Journal article

Gaudin models solver based on the correspondence between Bethe ansatz and ordinary differential equations

  • Faribault, Alexandre Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, München, Germany
  • Araby, Omar El Physics Department, University of Fribourg, Switzerland
  • Sträter, Christoph Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, München, Germany
  • Gritsev, Vladimir Physics Department, University of Fribourg, Switzerland
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    13.06.2011
Published in:
  • Physical Review B Condensed Matter and Materials Physics. - 2011, vol. 83, no. 23, p. 235124
English We present a numerical approach which allows the solving of Bethe equations whose solutions define the eigenstates of Gaudin models. By focusing on a different set of variables, the canceling divergences which occur for certain values of the coupling strength no longer appear explicitly. The problem is thus reduced to a set of quadratic algebraic equations. The required inverse transformation can then be realized using only linear operations and a standard polynomial root-finding algorithm. The method is applied to Richardson’s fermionic pairing model, the central spin model, and the generalized Dicke model.
Faculty
Faculté des sciences et de médecine
Department
Département de Physique
Language
  • English
Classification
Physics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/301995
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