Solitons in atomic Bose-Einstein Condensates (BEC). Gediminas Juzeliūnas Institute of Theoretical Physics and Astronomy of Vilnius University, Vilnius, Lithuania. Collaboration. P. Öhberg , Heriot-Watt University , Edinburgh, Scotland
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Institute of Theoretical Physics and Astronomy of Vilnius University, Vilnius, Lithuania
For simplicity V=0 (no trapping potential):
Linear wave equation
Wave-packet is spreading out
Non-linear wave equation
Non-spreading wave-packets (solitons) are possible
What is a bright and a dark soliton?
Observed a solitary water wave
in a water canal near Edinburgh
John Scott Russell (1808 – 1882)
(Depends on the sign of non-linearity)
(by illuminating a half
of the BEC)
J. Ruseckas, G. Juzeliūnas and P.Öhberg, and M. Fleischhauer, Phys. Rev. Letters 95, 010404 (2005).
A suggested setup to create solitons in BEC (Double STIRAP with a support beam 3)
BEC initially in the state 1:
π phase imprinting on the BEC in the state 1:
after the sweeping (with a π phase slip)
Subsequently the solitons oscillate: