Twisting singular solutions of Bethe's equations

Abstract

The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-defined. We use a twist regularization to derive conditions for such singular solutions to be physical, in which case they correspond to genuine eigenvalues and eigenvectors of the Hamiltonian.

10 pages; v2: references added; v3: introduction expanded, and more references added

References in corpus (5)

• The ODE/IM Correspondence
• A Shortcut to the Q-Operator
• Deformed strings in the Heisenberg model
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Singular Solutions to the Bethe Ansatz Equations and Rigged Configurations

Cited by in corpus (2)

• Effects of interactions on periodically driven dynamically localized systems
• Completing the solution for the $OSp(1|2)$ spin chain