Article (Scientific journals)
Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
Faribault, Alexandre; Tschirhart, Hugo
2017In SciPost Physics
Peer reviewed
 

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Keywords :
Magnetic fields; Gaudin models; Integrability
Abstract :
[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.
Disciplines :
Physics
Author, co-author :
Faribault, Alexandre
Tschirhart, Hugo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
External co-authors :
yes
Language :
English
Title :
Common framework and quadratic Bethe equations for rational Gaudin magnets in arbitrarily oriented magnetic fields
Publication date :
04 August 2017
Journal title :
SciPost Physics
Peer reviewed :
Peer reviewed
Focus Area :
Physics and Materials Science
Available on ORBilu :
since 07 December 2017

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