Cross Phase Modulation Induced Pulse Splitting ? the Optical Axe

Helczynski, L.; Hall, Björn; Anderson, D.; Lisak, M.; Berntson, A.; Desaix, M.

doi:10.1238/physica.topical.084a00081

Cited by 9 publications

(12 citation statements)

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“…These propagate without dispersion [6], are robust to collisions with other bright solitary matter-waves and with slowly varying external potentials [7,8], and have center-of-mass trajectories welldescribed by effective particle models [9][10][11]. Such solitonlike properties are due to the mean-field description of an atomic BEC reducing to the nonlinear Schrödinger equation in a homogeneous, quasi-one-dimensional (quasi-1D) limit, which for the case of attractive interactions supports the bright soliton solutions well-known in the context of nonlinear optics [12][13][14][15][16]. The quasi-1D limit is experimentally challenging for attractive condensates [17], but solitary wave dynamics remain highly soliton-like outside this limit [3,8].…”

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confidence: 60%

Sagnac Interferometry Using Bright Matter-Wave Solitons

2015

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. (2015) Reprinted with permission from the American Physical Society: Physical Review Letters 114, 134101 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.

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confidence: 60%

Sagnac Interferometry Using Bright Matter-Wave Solitons

2015

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“…These excitations are soliton-like in the sense that they propagate without dispersion [6], are robust to collisions with both other bright solitary matter-waves and slowly varying external potentials [7,8], and have center-of-mass trajectories which are well-described by effective particle models [9][10][11]. They derive these soliton-like properties from their analogousness to the bright soliton solutions of the focusing nonlinear Schrödinger equation (NLSE) [12][13][14][15][16], to which the mean-field description of an atomic BEC reduces in an effectively unconfined, quasi-one-dimensional (quasi-1D) limit. Although the quasi-1D limit is experimentally challenging for attractive condensates [17], bright solitary matterwave dynamics remain highly soliton-like outside this limit [3,8].…”

Section: Introductionmentioning

confidence: 99%

“…This is equivalent, in the continuum limit of an infinite number of waveguides, to splitting a soliton in the Gross-Pitaevskii equation (GPE) at a δ-function potential barrier [36]. In the optics community this phenomenon has been called the "optical axe" [16]. Incomplete/bound state splitting has been considered in the context of soliton molecule formation [22], within a mean-field de-scription, and also in the context of many-body quantum mechanical descriptions: in the latter it has been demonstrated that macroscopic quantum superpositions of solitary waves could be created, offering intriguing possibilities for future atom interferometry experiments [20,21].…”

Section: Introductionmentioning

confidence: 99%

Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry

et al. 2014

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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-pro t 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. We study bright solitons in the Gross-Pitaevskii equation as they are split and recombined in a low-energy system. We present analytic results determining the general region in which a soliton may not be split on a potential barrier and confirm these results numerically. Furthermore, we analyze the energetic regimes where quantum fluctuations in the initial center-of-mass position and momentum become influential on the outcome of soliton splitting and recombination events. We then use the results of this analysis to determine a parameter regime where soliton interferometry is practicable.

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“…They derive these solitonlike properties from their analogousness to the bright soliton solutions of the focusing nonlinear Schrödinger equation (NLSE), to which the mean-field description of an atomic BEC reduces in a homogeneous, quasione-dimensional (quasi-1D) limit. These bright soliton solutions of the 1D focusing NLSE have been extensively explored in nonlinear optics, both in the context of solitons in optical fibers [10][11][12][13][14] and as stable structures existing in arrays of coupled waveguides [15,16] which are described by a discretized NLSE. Although the quasi-1D limit is experimentally challenging for attractive condensates [17], bright solitary matter-wave dynamics remain highly solitonlike outside this limit [3,6].…”

Section: Introductionmentioning

confidence: 99%

“…When, in nonlinear optics, the soliton exists in an inhomogeneous array of discrete waveguides, the soliton can be reflected, split or captured at the position of the inhomogeneity [29][30][31]. This is equivalent, in the continuum limit of an infinite number of waveguides, to splitting a soliton in the GPE at a δ-function [29] -a phenomenon which has been called the "optical axe" [14]. Such splitting has been considered in the context of soliton molecule formation [21], within a mean-field description, and also in the context of many-body quantum mechanical descriptions: in the latter it has been demonstrated that macroscopic quantum superpositions of solitary waves could be created, offering intriguing possibilities for future atom interferometry experiments [19,20].…”

Section: Introductionmentioning

confidence: 99%

Bright matter-wave soliton collisions at narrow barriers

2012

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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-pro t 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. We study fast-moving bright solitons in the focusing nonlinear Schrödinger equation perturbed by a narrow Gaussian potential barrier. In particular, we present a general and comprehensive analysis of the case where two fast-moving bright solitons collide at the location of the barrier. In the limiting case of a δ-function barrier, we use an analytic method to show that the relative norms of the outgoing waves depends sinusoidally on the relative phase of the incoming waves, and to determine whether one, or both, of the outgoing waves are bright solitons. We show using numerical simulations that this analytic result is valid in the high velocity limit: outside this limit nonlinear effects introduce a skew to the phase dependence, which we quantify. Finally, we numerically explore the effects of introducing a finite-width Gaussian barrier. Our results are particularly relevant, as they can be used to describe a range of interferometry experiments using bright solitary matter-waves.

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Cross Phase Modulation Induced Pulse Splitting ? the Optical Axe

Cited by 9 publications

References 1 publication

Sagnac Interferometry Using Bright Matter-Wave Solitons

Sagnac Interferometry Using Bright Matter-Wave Solitons

Splitting bright matter-wave solitons on narrow potential barriers: Quantum to classical transition and applications to interferometry

Bright matter-wave soliton collisions at narrow barriers

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