Dispersive Propagation of Ultraslow Pulses in an Atomic Bose-Einstein Condensate
D. Tarhana, S. Sefib and Ö.E. Müstecaplıoğluc
aDepartment of Physics, Harran University, 63300 Osmanbey Yerleşkesi, Şanlıurfa, Turkey
bDepartment of Physics, Istanbul Technical University, Maslak 34469, Istanbul, Turkey
cKoç University, Department of Physics, Rumelifeneri Yolu, 34450 Sarıyer, Istanbul, Turkey
Received: June 2, 2011
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One-dimensional propagation of ultraslow optical pulses in an atomic Bose-Einstein condensate taking into account the dispersion and the spatial inhomogeneity is investigated. Analytical and semi-analytical solutions of the dispersive inhomogeneous wave equation modeling the ultraslow pulse propagation are developed and compared against the standard wave equation solvers based upon Cranck-Nicholson and pseudo-spectral methods. The role of curvature of the trapping potential of the condensate on the amount of dispersion of the ultraslow pulse is pointed out.
DOI: 10.12693/APhysPolA.120.992
PACS numbers: 03.75.Nt, 42.50.Gy, 81.05.Ni