Matter-wave soliton interferometer based on a nonlinear splitter

Hidetsugu Sakaguchi, Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

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.

Original languageEnglish
Article number025020
JournalNew Journal of Physics
Volume18
Issue number2
DOIs
StatePublished - 22 Feb 2016

Funding

FundersFunder number
Japan Society for the Promotion of Science25400403

    Keywords

    • BoseEinstein condensate
    • Feshbach resonance
    • matter-wave intereferometry
    • nonlinear potentials
    • scattering
    • solitons

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