Matter-wave soliton interferometer based on a nonlinear splitter

We elaborate a model of the interferometer which, unlike previously studied ones, uses a local ( δ -functional) nonlinear repulsive potential, embedded into a harmonic-oscillator trapping potential, as the splitter for the incident soliton. An estimate demonstrates that this setting may be implement...

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Main Authors: Hidetsugu Sakaguchi, Boris A Malomed
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/2/025020
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author Hidetsugu Sakaguchi
Boris A Malomed
author_facet Hidetsugu Sakaguchi
Boris A Malomed
author_sort Hidetsugu Sakaguchi
collection DOAJ
description We elaborate a model of the interferometer which, unlike previously studied ones, uses a local ( δ -functional) nonlinear repulsive potential, embedded into a harmonic-oscillator trapping potential, as the splitter for the incident soliton. An estimate demonstrates that this setting may be implemented by means of the localized Feshbach resonance controlled by a focused laser beam. The same system may be realized as a nonlinear waveguide in optics. Subsequent analysis produces an exact solution for scattering of a plane wave in the linear medium on the δ -functional nonlinear repulsive potential, and an approximate solution for splitting of the incident soliton when the ambient medium is nonlinear. The most essential result, obtained by means of systematic simulations, is that the use of the nonlinear splitter provides the sensitivity of the soliton-based interferometer to the target, inserted into one of its arms, which is much higher than the sensitivity provided by the usual linear splitter.
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spelling doaj.art-1f4b0d71dd1e497ba603896a251668712023-08-08T14:27:41ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118202502010.1088/1367-2630/18/2/025020Matter-wave soliton interferometer based on a nonlinear splitterHidetsugu Sakaguchi0Boris A Malomed1https://orcid.org/0000-0001-5323-1847Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Sciences, Kyushu University , Kasuga, Fukuoka 816-8580, JapanDepartment of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv Universit y, Tel Aviv 69978, IsraelWe elaborate a model of the interferometer which, unlike previously studied ones, uses a local ( δ -functional) nonlinear repulsive potential, embedded into a harmonic-oscillator trapping potential, as the splitter for the incident soliton. An estimate demonstrates that this setting may be implemented by means of the localized Feshbach resonance controlled by a focused laser beam. The same system may be realized as a nonlinear waveguide in optics. Subsequent analysis produces an exact solution for scattering of a plane wave in the linear medium on the δ -functional nonlinear repulsive potential, and an approximate solution for splitting of the incident soliton when the ambient medium is nonlinear. The most essential result, obtained by means of systematic simulations, is that the use of the nonlinear splitter provides the sensitivity of the soliton-based interferometer to the target, inserted into one of its arms, which is much higher than the sensitivity provided by the usual linear splitter.https://doi.org/10.1088/1367-2630/18/2/025020Bose–Einstein condensateFeshbach resonancescatteringnonlinear potentialsmatter-wave intereferometrysolitons
spellingShingle Hidetsugu Sakaguchi
Boris A Malomed
Matter-wave soliton interferometer based on a nonlinear splitter
New Journal of Physics
Bose–Einstein condensate
Feshbach resonance
scattering
nonlinear potentials
matter-wave intereferometry
solitons
title Matter-wave soliton interferometer based on a nonlinear splitter
title_full Matter-wave soliton interferometer based on a nonlinear splitter
title_fullStr Matter-wave soliton interferometer based on a nonlinear splitter
title_full_unstemmed Matter-wave soliton interferometer based on a nonlinear splitter
title_short Matter-wave soliton interferometer based on a nonlinear splitter
title_sort matter wave soliton interferometer based on a nonlinear splitter
topic Bose–Einstein condensate
Feshbach resonance
scattering
nonlinear potentials
matter-wave intereferometry
solitons
url https://doi.org/10.1088/1367-2630/18/2/025020
work_keys_str_mv AT hidetsugusakaguchi matterwavesolitoninterferometerbasedonanonlinearsplitter
AT borisamalomed matterwavesolitoninterferometerbasedonanonlinearsplitter