Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie; Chunguang Wang

doi:10.1088/1751-8113/47/50/505004

Twisting singular solutions of Bethe's equations

Rafael I. Nepomechie, Chunguang Wang

Physics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

The Bethe equations for the periodic XXX and XXZ spin chains admit singular solutions, for which the corresponding eigenvalues and eigenvectors are ill-de fined. 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.

Original language	English (US)
Article number	505004
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	50
DOIs	https://doi.org/10.1088/1751-8113/47/50/505004
State	Published - Dec 19 2014

Keywords

Bethe ansatz
Quantum spin chain
Singular solutions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modeling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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Cite this

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title = "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-de fined. 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.",

keywords = "Bethe ansatz, Quantum spin chain, Singular solutions",

author = "Nepomechie, {Rafael I.} and Chunguang Wang",

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AU - Nepomechie, Rafael I.

AU - Wang, Chunguang

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KW - Quantum spin chain

KW - Singular solutions

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Twisting singular solutions of Bethe's equations

Abstract

Keywords

ASJC Scopus subject areas

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