Incoherently coupled dark–bright photorefractive solitons

Chen, Zhigang; Segev, Mordechai; Coskun, Tamer H.; Christodoulides, Demetrios N.; Kivshar, Yuri S.; Afanasjev, V. V.

doi:10.1364/ol.21.001821

Cited by 114 publications

(59 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…These soliton molecules were originally predicted in a nonlinear optics setting [51,52] and were first observed in photorefractive crystals [53]. Following their exposure to the BEC community [54], they were observed experimentally using the 87 Rb condensates [55], and were subsequently addressed theoretically in Refs.…”

Section: Stationary Statesmentioning

confidence: 99%

Faraday waves in binary nonmiscible Bose-Einstein condensates

Balaž

Nicolin

2012

Phys. Rev. A

View full text Add to dashboard Cite

We show by extensive numerical simulations and analytical variational calculations that elongated binary non-miscible Bose-Einstein condensates subject to periodic modulations of the radial confinement exhibit a Faraday instability similar to that seen in one-component condensates. Considering the hyperfine states of 87 Rb condensates, we show that there are two experimentally relevant stationary state configurations: the one in which the components form a dark-bright symbiotic pair (the ground state of the system), and the one in which the components are segregated (first excited state). For each of these two configurations, we show numerically that far from resonances the Faraday waves excited in the two components are of similar periods, emerge simultaneously, and do not impact the dynamics of the bulk of the condensate. We derive analytically the period of the Faraday waves using a variational treatment of the coupled Gross-Pitaevskii equations combined with a Mathieu-type analysis for the selection mechanism of the excited waves. Finally, we show that for a modulation frequency close to twice that of the radial trapping, the emergent surface waves fade out in favor of a forceful collective mode that turns the two condensate components miscible.

show abstract

Section: Stationary Statesmentioning

confidence: 99%

Faraday waves in binary nonmiscible Bose-Einstein condensates

Balaž

Nicolin

2012

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…Furthermore, they have recently been analyzed in discrete settings [12], while higher-dimensional generalizations-namely, vortex-bright-soliton structureswere studied as well [13]. Importantly, dark-bright solitons have been observed in experiments conducted both in optics [14,15] and, more recently, in BECs [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Statics and dynamics of atomic dark-bright solitons in the presence of impurities

2011

View full text Add to dashboard Cite

Adopting a mean-field description for a two-component atomic Bose-Einstein condensate, we study the statics and dynamics of dark-bright solitons in the presence of localized impurities. We use adiabatic perturbation theory to derive an equation of motion for the dark-bright soliton center. We show that, counterintuitively, an attractive (repulsive) delta-like impurity, acting solely on the bright-soliton component, induces an effective localized barrier (well) in the effective potential felt by the soliton; this way, dark-bright solitons are reflected from (transmitted through) attractive (repulsive) impurities. Our analytical results for the small-amplitude oscillations of solitons are found to be in good agreement with results obtained via a Bogoliubov-de Gennes analysis and direct numerical simulations.

show abstract

“…Dark-bright solitons were experimentally created in photorefractive crystals [5], while their interactions were partially monitored in [6]. Upon realization of multicomponent atomic BECs [7][8][9], it was predicted that similar structures would exist therein [10].…”

mentioning

confidence: 99%

Dynamics of dark–bright solitons in cigar-shaped Bose–Einstein condensates

et al. 2011

View full text Add to dashboard Cite

We explore the stability and dynamics of dark-bright solitons in two-component elongated BoseEinstein condensates by developing effective 1D vector equations as well as solving the corresponding 3D Gross-Pitaevskii equations. A strong dependence of the oscillation frequency and of the stability of the dark-bright (DB) soliton on the atom number of its components is found. Spontaneous symmetry breaking leads to oscillatory dynamics in the transverse degrees of freedom for a large occupation of the component supporting the dark soliton. Moreover, the interactions of two DB solitons are investigated with special emphasis on the importance of their relative phases. Experimental results showcasing dark-bright soliton dynamics and collisions in a BEC consisting of two hyperfine states of 87 Rb confined in an elongated optical dipole trap are presented.Introduction. Multi-component systems of nonlinear waves are a fascinating topic with a rich and diverse history spanning a variety of areas, including Bose-Einstein condensates (BECs) in atomic physics [1], optical fibers and crystals in nonlinear optics [2], and integrable systems in mathematical physics [3]. Of particular interest are the so-called "symbiotic solitons", namely structures that would not otherwise exist in one-component settings, but can be supported by the interaction between the optical or atomic species components. A prototypical example of such a structure is the dark-bright (DB) soliton in self-defocusing, two-component systems, whereby the dark soliton (density dip) which typically arises in self-defocusing media [1][2][3][4] creates, through nonlinearity, a trapping mechanism that localizes a density hump (bright soliton) in the second component.

show abstract

Incoherently coupled dark–bright photorefractive solitons

Abstract: We report the observation of incoherently coupled dark-bright spatial soliton pairs in a biased bulk photorefractive crystal. When such a pair is decoupled, the dark component evolves into a triplet structure, whereas the bright one decays into a self-defocusing beam.

Cited by 114 publications

References 16 publications

Faraday waves in binary nonmiscible Bose-Einstein condensates

Faraday waves in binary nonmiscible Bose-Einstein condensates

Statics and dynamics of atomic dark-bright solitons in the presence of impurities

Dynamics of dark–bright solitons in cigar-shaped Bose–Einstein condensates

Contact Info

Product

Resources

About