Integrable model of bosons in a four-well ring with anisotropic tunneling

Tonel, A.P., Ymai, L.H., Foerster, A. and Links, J. (2015) Integrable model of bosons in a four-well ring with anisotropic tunneling. Journal of Physics A: Mathematical and Theoretical, 48 49: . doi:10.1088/1751-8113/48/49/494001


Author Tonel, A.P.
Ymai, L.H.
Foerster, A.
Links, J.
Title Integrable model of bosons in a four-well ring with anisotropic tunneling
Journal name Journal of Physics A: Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8121
1751-8113
Publication date 2015-11-09
Year available 2015
Sub-type Article (original research)
DOI 10.1088/1751-8113/48/49/494001
Open Access Status Not yet assessed
Volume 48
Issue 49
Total pages 12
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Collection year 2016
Language eng
Abstract We introduce an integrable, four-well ring model for bosons where the tunneling couplings between nearest-neighbour wells are not restricted to be equal. We show how the model may be derived through the quantum inverse scattering method from a solution of the Yang–Baxter equation, and in turn solved by algebraic Bethe ansatz means. The model admits multiple pseudovacuum states. Numerical evidence is provided to indicate that all pseudovacua are required to obtain a complete set of Bethe eigenstates. The model has the notable property that there is a class of eigenstates which admit a simple, closed-form energy expression.
Keyword Bethe ansatz
Integrability
Tunneling
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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