Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate

Zhou, H. Q., Links, J. and McKenzie, R. H. (2003) Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate. International Journal of Modern Physics B, 17 31-32: 5819-5828. doi:10.1142/S0217979203023203


Author Zhou, H. Q.
Links, J.
McKenzie, R. H.
Title Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose-Einstein condensate
Journal name International Journal of Modern Physics B   Check publisher's open access policy
ISSN 0217-9792
Publication date 2003-01-01
Sub-type Article (original research)
DOI 10.1142/S0217979203023203
Volume 17
Issue 31-32
Start page 5819
End page 5828
Total pages 10
Editor D Spanjaard
Place of publication Singapore
Publisher World Scientific Publishing Company
Language eng
Subject C1
780101 Mathematical sciences
240201 Theoretical Physics
Abstract 0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.
Keyword Physics, Condensed Matter
Physics, Mathematical
Bose-einstein Condensates
Quantum Dynamics
Scaling
Bethe Ansatz
Form Factors
Algebraic Bethe Ansatz
Optics
Physics, Applied
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 12:57:08 EST