Instabilities and self-oscillations in atomic four-wave mixing

Heurich, J.; Pu, Han; Moore, Michael; Meystre, Pierre

doi:10.1103/physreva.63.033605

Cited by 31 publications

(14 citation statements)

References 43 publications

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“…This unstable state links the two stable ones, representing a classical example of bistability which has been intensely studied in the context of nonlinear optics and laser theory [43]. The existence of such a state is the key to the development of atom-molecule switch, the matter wave analog [44] of optical bistable switch, for controlling matter waves by matter waves in a coherent and bistable fashion. Under such a bistable situation, no matter how slow we tune ∆, the system will not be able to follow the ground state -when we enter the dynamical unstable region, a discontinuous jump will necessarily occur and the atom-molecule conversion efficiency will suffer.…”

Section: B Case 2: λ =mentioning

confidence: 99%

Properties of a coupled two-species atom–heteronuclear-molecule condensate

et al. 2007

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We study the coherent association of a two species atomic condensate into a condensate of heteronuclear diatomic molecules, using both a semiclassical treatment and a quantum mechanical approach. The differences and connections between the two approaches are examined. We show that, in this coupled nonlinear atom-molecule system, the population difference between the two atomic species play significant roles in the ground state stability properties as well as in coherent population oscillation dynamics.

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Section: B Case 2: λ =mentioning

confidence: 99%

Properties of a coupled two-species atom–heteronuclear-molecule condensate

et al. 2007

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“…For instance, our results are of potential interest to the emerging area of multicomponent Bose-Einstein condensates (BEC). Considering that partially condensed BEC at finite temperature can be described by the Gross-Pitaevskii equation with incoherent matter waves [13], we can reasonably infer the existence of these incoherent solitons in spinor BEC's in which resonant four-wave interaction in the backward configuration has recently been studied [14]. 1 ; E f 2 ) of the output forward beam: typical output spectrum from the PM fiber, modulated because of interference between E f 1 and E f 2 .…”

Section: P H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 99%

Incoherent Solitons in Instantaneous Response Nonlinear Media

et al. 2004

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We show theoretically and experimentally in an optical fiber system that solitons can be spontaneously generated from incoherent light in an instantaneous response nonlinear Kerr medium. The theory reveals that the unexpected existence of these incoherent solitons relies on a phase-locking mechanism, which leads to the emergence of a mutual coherence between the incoherent waves that constitute the soliton.

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“…. Equations ( 8) and (9) give explicitly the analytical expressions of all energy eigenvalues and eigenstates utilizing the parameter λ for the model (1a). It is also simple to determine λ from Eq.…”

Section: Model and Approach Solutionmentioning

confidence: 99%