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Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities

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Abstract

We develop the method of adiabatic tracking for photo- and magneto-association of Bose-Einstein atomic condensates with models that include Kerr type nonlinearities. We show that the inclusion of these terms can produce qualitatively important modifications in the adiabatic dynamics, like the appearance of bifurcations, in which the trajectory that is being tracked loses its stability. As a consequence the adiabatic theorem does not apply and the adiabatic transfer can be strongly degraded. This degradation can be compensated by using fields that are strong enough compared with the values of the Kerr terms. The main result is that, despite these potentially detrimental features, there is always a choice of the detuning that leads to an efficient adiabatic tracking, even for relatively weak fields.

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Authors and Affiliations

  1. Laboratoire Interdisciplinaire Carnot de Bourgogne, CNRS UMR 6303, Université de Bourgogne Franche Comté, BP 47870, 21078, Dijon, France

    Mariam Gevorgyan, Stéphane Guérin, Claude Leroy & Hans-Rudolf Jauslin

  2. Institute for Physical Research NAS of Armenia, 0203, Ashtarak-2, Armenia

    Mariam Gevorgyan & Artur Ishkhanyan

  3. Armenian State Pedagogical University, Yerevan 0010, Armenia – Institute of Physics and Technology, National Research Tomsk Polytechnic University, Tomsk, 634050, Russia

    Artur Ishkhanyan

Authors
  1. Mariam Gevorgyan
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  2. Stéphane Guérin
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  3. Claude Leroy
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  4. Artur Ishkhanyan
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  5. Hans-Rudolf Jauslin
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Correspondence to Stéphane Guérin.

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Gevorgyan, M., Guérin, S., Leroy, C. et al. Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities. Eur. Phys. J. D 70, 253 (2016). https://doi.org/10.1140/epjd/e2016-70396-9

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  • DOI: https://doi.org/10.1140/epjd/e2016-70396-9

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