A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer

Links, Jon and Zhao, Shao-You (2009) A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer. Journal of Statistical Mechanics: Theory and Experiment, 2009 3: 1-16.


Author Links, Jon
Zhao, Shao-You
Title A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2009-03-06
Sub-type Article (original research)
DOI 10.1088/1742-5468/2009/03/P03013
Volume 2009
Issue 3
Start page 1
End page 16
Total pages 16
Place of publication Bristol, United Kingdom
Publisher Institute of Physics
Collection year 2010
Language eng
Subject C1
970101 Expanding Knowledge in the Mathematical Sciences
010502 Integrable Systems (Classical and Quantum)
Abstract We employ an exact Bethe ansatz solution to study the repulsive Bose–Hubbard dimer model. Using a continuum approximation we solve for the ground state root density and in turn compute the ground state energy per particle. The formula so obtained is accurate for a finite-sized system in the weak coupling limit. Surprisingly, the formula diverges from the numerically calculated value as the number of particles increases. This indicates that the formula fails to predict the ground state energy per particle in the thermodynamic limit.
Keyword Quantum integrability (Bethe ansatz)
Rigorous results in statistical mechanics
Solvable lattice models
Thermodynamic Bethe ansatz
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Created: Fri, 04 Sep 2009, 10:29:40 EST