Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-09-08
J. Phys. B 38 (2005) 3607-3617
Physics
Condensed Matter
Other Condensed Matter
14 pages, 6 figures
Scientific paper
10.1088/0953-4075/38/19/013
We use a time-dependent dynamical mean-field-hydrodynamic model to study the formation of fermionic dark solitons in a trapped degenerate fermi gas mixed with a Bose-Einstein condensate in a harmonic as well as a periodic optical-lattice potential. The dark soliton with a "notch" in the probability density with a zero at the minimum is simulated numerically as a nonlinear continuation of the first vibrational excitation of the linear mean-field-hydrodynamic equations, as suggested recently for pure bosons. We study the free expansion of these dark solitons as well as the consequent increase in the size of their central notch and discuss the possibility of experimental observation of the notch after free expansion.
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