explicitly derive the structure of Bethe vectors and the nested Bethe equations.

arXiv comment52 pages

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Cited by in corpus (5)

• Universal Kardar-Parisi-Zhang dynamics in integrable quantum systems
• Preparing exact eigenstates of the open XXZ chain on a quantum computer
• Nested algebraic Bethe ansatz for deformed orthogonal and symplectic spin chains
• Exact solutions of the $C_n$ quantum spin chain
• Algebraic Bethe ansatz for ${\mathfrak{o}}_{2n+1}$-invariant integrable models