Article (Scientific journals)
Algebraic Bethe ansätze and eigenvalue-based determinants for Dicke–Jaynes–Cummings–Gaudin quantum integrable models
Tschirhart, Hugo; Faribault, Alexandre
2014In Journal of Physics. A, Mathematical and Theoretical, 47
Peer Reviewed verified by ORBi
 

Files


Full Text
tschirhart2014.pdf
Publisher postprint (375.35 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Keywords :
Integrability; Gaudin models; Algebraic Bethe Ansatz
Abstract :
[en] In this work, we construct an alternative formulation to the traditional Algebraic Bethe ansatz for quantum integrable models derived from a generalised rational Gaudin algebra realised in terms of a collection of spins 1/2 coupled to a single bosonic mode. The ensemble of resulting models which we call Dicke-Jaynes-Cummings-Gaudin models are particularly relevant for the description of light-matter interaction in the context of quantum optics. Having two distinct ways to write any eigenstate of these models we then combine them in order to write overlaps and form factors of local operators in terms of partition functions with domain wall boundary conditions. We also demonstrate that they can all be written in terms of determinants of matrices whose entries only depend on the eigenvalues of the conserved charges. Since these eigenvalues obey a much simpler set of quadratic Bethe equations, the resulting expressions could then offer important simplifications for the numerical treatment of these models.
Disciplines :
Physics
Author, co-author :
Tschirhart, Hugo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Faribault, Alexandre
External co-authors :
yes
Language :
English
Title :
Algebraic Bethe ansätze and eigenvalue-based determinants for Dicke–Jaynes–Cummings–Gaudin quantum integrable models
Publication date :
23 September 2014
Journal title :
Journal of Physics. A, Mathematical and Theoretical
ISSN :
1751-8121
Publisher :
IoP
Volume :
47
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Available on ORBilu :
since 07 December 2017

Statistics


Number of views
52 (3 by Unilu)
Number of downloads
195 (4 by Unilu)

Scopus citations®
 
19
Scopus citations®
without self-citations
15
OpenCitations
 
19
WoS citations
 
18

Bibliography


Similar publications



Contact ORBilu