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
Department
Physique
Language
  • English
Classification
Physics
License
License undefined
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Persistent URL
https://folia.unifr.ch/unifr/documents/301995
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