Scattering of a matter-wave single soliton and a two-soliton molecule by an attractive potential
- Department of Physics, King Fahd University of Petroleum and Minerals, Dhahran 31261 (Saudi Arabia)
- Physics Department, United Arab Emirates University, P.O. Box 17551, Al-Ain (United Arab Emirates)
- Physical-Technical Institute, Uzbek Academy of Sciences, 100084, Tashkent (Uzbekistan)
Scattering of a matter-wave single soliton and two-soliton molecule incident on the modified Poeschl-Teller potential well has been studied by means of a collective coordinate approach and numerical simulations of the Gross-Pitaevskii equation. Despite the attractive nature of the potential we observe total reflection of solitons in particular ranges of parameters, which is the signature of quantum behavior displayed by the matter-wave soliton. For other particular sets of parameters unscathed transmission of solitons and molecules through the potential well has been identified. A specific feature of this process is that the soliton passing through the potential well overtakes the freely propagating counterpart; i.e., its mean position appears to have been advanced in time. An array of such potentials makes the 'time advance' effect even more pronounced, so that scattered solitons move well ahead of nonscattered ones, fully preserving their initial shape and velocity. A possible application of the obtained results is pointed out.
- OSTI ID:
- 21560036
- Journal Information:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevE.83.026603; (c) 2011 American Institute of Physics; ISSN 1539-3755
- Country of Publication:
- United States
- Language:
- English
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