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

Mariam Gevorgyan, Stéphane Guérin, Claude Leroy, Artur Ishkhanyan, Hans Rudolf Jauslin

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Abstract: We develop the method of adiabatic tracking for photo- and magneto-association ofBose-Einstein atomic condensates with models that include Kerr type nonlinearities. Weshow that the inclusion of these terms can produce qualitatively important modificationsin the adiabatic dynamics, like the appearance of bifurcations, in which the trajectorythat is being tracked loses its stability. As a consequence the adiabatic theorem does notapply and the adiabatic transfer can be strongly degraded. This degradation can becompensated by using fields that are strong enough compared with the values of the Kerrterms. The main result is that, despite these potentially detrimental features, there isalways a choice of the detuning that leads to an efficient adiabatic tracking, even forrelatively weak fields. Graphical abstract: [Figure not available: see fulltext.]

Original languageEnglish
Article number253
JournalEuropean Physical Journal D
Volume70
Issue number12
DOIs
Publication statusPublished - 1 Dec 2016

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Bose-Einstein condensates
nonlinearity
condensates
theorems
inclusions
degradation

Keywords

  • Cold Matter and Quantum Gas

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities. / Gevorgyan, Mariam; Guérin, Stéphane; Leroy, Claude; Ishkhanyan, Artur; Jauslin, Hans Rudolf.

In: European Physical Journal D, Vol. 70, No. 12, 253, 01.12.2016.

Research output: Contribution to journalArticle

Gevorgyan, Mariam ; Guérin, Stéphane ; Leroy, Claude ; Ishkhanyan, Artur ; Jauslin, Hans Rudolf. / Adiabatic tracking for photo- and magneto-association of Bose-Einstein condensates with Kerr nonlinearities. In: European Physical Journal D. 2016 ; Vol. 70, No. 12.
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AU - Jauslin, Hans Rudolf

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AB - Abstract: We develop the method of adiabatic tracking for photo- and magneto-association ofBose-Einstein atomic condensates with models that include Kerr type nonlinearities. Weshow that the inclusion of these terms can produce qualitatively important modificationsin the adiabatic dynamics, like the appearance of bifurcations, in which the trajectorythat is being tracked loses its stability. As a consequence the adiabatic theorem does notapply and the adiabatic transfer can be strongly degraded. This degradation can becompensated by using fields that are strong enough compared with the values of the Kerrterms. The main result is that, despite these potentially detrimental features, there isalways a choice of the detuning that leads to an efficient adiabatic tracking, even forrelatively weak fields. Graphical abstract: [Figure not available: see fulltext.]

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