Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-08-21
Physical Review A 75, 043617 (2007)
Physics
Condensed Matter
Other Condensed Matter
11 pages, 6 figures, expanded and more detailed verions of the previous submission
Scientific paper
10.1103/PhysRevA.75.043617
We use the hydrodynamic representation of the Gross -Pitaevskii/Nonlinear Schroedinger equation in order to analyze the dynamics of macroscopic tunneling process. We observe a tendency to a wave breaking and shock formation during the early stages of the tunneling process. A blip in the density distribution appears in the outskirts of the barrier and under proper conditions it may transform into a bright soliton. Our approach, based on the theory of shock formation in solutions of Burgers equation, allows us to find the parameters of the ejected blip (or soliton if formed) including the velocity of its propagation. The blip in the density is formed regardless of the value and sign of the nonlinearity parameter. However a soliton may be formed only if this parameter is negative (attraction) and large enough. A criterion is proposed. An ejection of a soliton is also observed numerically. We demonstrate, theoretically and numerically, controlled formation of soliton through tunneling. The mass of the ejected soliton is controlled by the initial state.
Dekel G.
Fleurov Victor
Soffer Abner
Stucchio Chris
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