http://www.cnr.it/ontology/cnr/individuo/prodotto/ID57498

Collective atomic recoil laser as a synchronization transition (Articolo in rivista)

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Collective atomic recoil laser as a synchronization transition (Articolo in rivista) (literal)

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Javaloyes J.; Perrin M.; Politi A. (2008)
Collective atomic recoil laser as a synchronization transition
in Physical review. E, Statistical, nonlinear, and soft matter physics (Print)
(literal)

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1) Mediterrani Institut d' Avançats Estudis ( IMEDEA ) , Universitat Campus de les Illes Balears , E- 07.122 Palma de Mallorca, Spagna 2) Laboratoire de Physique des atomi di Lasers et molecole, F- 59.655 Villeneuve d'Ascq Cedex, Francia e Max- Planck -Institut Physik Systeme pelliccia Komplexer , Nothnitzer Strasse 38 , D- 01.187 Dresda, Germania 3) Istituto dei Sistemi Complessi , CNR , via Madonna del Piano 10, I- 50019 Sesto Fiorentino , Italia (literal)

Titolo

Abstract

We consider here a model previously introduced to describe the collective behavior of an ensemble of cold atoms interacting with a coherent electromagnetic field. The atomic motion along the self-generated spatially-periodic force field can be interpreted as the rotation of a phase oscillator. This suggests a relationship with synchronization transitions occurring in globally coupled rotators. In fact, we show that whenever the field dynamics can be adiabatically eliminated, the model reduces to a self-consistent equation for the probability distribution of the atomic \"phases\". In this limit, there exists a formal equivalence with the Kuramoto model, though with important differences in the self-consistency conditions. Depending on the field-cavity detuning, we show that the onset of synchronized behavior may occur through either a first- or second-order phase transition. Furthermore, we find a secondary threshold, above which a periodic self-pulsing regime sets in, that is immediately followed by the unlocking of the forward-field frequency. At yet higher, but still experimentally meaningful, input intensities, irregular, chaotic oscillations may eventually appear. Finally, we derive a simpler model, involving only five scalar variables, which is able to reproduce the entire phenomenology exhibited by the original model. (literal)

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