Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Gertjerenken, Bettina; Weiß, Christoph

doi:10.1088/0953-4075/45/16/165301

Cited by 15 publications

(20 citation statements)

References 45 publications

(119 reference statements)

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“…Ref. [55]). The expansion of the center-of-mass wave function leads to the spreading of the single particle density, in this paper we consider this spreading in the absence of harmonic trapping potentials.…”

Section: Single-particle Density In the Absence Of Decoherencementioning

confidence: 99%

From short-time diffusive to long-time ballistic dynamics: The unusual center-of-mass motion of quantum bright solitons

2015

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(2015) 'From short-time diusive to long-time ballistic dynamics : the unusual center-of-mass motion of quantum bright solitons. ', Physical review A., 91 (6). 063616.Further information on publisher's website:http://dx.doi.org/10.1103/PhysRevA.91.063616Publisher's copyright statement:Reprinted with permission from the American Physical Society: Physical Review A 91, 063616 c 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Brownian motion is ballistic on short time scales and diffusive on long time scales. Our theoretical investigations indicate that one can observe the exact opposite-an "anomalous diffusion process" where initially diffusive motion becomes ballistic on longer time scales-in an ultracold atomic system with a size comparable to macromolecules. This system is the center-of-mass motion of a quantum matter-wave bright soliton for which the dominant source of decoherence is three-particle losses. Our simulations show that such unusual center-of-mass dynamics should be observable on experimentally accessible time scales.

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Section: Single-particle Density In the Absence Of Decoherencementioning

confidence: 99%

From short-time diffusive to long-time ballistic dynamics: The unusual center-of-mass motion of quantum bright solitons

2015

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“…Along the lines of [35] we focus in the following in particular on interferences in the CoM density.…”

Section: Two-particle Solitons: Interference Patterns For High-anmentioning

confidence: 99%

“…For the CoM density we obtain nearly perfect contrast (21) while it is considerably reduced for the single-particle density (cf. [35]). …”

Section: Figmentioning

confidence: 99%

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Bright-soliton quantum superpositions: Signatures of high- and low-fidelity states

Gertjerenken

2013

Phys. Rev. A

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Scattering quantum bright solitons off barriers has been predicted to lead to nonlocal quantum superpositions, in particular the NOON-state. The focus of this paper lies on signatures of both highand low-fidelity quantum superposition states. We numerically demonstrate that a one-dimensional geometry with the barrier potential situated in the middle of an additional -experimentally typical -harmonic confinement gives rise to particularly well-observable signatures. In the elastic scattering regime we investigate signatures of NOON-states on the N -particle level within an effective potential approach. We show that removing the barrier potential and subsequently recombining both parts of the quantum superposition leads to a high-contrast interference pattern in the center-of-mass coordinate for narrow and broad potential barriers. We demonstrate that the presented signatures can be used to clearly distinguish quantum superpositions states from statistical mixtures and are sufficiently robust against experimentally relevant excitations of the center-of-mass wave function to higher lying oscillator states. For two-particle solitons we extend these considerations to lowfidelity superposition states: even for strong deviations from the two-particle NOON-state we find interference patterns with high contrast.

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“…An object to be probed by the interferometer is placed as an obstacle through which one fragment will pass, which will affect the outcome of the recombination [8][9][10]. Soliton interferometers have been elaborated theoretically in various configurations [11][12][13][14][15][16][17][18][19][20] (including the case when the splitter is inserted as a localized self-repulsive nonlinearity, or its combination with the usual potential barrier [21]) and realized in experiment [9]. Interactions of matter-wave solitons with local potentials have also been studied in other contexts, such as an analytical treatment of the collisions [22], rebound from potential wells [23,24], dynamics of solitons in a dipolar BEC [12], and probing effects of interparticle interactions on tunneling [25,26].…”

Section: Introductionmentioning

confidence: 99%

Splitting of two-component solitary waves from collisions with narrow potential barriers

2020

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We consider the interaction of two component bright-bright solitons with a narrow potential barrier (splitter) in the framework of the two-component Gross-Pitaevskii (nonlinear-Schrödinger) system, with self-attraction within each component and cross-attraction between the components, motivated by the splitting of composite solitons facilitating the design of two-component soliton-interferometer schemes. We determine approximate analytic results by assuming a weak potential barrier and applying perturbation theory to the limit where the system becomes integrable. We do this for the case of negligible interspecies interactions, and also when the nonlinearities are strongly asymmetric, such that the wavefunction for the component with a smaller population is solved by neglecting its self-interaction term and the other component constitutes a bright soliton. We use numerical simulations to find the transmissions of both components in regions outside of these approximations and to compare with the approximate analytics, finding that there is an appreciable parameter range where one component is essentially entirely transmitted and the other reflected.

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Nonlocal quantum superpositions of bright matter-wave solitons and dimers

Cited by 15 publications

References 45 publications

From short-time diffusive to long-time ballistic dynamics: The unusual center-of-mass motion of quantum bright solitons

From short-time diffusive to long-time ballistic dynamics: The unusual center-of-mass motion of quantum bright solitons

Bright-soliton quantum superpositions: Signatures of high- and low-fidelity states

Splitting of two-component solitary waves from collisions with narrow potential barriers

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