Scattering of atomic dark–bright solitons from narrow impurities

Álvarez, A.; Cuevas, J.; Romero, F. R.; Hamner, Chris; Chang, JiaJia; Engels, Peter; Kevrekidis, P. G.; Frantzeskakis, D. J.

doi:10.1088/0953-4075/46/6/065302

Cited by 47 publications

(59 citation statements)

References 56 publications

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“…Finally, their stability was also numerically explored, finding that they can be least unstable in the vicinity of the miscibility-immiscibility threshold. sn-dn trapped, Q =0.02, g =1.5, |x =1.12 [4][5][6][7][10][11][12]) and the ability to tune scattering lengths by means of the Feshbach resonance mechanism [17], we believe that the type of states and configurations proposed herein should be well within experimental reach. Additionally, it would be extremely interesting to generalize relevant configurations in higher dimensions.…”

Section: Conclusion and Future Challengesmentioning

confidence: 63%

Dark-bright solitons and their lattices in atomic Bose-Einstein condensates

et al. 2015

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I n the present contribution, we explore a host of different stationary states, namely dark-bright solitons and their lattices, that arise in the context of multicomponent atomic Bose-Einstein condensates. The latter are modeled by systems of coupled Gross-Pitaevskii equations with general interaction (nonlinearity) coefficients gy. It is found that in some particular parameter ranges such solutions can be obtained in analytical form, however, numerically they are computed as existing in a far wider parametric range. Many features of the solutions under study, such as their analytical form without the trap or the stability and dynamical properties of one dark-bright soliton even in the presence of the trap are obtained analytically and corroborated numerically. Additional features, such as the stability of soliton lattice homogeneous states or their existence and stability in the presence of the trap, are examined numerically.

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Section: Conclusion and Future Challengesmentioning

confidence: 63%

Dark-bright solitons and their lattices in atomic Bose-Einstein condensates

et al. 2015

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“…The early theoretical prediction of DB solitons [18] was, after a considerable hiatus, followed by the experimental realization by the Hamburg group [19]. This, in turn, led to numerous further directions of explorations, many of which were pursued at Pullman [20][21][22][23][24][25]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

et al. 2016

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In this work, we employ the SO(2) rotations of a two-component, one-, two-, and three-dimensional nonlinear Schrödinger system at and near the Manakov limit to construct vector solitons and vortex structures. In this way, stable stationary dark-bright solitons and their higher-dimensional siblings are transformed into robust oscillatory dark-dark solitons (and generalizations thereof) with and without a harmonic confinement. By analogy to the one-dimensional case, vector higher-dimensional structures take the form of vortex-vortex states in two dimensions and, e.g., vortex-ring-vortex-ring ones in three dimensions. We consider the effects of unequal (self-and cross-) interaction strengths, where the SO(2) symmetry is only approximately satisfied, showing the dark-dark soliton oscillation is generally robust. Similar features are found in higher dimensions too, although our examples suggest that phenomena such as phase separation may contribute to the associated dynamics. These results, in connection with the experimental realization of one-dimensional variants of such states in optics and Bose-Einstein condensates, suggest the potential observability of the higher-dimensional bound states proposed herein.

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“…Solitons have been observed in binary mixtures of different spin states of the same atomic species, so-called pseudo-spinor BECs [22,23]. In particular, darkbright (DB) [24][25][26][27][28], and related SO(2) rotated states in the form of dark-dark solitons [29,30], have experimentally been created in binary 87 Rb BECs. Interestingly, although such BEC mixtures feature repulsive intra-and inter-component interactions, bright solitons do emerge due to an effective potential well created by the dark soliton through the intercomponent interaction [31].…”

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Three-Component Soliton States in Spinor F=1 Bose-Einstein Condensates

et al. 2018

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Dilute-gas Bose-Einstein condensates are an exceptionally versatile testbed for the investigation of novel solitonic structures. While matter-wave solitons in one-and two-component systems have been the focus of intense research efforts, an extension to three components has never been attempted in experiments, to the best of our knowledge. Here, we experimentally demonstrate the existence of robust dark-bright-bright (DBB) and dark-dark-bright (DDB) solitons in a spinor F = 1 condensate. We observe lifetimes on the order of hundreds of milliseconds for these structures. Our theoretical analysis, based on a multiscale expansion method, shows that small-amplitude solitons of these types obey universal long-short wave resonant interaction models, namely Yajima-Oikawa systems. Our experimental and analytical findings are corroborated by direct numerical simulations highlighting the persistence of, e.g., the DBB states, as well as their robust oscillations in the trap.PACS numbers: 03.75. Mn, 03.75.Lm Solitons are localized waves propagating undistorted in nonlinear dispersive media. They play a key role in numerous physical contexts [1]. Among the various systems that support solitons, dilute-gas Bose-Einstein condensates (BECs) [2,3] provide a particularly versatile testbed for the investigation of solitonic structures [4][5][6]. In single-component BECs, solitons have been observed either as robust localized pulses (bright solitons) [7][8][9][10][11] or density dips in a background matter wave (dark solitons) [12][13][14][15][16][17][18][19][20][21], typically in BECs with attractive or repulsive interatomic interactions, respectively. Extending such studies to two-component BECs has led to rich additional dynamics. Solitons have been observed in binary mixtures of different spin states of the same atomic species, so-called pseudo-spinor BECs [22,23]. In particular, darkbright (DB) [24][25][26][27][28], and related SO(2) rotated states in the form of dark-dark solitons [29,30], have experimentally been created in binary 87 Rb BECs. Interestingly, although such BEC mixtures feature repulsive intra-and inter-component interactions, bright solitons do emerge due to an effective potential well created by the dark soliton through the intercomponent interaction [31]. Such mixed soliton states have been proposed for potential applications. Indeed, in the context of optics where these structures were pioneered [32,33], the dark soliton component was proposed to act as an adjustable waveguide for weak bright solitons [34]. In multicomponent BECs, compound solitons of the mixed type could also be used for all-matter-wave waveguiding, with the dark soliton building an effective conduit for the bright one, similar to all-optical waveguiding in optics [35]. Apart from pseudospinor BECs, such mixed soliton states have also been predicted to occur in genuinely spinorial BECs, composed of different Zeeman sub-levels of the same hyperfine state [36][37][38]. Indeed, pertinent works [39,40] have studied the existence and dynamic...

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Scattering of atomic dark–bright solitons from narrow impurities

Cited by 47 publications

References 56 publications

Dark-bright solitons and their lattices in atomic Bose-Einstein condensates

Dark-bright solitons and their lattices in atomic Bose-Einstein condensates

SO(2)-induced breathing patterns in multicomponent Bose-Einstein condensates

Three-Component Soliton States in Spinor F=1 Bose-Einstein Condensates

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