Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis

Rubeni, D., Links, J., Isaac, P. S. and Foerster, A. (2017) Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis. Physical Review A, 95 4: . doi:10.1103/PhysRevA.95.043607

Author Rubeni, D.
Links, J.
Isaac, P. S.
Foerster, A.
Title Two-site Bose-Hubbard model with nonlinear tunneling: classical and quantum analysis
Journal name Physical Review A   Check publisher's open access policy
ISSN 1094-1622
Publication date 2017-04-06
Year available 2017
Sub-type Article (original research)
DOI 10.1103/PhysRevA.95.043607
Open Access Status Not yet assessed
Volume 95
Issue 4
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract The extended Bose-Hubbard model for a double-well potential with atom-pair tunneling is studied. Starting with a classical analysis we determine the existence of three quantum phases: self-trapping, phase-locking, and Josephson states. From this analysis we build the parameter space of quantum phase transitions between degenerate and nondegenerate ground states driven by the atom-pair tunneling. Considering only the repulsive case, we confirm the phase transition by the measure of the energy gap between the ground state and the first excited state. We study the structure of the solutions of the Bethe ansatz equations for a small number of atoms. An inspection of the roots for the ground state suggests a relationship to the physical properties of the system. By studying the energy gap we find that the profile of the roots of the Bethe ansatz equations is related to a quantum phase transition.
Keyword Josephson-Junction
Q-Index Code C1
Q-Index Status Provisional Code
Grant ID 204615/2014-3
Institutional Status UQ

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