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

Achilleos, V.; Rothos, Vassilios M.; Frantzeskakis, D. J.

doi:10.1103/physreva.84.053626

Cited by 33 publications

(70 citation statements)

References 43 publications

(105 reference statements)

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“…The product of each of Eqs. (23) and (24) with Eq. (25) yields once again the conclusion that for the lattice solutions to exist the following must be true: If the dark soliton lattice is in the component with the smaller scattering length, the hyperfine states need to be miscible (i.e., for gu < g,2 < £22, it must be g]2 < £ n £ 22).…”

Section: Db Soliton Lattice With Out-of-phase Bright Neighborsmentioning

confidence: 99%

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: Db Soliton Lattice With Out-of-phase Bright Neighborsmentioning

confidence: 99%

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

et al. 2015

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“…As such, these states have also undergone intense theoretical investigation; see e.g. [45][46][47][48][49][50][51][52][53][54][55] for a number of relevant studies. The prototypical onedimensional model where such states can be found to arise is the coupled GPE [28] of the form:…”

Section: Dark-bright Solitonsmentioning

confidence: 99%

Transitions from order to disorder in multiple dark and multiple dark-bright soliton atomic clouds

Wang

Kevrekidis

2015

Phys. Rev. E

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We have performed a systematic study quantifying the variation of solitary wave behavior from that of an ordered cloud resembling a "crystalline" configuration to that of a disordered state that can be characterized as a soliton "gas". As our illustrative examples, we use both one-component, as well as two-component, one dimensional atomic gases very close to zero temperature, where in the presence of repulsive inter-atomic interactions and of a parabolic trap, a cloud, respectively of dark (dark-bright) solitons can form in the one-(two-) component system. We corroborate our findings through three distinct types of approaches, namely a Gross-Pitaevskii type of partial differential equation, particle-based ordinary differential equations describing the soliton dynamical system and Monte-Carlo simulations for the particle system. We define an "empirical" order parameter to characterize the order of the soliton lattices and study how this changes as a function of the strength of the "thermally" (i.e., kinetically) induced perturbations. As may be anticipated by the one-dimensional nature of our system, the transition from order to disorder is gradual without, apparently, a genuine phase transition ensuing in the intermediate regime.

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“…Although dark-bright solitons (and even a prototypical interaction thereof) were first observed some time ago in the context of nonlinear optics [20,21], their observation in recent atomic BECs experiments [10] triggered a sizeable burst of research activity centered around them. Topics of study included (but were not limited to) multi-DB soliton solutions from the viewpoint of integrable systems [22], numerical study of DB soliton interactions [23], discrete DB solitons [24], experimental realizations of DB soliton trains [18], DB soliton oscillations and interactions [25,26], as well as interaction of DB solitons with localized impurities [27].…”

Section: Introductionmentioning

confidence: 99%

Beating dark–dark solitons in Bose–Einstein condensates

Yan¹,

Chang²,

Hamner³

et al. 2012

J. Phys. B: At. Mol. Opt. Phys.

131

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Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to darkbright solitons via SO(2) rotation, and infer from it both their intrinsic beating frequency and their frequency of oscillation inside a parabolic trap. We identify them as exact periodic orbits in the Manakov limit of equal interand intra-species nonlinearity strengths with and without the trap and showcase the persistence of such states upon weak deviations from this limit. We also consider large deviations from the Manakov limit illustrating that this breathing state may be broken apart into dark-antidark soliton states. Finally, we consider the dynamics and interactions of two beating dark-dark solitons in the absence and in the presence of the trap, inferring their typically repulsive interaction.

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

Cited by 33 publications

References 43 publications

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

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

Transitions from order to disorder in multiple dark and multiple dark-bright soliton atomic clouds

Beating dark–dark solitons in Bose–Einstein condensates

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