Reference : Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitra... |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Physics | |||

Physics and Materials Science | |||

http://hdl.handle.net/10993/33489 | |||

Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields | |

English | |

Faribault, Alexandre [> >] | |

Tschirhart, Hugo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >] | |

4-Aug-2017 | |

SciPost Physics | |

Yes | |

International | |

[en] Magnetic fields ; Gaudin models ; Integrability | |

[en] In this work we demonstrate a simple way to implement the quantum inverse scattering
method to find eigenstates of spin-1/2 XXX Gaudin magnets in an arbitrarily oriented magnetic field. The procedure differs vastly from the most natural approach which would be to simply orient the spin quantisation axis in the same direction as the magnetic field through an appropriate rotation. Instead, we define a modified realisation of the rational Gaudin algebra and use the quantum inverse scattering method which allows us, within a slightly modified imple- mentation, to build an algebraic Bethe ansatz using the same unrotated reference state (pseudovacuum) for any external field. This common framework allows us to easily write determinant expressions for certain scalar products which would be highly non-trivial in the rotated system approach. | |

http://hdl.handle.net/10993/33489 | |

10.21468/SciPostPhys.3.2.009 |

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