Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included
| Autor: | Kalle-Antti Suominen, Claude Leroy, Hans-Rudolf Jauslin, Ruzan Sokhoyan, Artur Ishkhanyan |
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| Přispěvatelé: | Institute of Physical Research, National Academy of Sciences of Armenia, Laboratoire Interdisciplinaire Carnot de Bourgogne ( LICB ), Université de Bourgogne ( UB ) -Centre National de la Recherche Scientifique ( CNRS ), Institute for Physical Research ( IPR ), Department of Physics and Astronomy [Turku], University of Turku, LIA IRMAS, National Academy of Sciences of the Republic of Armenia [Yerevan] (NAS RA), Laboratoire Interdisciplinaire Carnot de Bourgogne (LICB), Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS), Institute for Physical Research (IPR) |
| Rok vydání: | 2009 |
| Předmět: |
[ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]
FOS: Physical sciences 01 natural sciences 010305 fluids & plasmas law.invention Quadratic equation [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] law Simple (abstract algebra) 0103 physical sciences Level crossing and optical pumping Limit (mathematics) 010306 general physics Condensed Matter::Quantum Gases Elastic scattering Physics Other Bose-Einstein condensation phenomena Time evolution Atomic and Molecular Physics and Optics 3. Good health Nonlinear system Classical mechanics Quantum Gases (cond-mat.quant-gas) Laser-modified scattering and reactions Zener diode Condensed Matter - Quantum Gases Bose–Einstein condensate |
| Zdroj: | The European Physical Journal D The European Physical Journal D, EDP Sciences, 2010, 56, pp.421-429. 〈10.1140/epjd/e2009-00310-7〉 The European Physical Journal D : Atomic, molecular, optical and plasma physics The European Physical Journal D : Atomic, molecular, optical and plasma physics, EDP Sciences, 2010, 56, pp.421-429. ⟨10.1140/epjd/e2009-00310-7⟩ |
| ISSN: | 1434-6079 1434-6060 |
| DOI: | 10.1140/epjd/e2009-00310-7 |
| Popis: | We study the strong coupling limit of a quadratic-nonlinear Landau-Zener problem for coherent photo- and magneto-association of cold atoms taking into account the atom-atom, atom-molecule, and molecule-molecule elastic scattering. Using an exact third-order nonlinear differential equation for the molecular state probability, we develop a variational approach which enables us to construct a highly accurate and simple analytic approximation describing the time dynamics of the coupled atom-molecule system. We show that the approximation describing time evolution of the molecular state probability can be written as a sum of two distinct terms; the first one, being a solution to a limit first-order nonlinear equation, effectively describes the process of the molecule formation while the second one, being a scaled solution to the linear Landau-Zener problem (but now with negative effective Landau-Zener parameter as long as the strong coupling regime is considered), corresponds to the remaining oscillations which come up when the process of molecule formation is over. 19 pages, 7 figures, accepted for publication in Eur. Phys. J. D |
| Databáze: | OpenAIRE |
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