TY - JOUR
T1 - Matter-wave soliton interferometer based on a nonlinear splitter
AU - Sakaguchi, Hidetsugu
AU - Malomed, Boris A.
N1 - Publisher Copyright:
© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
PY - 2016/2/22
Y1 - 2016/2/22
N2 - 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.
AB - 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.
KW - BoseEinstein condensate
KW - Feshbach resonance
KW - matter-wave intereferometry
KW - nonlinear potentials
KW - scattering
KW - solitons
UR - http://www.scopus.com/inward/record.url?scp=84960154544&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/18/2/025020
DO - 10.1088/1367-2630/18/2/025020
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AN - SCOPUS:84960154544
SN - 1367-2630
VL - 18
JO - New Journal of Physics
JF - New Journal of Physics
IS - 2
M1 - 025020
ER -