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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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IOP Publishing
2016-01-01
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Series: | New Journal of Physics |
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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. |
first_indexed | 2024-03-12T16:41:12Z |
format | Article |
id | doaj.art-1f4b0d71dd1e497ba603896a25166871 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:41:12Z |
publishDate | 2016-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |