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
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- English
- Classification
- Physics
- License
- License undefined
- Identifiers
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- RERO DOC 27253
- DOI 10.1103/PhysRevB.83.235124
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301995
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