Coherent atomic soliton molecules for matter-wave switching

Yin, Chenyun; Berloff, Natalia G.; Pérez-Garcı́a, Vı́ctor M.; Novoa, David; Carpentier, Alicia V.; Michinel, Humberto

doi:10.1103/physreva.83.051605

Cited by 45 publications

(52 citation statements)

References 31 publications

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“…We should mention, in passing, that the dynamics of two-and three-DB-soliton configurations was recently studied in Ref. [26]; our study complements the latter by yielding analytical approximations and a numerical continuation and bifurcation approach toward such states.…”

Section: Multiple Dark-bright Solitons In the Trapmentioning

confidence: 89%

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Multiple dark-bright solitons in atomic Bose-Einstein condensates

et al. 2011

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Motivated by recent experimental results, we present a systematic theoretical analysis of dark-bright-soliton interactions and multiple-dark-bright-soliton complexes in atomic two-component Bose-Einstein condensates. We study analytically the interactions between two dark-bright solitons in a homogeneous condensate and then extend our considerations to the presence of the trap. We illustrate the existence of robust stationary dark-bright-soliton "molecules," composed of two or more solitons, which are formed due to the competition of the interaction forces between the dark-and bright-soliton components and the trap force. Our analysis is based on an effective equation of motion, derived for the distance between two dark-bright solitons. This equation provides equilibrium positions and characteristic oscillation frequencies of the solitons, which are found to be in good agreement with the eigenfrequencies of the anomalous modes of the system.

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Section: Multiple Dark-bright Solitons In the Trapmentioning

confidence: 89%

“…[25], DB-soliton dynamics were investigated numerically in Ref. [26], and DB solitons in discrete settings were recently analyzed in Ref. [27].…”

Section: Introductionmentioning

confidence: 99%

Multiple dark-bright solitons in atomic Bose-Einstein condensates

et al. 2011

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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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Coherent atomic soliton molecules for matter-wave switching

Cited by 45 publications

References 31 publications

Multiple dark-bright solitons in atomic Bose-Einstein condensates

Multiple dark-bright solitons 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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